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232414140444031 = 7135620914543751
BaseRepresentation
bin110100110110000100100010…
…010010000010110101111111
31010110220120112001111000120201
4310312010202102002311333
5220430333124423202111
62142145325424424331
766645240030141340
oct6466044222026577
91113816461430521
10232414140444031
1168066313290467
12220975014780a7
139c8b737013b70
144156c93a180c7
151bd0959d656c1
hexd36122482d7f

232414140444031 has 16 divisors (see below), whose sum is σ = 286048744708608. Its totient is φ = 183887743500000.

The previous prime is 232414140443999. The next prime is 232414140444037. The reversal of 232414140444031 is 130444041414232.

It is a cyclic number.

It is not a de Polignac number, because 232414140444031 - 25 = 232414140443999 is a prime.

It is a super-3 number, since 3×2324141404440313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232414140444037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48878406 + ... + 53422156.

It is an arithmetic number, because the mean of its divisors is an integer number (17878046544288).

Almost surely, 2232414140444031 is an apocalyptic number.

232414140444031 is a deficient number, since it is larger than the sum of its proper divisors (53634604264577).

232414140444031 is a wasteful number, since it uses less digits than its factorization.

232414140444031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105862.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 232414140444031 its reverse (130444041414232), we get a palindrome (362858181858263).

The spelling of 232414140444031 in words is "two hundred thirty-two trillion, four hundred fourteen billion, one hundred forty million, four hundred forty-four thousand, thirty-one".

Divisors: 1 7 13 91 562091 3934637 4543751 7307183 31806257 51150281 59068763 413481341 2554001543341 17878010803387 33202020063433 232414140444031