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1004442054102 = 2326119121122699
BaseRepresentation
bin11101001110111010110…
…10010110110111010110
310120000122021221011011100
432213131122112313112
5112424044131212402
62045233451050530
7132366003406044
oct16473532266726
93500567834140
101004442054102
11357a88398993
12142801740a46
1373945664316
143688838b394
151b1db70a71c
hexe9dd696dd6

1004442054102 has 96 divisors (see below), whose sum is σ = 2234185574400. Its totient is φ = 326034072000.

The previous prime is 1004442054079. The next prime is 1004442054107. The reversal of 1004442054102 is 2014502444001.

1004442054102 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 44 + 205 + 410 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004442054107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44239149 + ... + 44261847.

It is an arithmetic number, because the mean of its divisors is an integer number (23272766400).

Almost surely, 21004442054102 is an apocalyptic number.

1004442054102 is an abundant number, since it is smaller than the sum of its proper divisors (1229743520298).

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

1004442054102 is a wasteful number, since it uses less digits than its factorization.

1004442054102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23170 (or 23167 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1004442054102 its reverse (2014502444001), we get a palindrome (3018944498103).

The spelling of 1004442054102 in words is "one trillion, four billion, four hundred forty-two million, fifty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 61 122 183 191 211 366 382 422 549 573 633 1098 1146 1266 1719 1899 3438 3798 11651 12871 22699 23302 25742 34953 38613 40301 45398 68097 69906 77226 80602 104859 115839 120903 136194 204291 209718 231678 241806 362709 408582 725418 1384639 2458361 2769278 4153917 4335509 4789489 4916722 7375083 8307834 8671018 9578978 12461751 13006527 14368467 14750166 22125249 24923502 26013054 28736934 39019581 43105401 44250498 78039162 86210802 264466049 292158829 528932098 584317658 793398147 876476487 914792399 1586796294 1752952974 1829584798 2380194441 2629429461 2744377197 4760388882 5258858922 5488754394 8233131591 16466263182 55802336339 111604672678 167407009017 334814018034 502221027051 1004442054102