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31422236672 = 21139172
BaseRepresentation
bin11101010000111010…
…010100100000000000
310000002212111000022102
4131100322110200000
51003323043033142
622233555325532
72161446414311
oct352072244000
9100085430272
1031422236672
1112365040542
12610b2b08a8
132c69c2b068
1417412a8608
15c3d912532
hex750e94800

31422236672 has 36 divisors (see below), whose sum is σ = 62845174665. Its totient is φ = 15707107328.

The previous prime is 31422236663. The next prime is 31422236707. The reversal of 31422236672 is 27663222413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 28041511936 + 3380724736 = 167456^2 + 58144^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=125344.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8020058 + ... + 8023974.

Almost surely, 231422236672 is an apocalyptic number.

31422236672 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 31422236672

31422236672 is an abundant number, since it is smaller than the sum of its proper divisors (31422937993).

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

31422236672 is an frugal number, since it uses more digits than its factorization.

31422236672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 3919 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The spelling of 31422236672 in words is "thirty-one billion, four hundred twenty-two million, two hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3917 7834 15668 31336 62672 125344 250688 501376 1002752 2005504 4011008 8022016 15342889 30685778 61371556 122743112 245486224 490972448 981944896 1963889792 3927779584 7855559168 15711118336 31422236672