Search a number
-
+
31069998020880 = 2436571337158227
BaseRepresentation
bin1110001000010000011000…
…01100011111100100010000
311002000021002120202002000000
413010020030030133210100
513033022323443132010
6150025205434130000
76354506341452660
oct704101414374420
9132007076662000
1031069998020880
119999791987085
1235996a7580900
131444b7160b650
14795b200521a0
1538d3068ae7c0
hex1c420c31f910

31069998020880 has 1120 divisors, whose sum is σ = 136904607377664. Its totient is φ = 6378214109184.

The previous prime is 31069998020869. The next prime is 31069998020921. The reversal of 31069998020880 is 8802089996013.

31069998020880 is a `hidden beast` number, since 310 + 69 + 99 + 80 + 20 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 196284327 + ... + 196442553.

Almost surely, 231069998020880 is an apocalyptic number.

31069998020880 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 31069998020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68452303688832).

31069998020880 is an abundant number, since it is smaller than the sum of its proper divisors (105834609356784).

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

31069998020880 is a wasteful number, since it uses less digits than its factorization.

31069998020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158315 (or 158294 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 31069998020880 in words is "thirty-one trillion, sixty-nine billion, nine hundred ninety-eight million, twenty thousand, eight hundred eighty".