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421232242232124 = 2232101331334968443
BaseRepresentation
bin101111111000110111100011…
…0001010101000101100111100
32001020110102001012212211101100
41133301233012022220230330
5420202432113002411444
64051515230504413100
7154504011434061111
oct13761570612505474
92036412035784340
10421232242232124
11112243655268a54
123b2b1769777190
1315107050bab73b
147603a6c14a908
1533a733d588e69
hex17f1bc62a8b3c

421232242232124 has 72 divisors (see below), whose sum is σ = 1075648500147312. Its totient is φ = 138978575884800.

The previous prime is 421232242232099. The next prime is 421232242232167.

It is a happy number.

421232242232124 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 322 + 4 + 2 + 2 + 321 + 2 + 4 = 666.

421232242232124 is nontrivially palindromic in base 10.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5438154 + ... + 29530289.

It is an arithmetic number, because the mean of its divisors is an integer number (14939562502046).

Almost surely, 2421232242232124 is an apocalyptic number.

It is an amenable number.

421232242232124 is an abundant number, since it is smaller than the sum of its proper divisors (654416257915188).

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

421232242232124 is a wasteful number, since it uses less digits than its factorization.

421232242232124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34971867 (or 34971862 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 421232242232124 in words is "four hundred twenty-one trillion, two hundred thirty-two billion, two hundred forty-two million, two hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3313 3636 6626 9939 13252 19878 29817 39756 59634 119268 334613 669226 1003839 1338452 2007678 3011517 4015356 6023034 12046068 34968443 69936886 104905329 139873772 209810658 314715987 419621316 629431974 1258863948 3531812743 7063625486 10595438229 14127250972 21190876458 31786314687 42381752916 63572629374 115850451659 127145258748 231700903318 347551354977 463401806636 695102709954 1042654064931 1390205419908 2085308129862 4170616259724 11700895617559 23401791235118 35102686852677 46803582470236 70205373705354 105308060558031 140410747410708 210616121116062 421232242232124