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31006297140 = 223571329593319
BaseRepresentation
bin11100111000000111…
…101000110000110100
32222000212211002112120
4130320013220300310
51002000103002030
622124420315540
72145236114520
oct347007506064
988025732476
1031006297140
1112171278a65
126013b42bb0
132c019c85b0
141701d54d80
15c17151010
hex7381e8c34

31006297140 has 384 divisors, whose sum is σ = 112444416000. Its totient is φ = 6207473664.

The previous prime is 31006297099. The next prime is 31006297151. The reversal of 31006297140 is 4179260013.

It is a super-2 number, since 2×310062971402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9340401 + ... + 9343719.

It is an arithmetic number, because the mean of its divisors is an integer number (292824000).

Almost surely, 231006297140 is an apocalyptic number.

31006297140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31006297140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56222208000).

31006297140 is an abundant number, since it is smaller than the sum of its proper divisors (81438118860).

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

31006297140 is a wasteful number, since it uses less digits than its factorization.

31006297140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 31006297140 in words is "thirty-one billion, six million, two hundred ninety-seven thousand, one hundred forty".