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441145244523102 = 23790718676202699
BaseRepresentation
bin110010001001110000010000…
…1100110000001101001011110
32010211222001222120210210212220
41210103200201212001221132
5430310210430044214402
64202123154432010210
7161630456255563260
oct14423404146015136
92124861876723786
10441145244523102
1111862071399a609
1241588aa1990966
1315c1ca83377432
147ad178810bb30
15360030093adbc
hex1913821981a5e

441145244523102 has 64 divisors (see below), whose sum is σ = 1009984549324800. Its totient is φ = 125835077136096.

The previous prime is 441145244523059. The next prime is 441145244523119. The reversal of 441145244523102 is 201325442541144.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68020149 + ... + 74222847.

It is an arithmetic number, because the mean of its divisors is an integer number (15781008583200).

Almost surely, 2441145244523102 is an apocalyptic number.

441145244523102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

441145244523102 is an abundant number, since it is smaller than the sum of its proper divisors (568839304801698).

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

441145244523102 is a wasteful number, since it uses less digits than its factorization.

441145244523102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205485.

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 441145244523102 in words is "four hundred forty-one trillion, one hundred forty-five billion, two hundred forty-four million, five hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 907 1814 1867 2721 3734 5442 5601 6349 11202 12698 13069 19047 26138 38094 39207 78414 1693369 3386738 5080107 6202699 10160214 11853583 12405398 18608097 23707166 35560749 37216194 43418893 71121498 86837786 130256679 260513358 5625847993 11251695986 11580439033 16877543979 23160878066 33755087958 34741317099 39380935951 69482634198 78761871902 81063073231 118142807853 162126146462 236285615706 243189219693 486378439386 10503458202931 21006916405862 31510374608793 63020749217586 73524207420517 147048414841034 220572622261551 441145244523102