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31434041601 = 332941995813
BaseRepresentation
bin11101010001100111…
…010110100100000001
310000010200200202122000
4131101213112210001
51003334103312401
622235100334213
72161651642104
oct352147264401
9100120622560
1031434041601
1112370773786
126113244369
132c6c502321
141742a9c73b
15c3e995186
hex7519d6901

31434041601 has 32 divisors (see below), whose sum is σ = 48290256000. Its totient is φ = 20184905664.

The previous prime is 31434041593. The next prime is 31434041623. The reversal of 31434041601 is 10614043413.

31434041601 is a `hidden beast` number, since 3 + 14 + 3 + 4 + 0 + 41 + 601 = 666.

It is not a de Polignac number, because 31434041601 - 23 = 31434041593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31434041671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280171 + ... + 375983.

It is an arithmetic number, because the mean of its divisors is an integer number (1509070500).

Almost surely, 231434041601 is an apocalyptic number.

It is an amenable number.

31434041601 is a deficient number, since it is larger than the sum of its proper divisors (16856214399).

31434041601 is a wasteful number, since it uses less digits than its factorization.

31434041601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96270 (or 96264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 31434041601 in words is "thirty-one billion, four hundred thirty-four million, forty-one thousand, six hundred one".

Divisors: 1 3 9 27 29 87 261 419 783 1257 3771 11313 12151 36453 95813 109359 287439 328077 862317 2586951 2778577 8335731 25007193 40145647 75021579 120436941 361310823 1083932469 1164223763 3492671289 10478013867 31434041601