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442542444245244 = 223372210926476711
BaseRepresentation
bin110010010011111010111000…
…1001011111111000011111100
32011000220122101211120202022000
41210213311301023333003330
5431001103411211321434
64205113105311022300
7162133431213350040
oct14447656113770374
92130818354522260
10442542444245244
1111900a21879a682
124177383520a990
1315cc175ba87755
147b3d250860020
153626827d08b99
hex1927d712ff0fc

442542444245244 has 96 divisors (see below), whose sum is σ = 1311296229196800. Its totient is φ = 126434974610880.

The previous prime is 442542444245219. The next prime is 442542444245257.

442542444245244 is a `hidden beast` number, since 4 + 4 + 2 + 54 + 2 + 4 + 44 + 24 + 524 + 4 = 666.

442542444245244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3476049 + ... + 29952759.

It is an arithmetic number, because the mean of its divisors is an integer number (13659335720800).

Almost surely, 2442542444245244 is an apocalyptic number.

It is an amenable number.

442542444245244 is an abundant number, since it is smaller than the sum of its proper divisors (868753784951556).

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

442542444245244 is a wasteful number, since it uses less digits than its factorization.

442542444245244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26498840 (or 26498832 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 54.

The spelling of 442542444245244 in words is "four hundred forty-two trillion, five hundred forty-two billion, four hundred forty-four million, two hundred forty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 22109 44218 66327 88436 132654 154763 198981 265308 309526 397962 464289 596943 619052 795924 928578 1193886 1392867 1857156 2387772 2785734 4178601 5571468 8357202 16714404 26476711 52953422 79430133 105906844 158860266 185336977 238290399 317720532 370673954 476580798 556010931 714871197 741347908 953161596 1112021862 1429742394 1668032793 2224043724 2859484788 3336065586 5004098379 6672131172 10008196758 20016393516 585373603499 1170747206998 1756120810497 2341494413996 3512241620994 4097615224493 5268362431491 7024483241988 8195230448986 10536724862982 12292845673479 15805087294473 16390460897972 21073449725964 24585691346958 31610174588946 36878537020437 49171382693916 63220349177892 73757074040874 110635611061311 147514148081748 221271222122622 442542444245244