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231400141120224 = 25321747263100719
BaseRepresentation
bin110100100111010100001011…
…001101100110001011100000
31010100022122012200212021002100
4310213110023031212023200
5220312224442111321344
62140051431324050400
766512052133121226
oct6447241315461340
91110278180767070
10231400141120224
116780528108937a
1221b52a93093a00
139c16c2a61518b
14411db80232b16
151bb43ae5a1569
hexd2750b3662e0

231400141120224 has 72 divisors (see below), whose sum is σ = 696752630814240. Its totient is φ = 72596122702848.

The previous prime is 231400141120201. The next prime is 231400141120243. The reversal of 231400141120224 is 422021141004132.

231400141120224 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 0 + 0 + 1 + 411 + 20 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23631545464 + ... + 23631555255.

It is an arithmetic number, because the mean of its divisors is an integer number (9677119872420).

Almost surely, 2231400141120224 is an apocalyptic number.

231400141120224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231400141120224 is an abundant number, since it is smaller than the sum of its proper divisors (465352489694016).

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

231400141120224 is a wasteful number, since it uses less digits than its factorization.

231400141120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47263100752 (or 47263100741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 231400141120224 its reverse (422021141004132), we get a palindrome (653421282124356).

The spelling of 231400141120224 in words is "two hundred thirty-one trillion, four hundred billion, one hundred forty-one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 47263100719 94526201438 141789302157 189052402876 283578604314 378104805752 425367906471 567157208628 756209611504 803472712223 850735812942 1134314417256 1512419223008 1606945424446 1701471625884 2268628834512 2410418136669 3213890848892 3402943251768 4537257669024 4820836273338 6427781697784 6805886503536 7231254410007 9641672546676 12855563395568 13611773007072 14462508820014 19283345093352 25711126791136 28925017640028 38566690186704 57850035280056 77133380373408 115700070560112 231400141120224