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14379838272 = 2632167149491
BaseRepresentation
bin11010110010001101…
…01110101101000000
31101010011012110201200
431121012232231000
5213422214311042
610334521501200
71016226415512
oct153106565500
941104173650
1014379838272
11610a053368
122953941800
131482211557
149a5b0dbb2
15592662c4c
hex3591aeb40

14379838272 has 84 divisors (see below), whose sum is σ = 41464297056. Its totient is φ = 4764545280.

The previous prime is 14379838261. The next prime is 14379838273. The reversal of 14379838272 is 27283897341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379838273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21447 + ... + 170937.

It is an arithmetic number, because the mean of its divisors is an integer number (493622584).

Almost surely, 214379838272 is an apocalyptic number.

14379838272 is a gapful number since it is divisible by the number (12) 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 14379838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732148528).

14379838272 is an abundant number, since it is smaller than the sum of its proper divisors (27084458784).

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

14379838272 is a wasteful number, since it uses less digits than its factorization.

14379838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149676 (or 149663 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 14379838272 in words is "fourteen billion, three hundred seventy-nine million, eight hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 167 192 288 334 501 576 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 16032 24048 32064 48096 96192 149491 298982 448473 597964 896946 1195928 1345419 1793892 2391856 2690838 3587784 4783712 5381676 7175568 9567424 10763352 14351136 21526704 24964997 28702272 43053408 49929994 74894991 86106816 99859988 149789982 199719976 224684973 299579964 399439952 449369946 599159928 798879904 898739892 1198319856 1597759808 1797479784 2396639712 3594959568 4793279424 7189919136 14379838272