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14001265015144 = 23111095591261077
BaseRepresentation
bin1100101110111110110001…
…1011010111100101101000
31211120111201020021101022021
43023233230123113211220
53313344042320441034
645440031540434224
72643362253661261
oct313575433274550
954514636241267
1014001265015144
1145089a30a8250
1216a16573a8974
137a7410060014
14365944483968
15194311ecc6b4
hexcbbec6d7968

14001265015144 has 64 divisors (see below), whose sum is σ = 28906973884800. Its totient is φ = 6304672108800.

The previous prime is 14001265015139. The next prime is 14001265015147. The reversal of 14001265015144 is 44151056210041.

It is not an unprimeable number, because it can be changed into a prime (14001265015147) 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, 53498334 + ... + 53759410.

It is an arithmetic number, because the mean of its divisors is an integer number (451671466950).

Almost surely, 214001265015144 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 14001265015144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453486942400).

14001265015144 is an abundant number, since it is smaller than the sum of its proper divisors (14905708869656).

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

14001265015144 is a wasteful number, since it uses less digits than its factorization.

14001265015144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266794 (or 266790 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

It can be divided in two parts, 140012 and 65015144, that added together give a palindrome (65155156).

The spelling of 14001265015144 in words is "fourteen trillion, one billion, two hundred sixty-five million, fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 872 1199 2398 4796 5591 9592 11182 22364 44728 61501 123002 246004 261077 492008 522154 609419 1044308 1218838 2088616 2437676 2871847 4875352 5743694 6703609 11487388 13407218 22974776 26814436 28457393 53628872 56914786 113829572 227659144 313031323 626062646 1252125292 1459681507 2504250584 2919363014 5838726028 11677452056 16056496577 32112993154 64225986308 128451972616 159105284263 318210568526 636421137052 1272842274104 1750158126893 3500316253786 7000632507572 14001265015144