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31130594131392 = 2632731728518543
BaseRepresentation
bin1110001010000001010000…
…00000010011110111000000
311002020001111122000102122100
413011000220000103313000
513040020424044201032
6150113110355110400
76362053100060130
oct705005000236700
9132201448012570
1031130594131392
119a124578a5858
1235a9398ba2400
13144a7aa701c42
14798a2bb58ac0
1538eba161297c
hex1c5028013dc0

31130594131392 has 336 divisors, whose sum is σ = 102346958518272. Its totient is φ = 8862249830400.

The previous prime is 31130594131391. The next prime is 31130594131397. The reversal of 31130594131392 is 29313149503113.

31130594131392 is a `hidden beast` number, since 3 + 1 + 1 + 30 + 594 + 13 + 13 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×311305941313922 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130594131391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3643984273 + ... + 3643992815.

Almost surely, 231130594131392 is an apocalyptic number.

31130594131392 is a gapful number since it is divisible by the number (32) 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 31130594131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51173479259136).

31130594131392 is an abundant number, since it is smaller than the sum of its proper divisors (71216364386880).

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

31130594131392 is a wasteful number, since it uses less digits than its factorization.

31130594131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 31130594131392 in words is "thirty-one trillion, one hundred thirty billion, five hundred ninety-four million, one hundred thirty-one thousand, three hundred ninety-two".