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100665043344 = 24321997379307
BaseRepresentation
bin101110111000000011…
…0101010100110010000
3100121211112001001012200
41131300012222212100
53122130222341334
6114124521123200
710162400515245
oct1356006524620
9317745031180
10100665043344
1139767879aa8
1217614629500
13965352ca08
144c2d4d95cc
152942804799
hex17701aa990

100665043344 has 120 divisors (see below), whose sum is σ = 299607803040. Its totient is φ = 31461156864.

The previous prime is 100665043343. The next prime is 100665043357. The reversal of 100665043344 is 443340566001.

100665043344 is a `hidden beast` number, since 100 + 6 + 6 + 504 + 3 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100665043299 and 100665043308.

It is not an unprimeable number, because it can be changed into a prime (100665043343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75739 + ... + 455045.

It is an arithmetic number, because the mean of its divisors is an integer number (2496731692).

Almost surely, 2100665043344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100665043344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149803901520).

100665043344 is an abundant number, since it is smaller than the sum of its proper divisors (198942759696).

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

100665043344 is a wasteful number, since it uses less digits than its factorization.

100665043344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379437 (or 379428 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 100665043344 in words is "one hundred billion, six hundred sixty-five million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 97 114 144 152 171 194 228 291 304 342 388 456 582 684 776 873 912 1164 1368 1552 1746 1843 2328 2736 3492 3686 4656 5529 6984 7372 11058 13968 14744 16587 22116 29488 33174 44232 66348 88464 132696 265392 379307 758614 1137921 1517228 2275842 3034456 3413763 4551684 6068912 6827526 7206833 9103368 13655052 14413666 18206736 21620499 27310104 28827332 36792779 43240998 54620208 57654664 64861497 73585558 86481996 110378337 115309328 129722994 147171116 172963992 220756674 259445988 294342232 331135011 345927984 441513348 518891976 588684464 662270022 699062801 883026696 1037783952 1324540044 1398125602 1766053392 2097188403 2649080088 2796251204 4194376806 5298160176 5592502408 6291565209 8388753612 11185004816 12583130418 16777507224 25166260836 33555014448 50332521672 100665043344