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14130562156096 = 2661277032
BaseRepresentation
bin1100110110100000011100…
…1000110100011001000000
31212000212110011122200120111
43031220013020310121000
53323003342402443341
650015253551121104
72655620334356011
oct315500710643100
955025404580514
1014130562156096
114558812a54a31
121702720813194
137b6677434009
1436bccc46d008
1519787d2a6681
hexcda07234640

14130562156096 has 63 divisors (see below), whose sum is σ = 28511248905633. Its totient is φ = 6948554622720.

The previous prime is 14130562156057. The next prime is 14130562156099. The reversal of 14130562156096 is 69065126503141.

The square root of 14130562156096 is 3759064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 459499602496 + 13671062553600 = 677864^2 + 3697440^2 .

It is a super-2 number, since 2×141305621560962 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14130562156099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1834419381 + ... + 1834427083.

Almost surely, 214130562156096 is an apocalyptic number.

14130562156096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14130562156096 is the 3759064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130562156096

14130562156096 is an abundant number, since it is smaller than the sum of its proper divisors (14380686749537).

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

14130562156096 is an frugal number, since it uses more digits than its factorization.

14130562156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 14130562156096 by its sum of digits (49), we get a square (692397545648704 = 263134482).

The spelling of 14130562156096 in words is "fourteen trillion, one hundred thirty billion, five hundred sixty-two million, one hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3721 3904 7442 7703 14884 15406 29768 30812 59536 61624 119072 123248 238144 246496 469883 492992 939766 1879532 3759064 7518128 15036256 28662863 30072512 57325726 59336209 114651452 118672418 229302904 237344836 458605808 474689672 917211616 949379344 1834423232 1898758688 3619508749 3797517376 7239017498 14478034996 28956069992 57912139984 115824279968 220790033689 231648559936 441580067378 883160134756 1766320269512 3532640539024 7065281078048 14130562156096