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431401113983 = 72593132111239
BaseRepresentation
bin1100100011100011000…
…00101001100101111111
31112020112002022020102102
412101301200221211333
524032002141121413
6530103303015315
743111343652200
oct6216140514577
91466462266372
10431401113983
11156a57756074
126b73743a53b
13318b1081c68
1416c4672d5a7
15b34d537458
hex647182997f

431401113983 has 24 divisors (see below), whose sum is σ = 503105502240. Its totient is φ = 368836554240.

The previous prime is 431401113937. The next prime is 431401114019. The reversal of 431401113983 is 389311104134.

It is a happy number.

It is not a de Polignac number, because 431401113983 - 28 = 431401113727 is a prime.

It is a super-2 number, since 2×4314011139832 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431401113083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38378678 + ... + 38389916.

It is an arithmetic number, because the mean of its divisors is an integer number (20962729260).

Almost surely, 2431401113983 is an apocalyptic number.

431401113983 is a deficient number, since it is larger than the sum of its proper divisors (71704388257).

431401113983 is a wasteful number, since it uses less digits than its factorization.

431401113983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13167 (or 13160 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 431401113983 in words is "four hundred thirty-one billion, four hundred one million, one hundred thirteen thousand, nine hundred eighty-three".

Divisors: 1 7 49 593 1321 4151 9247 11239 29057 64729 78673 550711 783353 5483471 6664727 14846719 38384297 46653089 103927033 326571623 727489231 8804104367 61628730569 431401113983