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1314502420 = 2257211611999
BaseRepresentation
bin100111001011001…
…1011011100010100
310101121110122022211
41032112123130110
510143003034140
6334234203204
744401041400
oct11626333424
93347418284
101314502420
11615003140
12308283504
1317c444caa
14c6818100
157a6072ea
hex4e59b714

1314502420 has 144 divisors (see below), whose sum is σ = 3562272000. Its totient is φ = 402796800.

The previous prime is 1314502391. The next prime is 1314502421. The reversal of 1314502420 is 242054131.

It is a super-2 number, since 2×13145024202 = 3455833224371712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1314502391 and 1314502400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314502421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656581 + ... + 658579.

It is an arithmetic number, because the mean of its divisors is an integer number (24738000).

Almost surely, 21314502420 is an apocalyptic number.

1314502420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314502420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136000).

1314502420 is an abundant number, since it is smaller than the sum of its proper divisors (2247769580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314502420 is a wasteful number, since it uses less digits than its factorization.

1314502420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1314502420 is about 36256.0673543064. The cubic root of 1314502420 is about 1095.4363043805.

Adding to 1314502420 its reverse (242054131), we get a palindrome (1556556551).

The spelling of 1314502420 in words is "one billion, three hundred fourteen million, five hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 61 70 77 98 110 122 140 154 196 220 244 245 305 308 385 427 490 539 610 671 770 854 980 1078 1220 1342 1540 1708 1999 2135 2156 2684 2695 2989 3355 3998 4270 4697 5390 5978 6710 7996 8540 9394 9995 10780 11956 13420 13993 14945 18788 19990 21989 23485 27986 29890 32879 39980 43978 46970 55972 59780 65758 69965 87956 93940 97951 109945 121939 131516 139930 153923 164395 195902 219890 243878 279860 307846 328790 391804 439780 487756 489755 609695 615692 657580 769615 853573 979510 1077461 1219390 1341329 1539230 1707146 1959020 2154922 2438780 2682658 3078460 3414292 4267865 4309844 5365316 5387305 5975011 6706645 8535730 9389303 10774610 11950022 13413290 17071460 18778606 21549220 23900044 26826580 29875055 37557212 46946515 59750110 65725121 93893030 119500220 131450242 187786060 262900484 328625605 657251210 1314502420