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14381359104 = 2133783597
BaseRepresentation
bin11010110010011001…
…00010000000000000
31101010021001201220210
431121030202000000
5213423111442404
610335014234120
71016245351440
oct153114420000
941107051823
1014381359104
11610a9a1a52
122954355940
131482624858
149a5dc8120
15592863689
hex359322000

14381359104 has 112 divisors (see below), whose sum is σ = 43826753088. Its totient is φ = 4108910592.

The previous prime is 14381359099. The next prime is 14381359129. The reversal of 14381359104 is 40195318341.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130234 + ... + 213830.

Almost surely, 214381359104 is an apocalyptic number.

14381359104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14381359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21913376544).

14381359104 is an abundant number, since it is smaller than the sum of its proper divisors (29445393984).

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

14381359104 is an frugal number, since it uses more digits than its factorization.

14381359104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83633 (or 83609 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 14381359104 in words is "fourteen billion, three hundred eighty-one million, three hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 21504 24576 28672 43008 57344 83597 86016 167194 172032 250791 334388 501582 585179 668776 1003164 1170358 1337552 1755537 2006328 2340716 2675104 3511074 4012656 4681432 5350208 7022148 8025312 9362864 10700416 14044296 16050624 18725728 21400832 28088592 32101248 37451456 42801664 56177184 64202496 74902912 85603328 112354368 128404992 149805824 171206656 224708736 256809984 299611648 342413312 449417472 513619968 599223296 684826624 898834944 1027239936 1198446592 1797669888 2054479872 2396893184 3595339776 4793786368 7190679552 14381359104