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31430998080 = 26335172947157
BaseRepresentation
bin11101010001011011…
…101111100001000000
310000010110222010201000
4131101123233201000
51003332313414310
622234511212000
72161614034626
oct352133574100
9100113863630
1031430998080
1112369a85079
126112217000
132c6b9a7c21
141742509516
15c3e5934c0
hex7516ef840

31430998080 has 896 divisors, whose sum is σ = 124826572800. Its totient is φ = 7407009792.

The previous prime is 31430998037. The next prime is 31430998087. The reversal of 31430998080 is 8089903413.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31430998087) 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 127 ways as a sum of consecutive naturals, for example, 200197362 + ... + 200197518.

Almost surely, 231430998080 is an apocalyptic number.

31430998080 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 31430998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62413286400).

31430998080 is an abundant number, since it is smaller than the sum of its proper divisors (93395574720).

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

31430998080 is a wasteful number, since it uses less digits than its factorization.

31430998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 31430998080 in words is "thirty-one billion, four hundred thirty million, nine hundred ninety-eight thousand, eighty".