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1330040140 = 2251113283431
BaseRepresentation
bin100111101000110…
…1100110101001100
310102200201001001221
41033101230311030
510210442241030
6335551213124
744650104022
oct11721546514
93380631057
101330040140
11622855930
123115171a4
13182725300
14c8900712
157bb75e7a
hex4f46cd4c

1330040140 has 144 divisors (see below), whose sum is σ = 3346914816. Its totient is φ = 440044800.

The previous prime is 1330040093. The next prime is 1330040143. The reversal of 1330040140 is 410400331.

It is a super-2 number, since 2×13300401402 = 3538013548022439200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330040143) 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, 3085725 + ... + 3086155.

It is an arithmetic number, because the mean of its divisors is an integer number (23242464).

Almost surely, 21330040140 is an apocalyptic number.

1330040140 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 1330040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673457408).

1330040140 is an abundant number, since it is smaller than the sum of its proper divisors (2016874676).

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

1330040140 is a wasteful number, since it uses less digits than its factorization.

1330040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1330040140 is about 36469.7153813956. The cubic root of 1330040140 is about 1099.7355121683.

Adding to 1330040140 its reverse (410400331), we get a palindrome (1740440471).

The spelling of 1330040140 in words is "one billion, three hundred thirty million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 83 110 130 143 166 169 220 260 286 332 338 415 431 572 676 715 830 845 862 913 1079 1430 1660 1690 1724 1826 1859 2155 2158 2860 3380 3652 3718 4310 4316 4565 4741 5395 5603 7436 8620 9130 9295 9482 10790 11206 11869 14027 18260 18590 18964 21580 22412 23705 23738 28015 28054 35773 37180 47410 47476 56030 56108 59345 61633 70135 71546 72839 94820 112060 118690 123266 140270 143092 145678 154297 178865 237380 246532 280540 291356 308165 308594 357730 364195 393503 465049 616330 617188 715460 728390 771485 787006 801229 930098 1232660 1456780 1542970 1574012 1602458 1860196 1967515 2325245 3085940 3204916 3935030 4006145 4650490 5115539 6045637 7870060 8012290 9300980 10231078 12091274 16024580 20462156 24182548 25577695 30228185 51155390 60456370 66502007 102310780 120912740 133004014 266008028 332510035 665020070 1330040140