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31420076544 = 29326818593
BaseRepresentation
bin11101010000110010…
…000101001000000000
310000002201102021011200
4131100302011020000
51003322014422134
622233441141200
72161422146463
oct352062051000
9100081367150
1031420076544
11123638a560a
12610a62a800
132c69652a8c
141740ca52da
15c3d637499
hex750c85200

31420076544 has 60 divisors (see below), whose sum is σ = 90680481606. Its totient is φ = 10473357312.

The previous prime is 31420076521. The next prime is 31420076563. The reversal of 31420076544 is 44567002413.

31420076544 is a `hidden beast` number, since 3 + 1 + 42 + 0 + 0 + 76 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24111878400 + 7308198144 = 155280^2 + 85488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31420076499 and 31420076508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3404689 + ... + 3413904.

Almost surely, 231420076544 is an apocalyptic number.

It is an amenable number.

31420076544 is an abundant number, since it is smaller than the sum of its proper divisors (59260405062).

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

31420076544 is an equidigital number, since it uses as much as digits as its factorization.

31420076544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818617 (or 6818598 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 31420076544 its reverse (44567002413), we get a palindrome (75987078957).

The spelling of 31420076544 in words is "thirty-one billion, four hundred twenty million, seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6818593 13637186 20455779 27274372 40911558 54548744 61367337 81823116 109097488 122734674 163646232 218194976 245469348 327292464 436389952 490938696 654584928 872779904 981877392 1309169856 1745559808 1963754784 2618339712 3491119616 3927509568 5236679424 7855019136 10473358848 15710038272 31420076544