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422131141131224 = 23731011523147321
BaseRepresentation
bin101111111111011010001000…
…0101101110011101111011000
32001100122100021000202012010212
41133332310100231303233120
5420312144034112144344
64053444211415430252
7154625653124462000
oct13776642055635730
92040570230665125
10422131141131224
1111255a8a22613a8
123b417a15085388
1315170a464bca45
1476353831c9000
1533c08ee0b379e
hex17fed10b73bd8

422131141131224 has 64 divisors (see below), whose sum is σ = 932166161064000. Its totient is φ = 179122124832000.

The previous prime is 422131141131097. The next prime is 422131141131263.

422131141131224 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761296517 + ... + 761850804.

It is an arithmetic number, because the mean of its divisors is an integer number (14565096266625).

Almost surely, 2422131141131224 is an apocalyptic number.

It is an amenable number.

422131141131224 is an abundant number, since it is smaller than the sum of its proper divisors (510035019932776).

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

422131141131224 is a wasteful number, since it uses less digits than its factorization.

422131141131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523147449 (or 1523147431 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 422131141131224 in words is "four hundred twenty-two trillion, one hundred thirty-one billion, one hundred forty-one million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 343 392 404 686 707 808 1372 1414 2744 2828 4949 5656 9898 19796 34643 39592 69286 138572 277144 1523147321 3046294642 6092589284 10662031247 12185178568 21324062494 42648124988 74634218729 85296249976 149268437458 153837879421 298536874916 307675758842 522439531103 597073749832 615351517684 1044879062206 1076865155947 1230703035368 2089758124412 2153730311894 4179516248824 4307460623788 7538056091629 8614921247576 15076112183258 30152224366516 52766392641403 60304448733032 105532785282806 211065570565612 422131141131224