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41314904380992 = 2631121778361931
BaseRepresentation
bin10010110010011011000000…
…01100110001011001000000
312102021122222201111110121110
421121031200030301121000
520403400411010142432
6223511445520323320
711462621562630054
oct1131154014613100
9172248881443543
1041314904380992
111218960949a300
124773131a73540
131a08c9546c548
14a2b91b2b7c64
154b9a67369dcc
hex259360331640

41314904380992 has 84 divisors (see below), whose sum is σ = 120153245573648. Its totient is φ = 12519667987200.

The previous prime is 41314904380931. The next prime is 41314904381021. The reversal of 41314904380992 is 29908340941314.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 889157734 + ... + 889204197.

Almost surely, 241314904380992 is an apocalyptic number.

It is an amenable number.

41314904380992 is an abundant number, since it is smaller than the sum of its proper divisors (78838341192656).

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

41314904380992 is a wasteful number, since it uses less digits than its factorization.

41314904380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778361968 (or 1778361947 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 41314904380992 in words is "forty-one trillion, three hundred fourteen billion, nine hundred four million, three hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 1778361931 3556723862 5335085793 7113447724 10670171586 14226895448 19561981241 21340343172 28453790896 39123962482 42680686344 56907581792 58685943723 78247924964 85361372688 113815163584 117371887446 156495849928 170722745376 215181793651 234743774892 312991699856 341445490752 430363587302 469487549784 625983399712 645545380953 860727174604 938975099568 1251966799424 1291090761906 1721454349208 1877950199136 2582181523812 3442908698416 3755900398272 5164363047624 6885817396832 10328726095248 13771634793664 20657452190496 41314904380992