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14381842104 = 23327171678553
BaseRepresentation
bin11010110010011100…
…10111111010111000
31101010021222021110200
431121032113322320
5213423222421404
610335032442200
71016252432550
oct153116277270
941107867420
1014381842104
1161101a1923
122954549360
131482763656
149a60b2160
1559290b839
hex359397eb8

14381842104 has 96 divisors (see below), whose sum is σ = 47133796320. Its totient is φ = 3867383808.

The previous prime is 14381842103. The next prime is 14381842129. The reversal of 14381842104 is 40124818341.

It is a happy number.

14381842104 is a `hidden beast` number, since 1 + 438 + 1 + 8 + 4 + 210 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14381842103) 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, 830709 + ... + 847844.

It is an arithmetic number, because the mean of its divisors is an integer number (490977045).

Almost surely, 214381842104 is an apocalyptic number.

14381842104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14381842104 is an abundant number, since it is smaller than the sum of its proper divisors (32751954216).

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

14381842104 is a wasteful number, since it uses less digits than its factorization.

14381842104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678589 (or 1678582 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14381842104 in words is "fourteen billion, three hundred eighty-one million, eight hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 1678553 3357106 5035659 6714212 10071318 11749871 13428424 15106977 20142636 23499742 28535401 30213954 35249613 40285272 46999484 57070802 60427908 70499226 85606203 93998968 105748839 114141604 120855816 140998452 171212406 199747807 211497678 228283208 256818609 281996904 342424812 399495614 422995356 513637218 599243421 684849624 798991228 845990712 1027274436 1198486842 1597982456 1797730263 2054548872 2396973684 3595460526 4793947368 7190921052 14381842104