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31159470000 = 2435417107571
BaseRepresentation
bin11101000001001111…
…111100011110110000
32222102120001002012110
4131001033330132300
51002303311020000
622151531325320
72152106060601
oct350117743660
988376032173
1031159470000
111223a787aaa
1260572b0840
132c27668719
141718427da8
15c2580a850
hex7413fc7b0

31159470000 has 400 divisors, whose sum is σ = 107687428992. Its totient is φ = 7733760000.

The previous prime is 31159469987. The next prime is 31159470031. The reversal of 31159470000 is 7495113.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 31159470000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54569715 + ... + 54570285.

Almost surely, 231159470000 is an apocalyptic number.

31159470000 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 31159470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53843714496).

31159470000 is an abundant number, since it is smaller than the sum of its proper divisors (76527958992).

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

31159470000 is a wasteful number, since it uses less digits than its factorization.

31159470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 31159470000 in words is "thirty-one billion, one hundred fifty-nine million, four hundred seventy thousand".