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104441004050424 = 233611314391124021
BaseRepresentation
bin10111101111110100010000…
…111100100100011111111000
3111200210110111010221011221220
4113233310100330210133320
5102142130134014103144
61010043311312032040
730666420304551036
oct2757642074443770
9450713433834856
10104441004050424
11303071aa019118
12b869448b32620
13463798a659c32
141bb0d85da5556
15c11b3bd8b919
hex5efd10f247f8

104441004050424 has 128 divisors (see below), whose sum is σ = 267471758568960. Its totient is φ = 33973542720000.

The previous prime is 104441004050413. The next prime is 104441004050507. The reversal of 104441004050424 is 424050400144401.

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, 842061534 + ... + 842185554.

It is an arithmetic number, because the mean of its divisors is an integer number (2089623113820).

Almost surely, 2104441004050424 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 104441004050424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133735879284480).

104441004050424 is an abundant number, since it is smaller than the sum of its proper divisors (163030754518536).

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

104441004050424 is a wasteful number, since it uses less digits than its factorization.

104441004050424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128613 (or 128609 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 104441004050424 its reverse (424050400144401), we get a palindrome (528491404194825).

The spelling of 104441004050424 in words is "one hundred four trillion, four hundred forty-one billion, four million, fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 131 183 244 262 366 393 488 524 732 786 1048 1464 1572 3144 4391 7991 8782 13173 15982 17564 23973 26346 31964 35128 47946 52692 63928 95892 105384 124021 191784 248042 267851 372063 496084 535702 575221 744126 803553 992168 1071404 1150442 1488252 1607106 1725663 2142808 2300884 2976504 3214212 3451326 4601768 6428424 6902652 7565281 13805304 15130562 16246751 22695843 30261124 32493502 35088481 45391686 48740253 60522248 64987004 70176962 90783372 97480506 105265443 129974008 140353924 181566744 194961012 210530886 280707848 389922024 421061772 544576211 842123544 991051811 1089152422 1633728633 1982103622 2178304844 2973155433 3267457266 3964207244 4356609688 5946310866 6534914532 7928414488 11892621732 13069829064 23785243464 33219148871 66438297742 71339483641 99657446613 132876595484 142678967282 199314893226 214018450923 265753190968 285357934564 398629786452 428036901846 570715869128 797259572904 856073803692 1712147607384 4351708502101 8703417004202 13055125506303 17406834008404 26110251012606 34813668016808 52220502025212 104441004050424