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1314214434 = 2321323317877
BaseRepresentation
bin100111001010101…
…0101001000100010
310101120221000021200
41032111111020202
510142414330214
6334224102030
744365431651
oct11625251042
93346830250
101314214434
11614926835
12308164916
1317c373ba0
14c6781198
157a59bd09
hex4e555222

1314214434 has 96 divisors (see below), whose sum is σ = 3303465984. Its totient is φ = 374267520.

The previous prime is 1314214357. The next prime is 1314214463. The reversal of 1314214434 is 4344124131.

1314214434 is a `hidden beast` number, since 1 + 3 + 14 + 214 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1314214398 and 1314214407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162904 + ... + 170780.

It is an arithmetic number, because the mean of its divisors is an integer number (34411104).

Almost surely, 21314214434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314214434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651732992).

1314214434 is an abundant number, since it is smaller than the sum of its proper divisors (1989251550).

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

1314214434 is a wasteful number, since it uses less digits than its factorization.

1314214434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7949 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1314214434 is about 36252.0955808075. The cubic root of 1314214434 is about 1095.3563011398.

Adding to 1314214434 its reverse (4344124131), we get a palindrome (5658338565).

The spelling of 1314214434 in words is "one billion, three hundred fourteen million, two hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 31 39 46 62 69 78 93 117 138 186 207 234 279 299 403 414 558 598 713 806 897 1209 1426 1794 2139 2418 2691 3627 4278 5382 6417 7254 7877 9269 12834 15754 18538 23631 27807 47262 55614 70893 83421 102401 141786 166842 181171 204802 244187 307203 362342 488374 543513 614406 732561 921609 1087026 1465122 1630539 1843218 2197683 2355223 3174431 3261078 4395366 4710446 5616301 6348862 7065669 9523293 11232602 14131338 16848903 19046586 21197007 28569879 33697806 42394014 50546709 57139758 73011913 101093418 146023826 219035739 438071478 657107217 1314214434