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14387292078336 = 2834693831601
BaseRepresentation
bin1101000101011100110101…
…1011110000000100000000
31212221102010010022000110000
43101113031123300010000
53341210133233001321
650333233012240000
73013306336611222
oct321271533600400
955842103260400
1014387292078336
114647686336391
12174442b010000
1380493c8767c8
1437a4c49b6412
1519e3a6d3b826
hexd15cd6f0100

14387292078336 has 90 divisors (see below), whose sum is σ = 42900301783262. Its totient is φ = 4795764019200.

The previous prime is 14387292078329. The next prime is 14387292078337. The reversal of 14387292078336 is 63387029278341.

14387292078336 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 7 + 292 + 0 + 7 + 8 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8306846265600 + 6080445812736 = 2882160^2 + 2465856^2 .

It is not an unprimeable number, because it can be changed into a prime (14387292078337) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 346895065 + ... + 346936536.

Almost surely, 214387292078336 is an apocalyptic number.

14387292078336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14387292078336 is an abundant number, since it is smaller than the sum of its proper divisors (28513009704926).

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

14387292078336 is an frugal number, since it uses more digits than its factorization.

14387292078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693831629 (or 693831606 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 14387292078336 in words is "fourteen trillion, three hundred eighty-seven billion, two hundred ninety-two million, seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 693831601 1387663202 2081494803 2775326404 4162989606 5550652808 6244484409 8325979212 11101305616 12488968818 16651958424 18733453227 22202611232 24977937636 33303916848 37466906454 44405222464 49955875272 56200359681 66607833696 74933812908 88810444928 99911750544 112400719362 133215667392 149867625816 177620889856 199823501088 224801438724 266431334784 299735251632 399647002176 449602877448 532862669568 599470503264 799294004352 899205754896 1198941006528 1598588008704 1798411509792 2397882013056 3596823019584 4795764026112 7193646039168 14387292078336