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14501400134016 = 27355696781121
BaseRepresentation
bin1101001100000101111011…
…0011011100000110000000
31220100022122111201211210110
43103001132303130012000
53400042331413242031
650501503512031320
73024456133231335
oct323013663340600
956308574654713
1014501400134016
114691011363534
121762575692540
13812626199493
14381c2b5da98c
151a2334900c46
hexd305ecdc180

14501400134016 has 64 divisors (see below), whose sum is σ = 38526266530800. Its totient is φ = 4832931348480.

The previous prime is 14501400133967. The next prime is 14501400134071. The reversal of 14501400134016 is 61043100410541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252065 + ... + 5529056.

Almost surely, 214501400134016 is an apocalyptic number.

14501400134016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14501400134016 is an abundant number, since it is smaller than the sum of its proper divisors (24024866396784).

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

14501400134016 is an equidigital number, since it uses as much as digits as its factorization.

14501400134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786707 (or 6786695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 14501400134016 its reverse (61043100410541), we get a palindrome (75544500544557).

The spelling of 14501400134016 in words is "fourteen trillion, five hundred one billion, four hundred million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5569 11138 16707 22276 33414 44552 66828 89104 133656 178208 267312 356416 534624 712832 1069248 2138496 6781121 13562242 20343363 27124484 40686726 54248968 81373452 108497936 162746904 216995872 325493808 433991744 650987616 867983488 1301975232 2603950464 37764062849 75528125698 113292188547 151056251396 226584377094 302112502792 453168754188 604225005584 906337508376 1208450011168 1812675016752 2416900022336 3625350033504 4833800044672 7250700067008 14501400134016