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1431232113312 = 253248710204427
BaseRepresentation
bin10100110100111100000…
…101001110101010100000
312001211021000201112120100
4110310330011032222200
5141422130410111222
63013255435142400
7205255160144001
oct24647405165240
95054230645510
101431232113312
11501a89241291
121b14708a4a00
13a4c703282b1
144d3b45431a8
152736a0194ac
hex14d3c14eaa0

1431232113312 has 72 divisors (see below), whose sum is σ = 4078424147616. Its totient is φ = 476097699456.

The previous prime is 1431232113271. The next prime is 1431232113317. The reversal of 1431232113312 is 2133112321341.

1431232113312 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 2 + 321 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1431232113317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4961958 + ... + 5242469.

It is an arithmetic number, because the mean of its divisors is an integer number (56644779828).

Almost surely, 21431232113312 is an apocalyptic number.

1431232113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1431232113312 is an abundant number, since it is smaller than the sum of its proper divisors (2647192034304).

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

1431232113312 is a wasteful number, since it uses less digits than its factorization.

1431232113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204930 (or 10204919 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1431232113312 its reverse (2133112321341), we get a palindrome (3564344434653).

The spelling of 1431232113312 in words is "one trillion, four hundred thirty-one billion, two hundred thirty-two million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 487 974 1461 1948 2922 3896 4383 5844 7792 8766 11688 15584 17532 23376 35064 46752 70128 140256 10204427 20408854 30613281 40817708 61226562 81635416 91839843 122453124 163270832 183679686 244906248 326541664 367359372 489812496 734718744 979624992 1469437488 2938874976 4969555949 9939111898 14908667847 19878223796 29817335694 39756447592 44726003541 59634671388 79512895184 89452007082 119269342776 159025790368 178904014164 238538685552 357808028328 477077371104 715616056656 1431232113312