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31395460000 = 255423131521
BaseRepresentation
bin11101001111010100…
…001011001110100000
310000001000002121121211
4131033110023032200
51003244214210000
622231201355504
72161003002232
oct351724131640
9100030077554
1031395460000
1112350a11863
126102338b94
132c64514288
14173b8d8252
15c3b3c37ba
hex74f50b3a0

31395460000 has 240 divisors, whose sum is σ = 81366804288. Its totient is φ = 11897600000.

The previous prime is 31395459983. The next prime is 31395460003. The reversal of 31395460000 is 6459313.

It is a super-2 number, since 2×313954600002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31395460003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60259740 + ... + 60260260.

Almost surely, 231395460000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31395460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40683402144).

31395460000 is an abundant number, since it is smaller than the sum of its proper divisors (49971344288).

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

31395460000 is a wasteful number, since it uses less digits than its factorization.

31395460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 31395460000 in words is "thirty-one billion, three hundred ninety-five million, four hundred sixty thousand".