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14260534376 = 23112376312
BaseRepresentation
bin11010100011111111…
…00111110001101000
31100210211201012112212
431101333213301220
5213201144100001
610315020424252
71013250353654
oct152177476150
940724635485
1014260534376
116058777600
12291b9a8088
13146359c42a
14993d35a64
15586e487bb
hex351fe7c68

14260534376 has 72 divisors (see below), whose sum is σ = 30232497330. Its totient is φ = 6296875200.

The previous prime is 14260534357. The next prime is 14260534441. The reversal of 14260534376 is 67343506241.

It can be written as a sum of positive squares in only one way, i.e., 9442786276 + 4817748100 = 97174^2 + 69410^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22599581 + ... + 22600211.

Almost surely, 214260534376 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 14260534376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116248665).

14260534376 is an abundant number, since it is smaller than the sum of its proper divisors (15971962954).

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

14260534376 is an equidigital number, since it uses as much as digits as its factorization.

14260534376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 14260534376 in words is "fourteen billion, two hundred sixty million, five hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 631 814 968 1262 1628 2524 3256 4477 5048 6941 8954 13882 17908 23347 27764 35816 46694 55528 76351 93388 152702 186776 256817 305404 398161 513634 610808 796322 1027268 1592644 2054536 2824987 3185288 4379771 5649974 8759542 11299948 14731957 17519084 22599896 29463914 35038168 48177481 58927828 96354962 117855656 162051527 192709924 324103054 385419848 648206108 1296412216 1782566797 3565133594 7130267188 14260534376