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23271144117232 = 2411261758438647
BaseRepresentation
bin1010100101010001111000…
…10001110101001111110000
310001101200220001020002021011
411102220330101311033300
511022233300343222412
6121254341021040304
74621166434162264
oct522507421651760
9101350801202234
1023271144117232
1174622671a4210
12273a12b0b6094
13cca5c860699b
145a6487b920a4
152a550880c7a7
hex152a3c4753f0

23271144117232 has 80 divisors (see below), whose sum is σ = 49219644241152. Its totient is φ = 10570718568960.

The previous prime is 23271144117229. The next prime is 23271144117233.

23271144117232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232711441172322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23271144117233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691234733 + ... + 2691243379.

Almost surely, 223271144117232 is an apocalyptic number.

23271144117232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23271144117232 is an abundant number, since it is smaller than the sum of its proper divisors (25948500123920).

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

23271144117232 is a wasteful number, since it uses less digits than its factorization.

23271144117232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17126 (or 17120 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The spelling of 23271144117232 in words is "twenty-three trillion, two hundred seventy-one billion, one hundred forty-four million, one hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 2617 5234 5843 8647 10468 11686 17294 20936 23372 28787 34588 41872 46744 57574 64273 69176 93488 95117 115148 128546 138352 190234 230296 257092 380468 460592 514184 760936 1028368 1521872 15291131 22629199 30582262 45258398 50524421 61164524 90516796 101048842 122329048 168202441 181033592 202097684 244658096 248921189 336404882 362067184 404195368 497842378 555768631 672809764 808390736 995684756 1111537262 1345619528 1991369512 2223074524 2691239056 3982739024 4446149048 8892298096 132222409757 264444819514 528889639028 1057779278056 1454446507327 2115558556112 2908893014654 5817786029308 11635572058616 23271144117232