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31403766141 = 3211317209759
BaseRepresentation
bin11101001111110011…
…110111000101111101
310000001120201121111200
4131033303313011331
51003303331004031
622232055410113
72161133415336
oct351763670575
9100046647450
1031403766141
1112355675340
126105083939
132c66161b57
14173ca5b28d
15c3beb48e6
hex74fcf717d

31403766141 has 12 divisors (see below), whose sum is σ = 49484722560. Its totient is φ = 19032585480.

The previous prime is 31403766131. The next prime is 31403766209. The reversal of 31403766141 is 14166730413.

31403766141 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 37 + 6 + 614 + 1 = 666.

It is not a de Polignac number, because 31403766141 - 29 = 31403765629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31403766096 and 31403766105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31403766131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158604781 + ... + 158604978.

It is an arithmetic number, because the mean of its divisors is an integer number (4123726880).

Almost surely, 231403766141 is an apocalyptic number.

It is an amenable number.

31403766141 is a deficient number, since it is larger than the sum of its proper divisors (18080956419).

31403766141 is a wasteful number, since it uses less digits than its factorization.

31403766141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317209776 (or 317209773 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 31403766141 in words is "thirty-one billion, four hundred three million, seven hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 317209759 951629277 2854887831 3489307349 10467922047 31403766141