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14038506560 = 2651311872843
BaseRepresentation
bin11010001001100001…
…01001110001000000
31100020100221000122102
431010300221301000
5212222324202220
610241005525532
71004613223361
oct150460516100
940210830572
1014038506560
115a54409841
1228795738a8
1314295a1a20
1497265bb68
155726dc775
hex344c29c40

14038506560 has 112 divisors (see below), whose sum is σ = 36043672896. Its totient is φ = 5177260032.

The previous prime is 14038506553. The next prime is 14038506607. The reversal of 14038506560 is 6560583041.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4936499 + ... + 4939341.

It is an arithmetic number, because the mean of its divisors is an integer number (321818508).

Almost surely, 214038506560 is an apocalyptic number.

14038506560 is a gapful number since it is divisible by the number (10) 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 14038506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021836448).

14038506560 is an abundant number, since it is smaller than the sum of its proper divisors (22005166336).

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

14038506560 is a wasteful number, since it uses less digits than its factorization.

14038506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 14038506560 in words is "fourteen billion, thirty-eight million, five hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1187 2080 2374 2843 4160 4748 5686 5935 9496 11372 11870 14215 15431 18992 22744 23740 28430 30862 36959 37984 45488 47480 56860 61724 73918 75968 77155 90976 94960 113720 123448 147836 154310 181952 184795 189920 227440 246896 295672 308620 369590 379840 454880 493792 591344 617240 739180 909760 987584 1182688 1234480 1478360 2365376 2468960 2956720 3374641 4937920 5913440 6749282 11826880 13498564 16873205 26997128 33746410 43870333 53994256 67492820 87740666 107988512 134985640 175481332 215977024 219351665 269971280 350962664 438703330 539942560 701925328 877406660 1079885120 1403850656 1754813320 2807701312 3509626640 7019253280 14038506560