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13114334032320 = 263513660764617
BaseRepresentation
bin1011111011010110101100…
…1110001011000111000000
31201102201101111011011022010
42332311223032023013000
53204331124003013240
643520350351412520
72522323265006523
oct276655316130700
951381344134263
1013114334032320
1141a68377424a4
12157978bb24140
137418a405bc91
14334a46a70bba
1517b201ed7280
hexbed6b38b1c0

13114334032320 has 56 divisors (see below), whose sum is σ = 41638010555664. Its totient is φ = 3497155741696.

The previous prime is 13114334032291. The next prime is 13114334032409. The reversal of 13114334032320 is 2323043341131.

It is a super-2 number, since 2×131143340323202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6830381349 + ... + 6830383268.

Almost surely, 213114334032320 is an apocalyptic number.

13114334032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114334032320 is an abundant number, since it is smaller than the sum of its proper divisors (28523676523344).

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

13114334032320 is a wasteful number, since it uses less digits than its factorization.

13114334032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660764637 (or 13660764627 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13114334032320 its reverse (2323043341131), we get a palindrome (15437377373451).

The spelling of 13114334032320 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13660764617 27321529234 40982293851 54643058468 68303823085 81964587702 109286116936 136607646170 163929175404 204911469255 218572233872 273215292340 327858350808 409822938510 437144467744 546430584680 655716701616 819645877020 874288935488 1092861169360 1311433403232 1639291754040 2185722338720 2622866806464 3278583508080 4371444677440 6557167016160 13114334032320