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104104144344 = 2331031272231487
BaseRepresentation
bin110000011110100010…
…1110010110111011000
3100221201012022110212210
41200331011302313120
53201201130104334
6115454053035120
710343540424624
oct1407505626730
9327635273783
10104104144344
1140172091532
1218214325aa0
139a80b96115
145078164184
152a946d25e9
hex183d172dd8

104104144344 has 128 divisors (see below), whose sum is σ = 266222960640. Its totient is φ = 33918175872.

The previous prime is 104104144327. The next prime is 104104144429. The reversal of 104104144344 is 443441401401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70008769 + ... + 70010255.

It is an arithmetic number, because the mean of its divisors is an integer number (2079866880).

Almost surely, 2104104144344 is an apocalyptic number.

It is an amenable number.

104104144344 is an abundant number, since it is smaller than the sum of its proper divisors (162118816296).

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

104104144344 is a wasteful number, since it uses less digits than its factorization.

104104144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 104104144344 its reverse (443441401401), we get a palindrome (547545545745).

The spelling of 104104144344 in words is "one hundred four billion, one hundred four million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 103 127 206 223 254 309 381 412 446 508 618 669 762 824 892 1016 1236 1338 1487 1524 1784 2472 2676 2974 3048 4461 5352 5948 8922 11896 13081 17844 22969 26162 28321 35688 39243 45938 52324 56642 68907 78486 84963 91876 104648 113284 137814 153161 156972 169926 183752 188849 226568 275628 306322 313944 331601 339852 377698 459483 551256 566547 612644 663202 679704 755396 918966 994803 1133094 1225288 1326404 1510792 1837932 1989606 2266188 2652808 2917063 3675864 3979212 4532376 5834126 7958424 8751189 11668252 17502378 19451447 23336504 34154903 35004756 38902894 42113327 58354341 68309806 70009512 77805788 84226654 102464709 116708682 126339981 136619612 155611576 168453308 204929418 233417364 252679962 273239224 336906616 409858836 466834728 505359924 819717672 1010719848 4337672681 8675345362 13013018043 17350690724 26026036086 34701381448 52052072172 104104144344