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14212523360 = 2557104912097
BaseRepresentation
bin11010011110010000…
…11110010101100000
31100200111100222211002
431033020132111200
5213101401221420
610310143411132
71012125312110
oct151710362540
940614328732
1014212523360
116033665182
1229078b3aa8
13145665c449
1498b7d9040
15582b13075
hex34f21e560

14212523360 has 96 divisors (see below), whose sum is σ = 38413569600. Its totient is φ = 4867817472.

The previous prime is 14212523333. The next prime is 14212523363. The reversal of 14212523360 is 6332521241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212523363) 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, 1168832 + ... + 1180928.

It is an arithmetic number, because the mean of its divisors is an integer number (400141350).

Almost surely, 214212523360 is an apocalyptic number.

14212523360 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 14212523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206784800).

14212523360 is an abundant number, since it is smaller than the sum of its proper divisors (24201046240).

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

14212523360 is a wasteful number, since it uses less digits than its factorization.

14212523360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13168 (or 13160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 14212523360 in words is "fourteen billion, two hundred twelve million, five hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1049 1120 2098 4196 5245 7343 8392 10490 12097 14686 16784 20980 24194 29372 33568 36715 41960 48388 58744 60485 73430 83920 84679 96776 117488 120970 146860 167840 169358 193552 234976 241940 293720 338716 387104 423395 483880 587440 677432 846790 967760 1174880 1354864 1693580 1935520 2709728 3387160 6774320 12689753 13548640 25379506 50759012 63448765 88828271 101518024 126897530 177656542 203036048 253795060 355313084 406072096 444141355 507590120 710626168 888282710 1015180240 1421252336 1776565420 2030360480 2842504672 3553130840 7106261680 14212523360