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104233441210344 = 23323739126667121
BaseRepresentation
bin10111101100110010111101…
…001111001010111111101000
3111200001121201201211102020100
4113230302331033022333220
5102130230041422212334
61005404103140025400
730645421561534425
oct2754627517127750
9450047651742210
10104233441210344
1130237177226266
12b835180692260
13462122c54a174
141ba4cd56d4d4c
15c0b53e9c0c99
hex5eccbd3cafe8

104233441210344 has 48 divisors (see below), whose sum is σ = 289928603374020. Its totient is φ = 33805440391680.

The previous prime is 104233441210277. The next prime is 104233441210387. The reversal of 104233441210344 is 443012144332401.

104233441210344 is a `hidden beast` number, since 1 + 0 + 4 + 233 + 4 + 412 + 1 + 0 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85105606572900 + 19127834637444 = 9225270^2 + 4373538^2 .

It is a super-2 number, since 2×1042334412103442 (a number of 29 digits) contains 22 as substring.

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 = 104233441210299 and 104233441210308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19563330897 + ... + 19563336224.

Almost surely, 2104233441210344 is an apocalyptic number.

It is an amenable number.

104233441210344 is an abundant number, since it is smaller than the sum of its proper divisors (185695162163676).

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

104233441210344 is a wasteful number, since it uses less digits than its factorization.

104233441210344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39126667170 (or 39126667163 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 104233441210344 its reverse (443012144332401), we get a palindrome (547245585542745).

The spelling of 104233441210344 in words is "one hundred four trillion, two hundred thirty-three billion, four hundred forty-one million, two hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 39126667121 78253334242 117380001363 156506668484 234760002726 313013336968 352140004089 469520005452 704280008178 939040010904 1408560016356 1447686683477 2817120032712 2895373366954 4343060050431 5790746733908 8686120100862 11581493467816 13029180151293 17372240201724 26058360302586 34744480403448 52116720605172 104233441210344