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14460028608 = 263233788499
BaseRepresentation
bin11010111011110001…
…01000011011000000
31101022202002120012010
431131320220123000
5214103231403413
610350504332520
71021222133544
oct153570503300
941282076163
1014460028608
116150344573
122976774140
131495a0a45c
149b2625a24
15599702dc3
hex35de286c0

14460028608 has 112 divisors (see below), whose sum is σ = 41001696000. Its totient is φ = 4485786624.

The previous prime is 14460028607. The next prime is 14460028663. The reversal of 14460028608 is 80682006441.

It is a super-3 number, since 3×144600286083 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14460028607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119143 + ... + 207641.

Almost surely, 214460028608 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 14460028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500848000).

14460028608 is an abundant number, since it is smaller than the sum of its proper divisors (26541667392).

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

14460028608 is a wasteful number, since it uses less digits than its factorization.

14460028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88574 (or 88564 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 14460028608 in words is "fourteen billion, four hundred sixty million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 138 148 184 192 222 276 296 368 444 552 592 736 851 888 1104 1184 1472 1702 1776 2208 2368 2553 3404 3552 4416 5106 6808 7104 10212 13616 20424 27232 40848 54464 81696 88499 163392 176998 265497 353996 530994 707992 1061988 1415984 2035477 2123976 2831968 3274463 4070954 4247952 5663936 6106431 6548926 8141908 8495904 9823389 12212862 13097852 16283816 16991808 19646778 24425724 26195704 32567632 39293556 48851448 52391408 65135264 75312649 78587112 97702896 104782816 130270528 150625298 157174224 195405792 209565632 225937947 301250596 314348448 390811584 451875894 602501192 628696896 903751788 1205002384 1807503576 2410004768 3615007152 4820009536 7230014304 14460028608