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14297504168480 = 2551329237027589
BaseRepresentation
bin1101000000001110010110…
…1010000011101000100000
31212121211100122111121022012
43100003211222003220200
53333222242031342410
650224103245532052
73003650324145251
oct320034552035040
955554318447265
1014297504168480
1146125a0405805
12172ab51274028
137c9330982870
14376007d26b28
1519bd9e406605
hexd00e5a83a20

14297504168480 has 96 divisors (see below), whose sum is σ = 37630500188400. Its totient is φ = 5097041252352.

The previous prime is 14297504168477. The next prime is 14297504168489. The reversal of 14297504168480 is 8486140579241.

It can be written as a sum of positive squares in 8 ways, for example, as 7494650868496 + 6802853299984 = 2737636^2 + 2608228^2 .

It is not an unprimeable number, because it can be changed into a prime (14297504168489) 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, 118453475 + ... + 118574114.

Almost surely, 214297504168480 is an apocalyptic number.

14297504168480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14297504168480 is an abundant number, since it is smaller than the sum of its proper divisors (23332996019920).

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

14297504168480 is a wasteful number, since it uses less digits than its factorization.

14297504168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237027646 (or 237027638 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 59.

The spelling of 14297504168480 in words is "fourteen trillion, two hundred ninety-seven billion, five hundred four million, one hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 60320 237027589 474055178 948110356 1185137945 1896220712 2370275890 3081358657 3792441424 4740551780 6162717314 6873800081 7584882848 9481103560 12325434628 13747600162 15406793285 18962207120 24650869256 27495200324 30813586570 34369000405 37924414240 49301738512 54990400648 61627173140 68738000810 89359401053 98603477024 109980801296 123254346280 137476001620 178718802106 219961602592 246508692560 274952003240 357437604212 446797005265 493017385120 549904006480 714875208424 893594010530 1099808012960 1429750416848 1787188021060 2859500833696 3574376042120 7148752084240 14297504168480