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14431122123984 = 2433157212773091
BaseRepresentation
bin1101001000000000000111…
…1010000110110011010000
31220002121020201021000212000
43102000001322012303100
53342414414230431414
650405322130234000
73016420442056656
oct322000172066320
956077221230760
1014431122123984
114664228247405
121750a21725900
13808b06283167
1437c681ad6dd6
151a05bebc6b09
hexd2001e86cd0

14431122123984 has 80 divisors (see below), whose sum is σ = 41686504184640. Its totient is φ = 4779734693760.

The previous prime is 14431122123959. The next prime is 14431122123997. The reversal of 14431122123984 is 48932122113441.

14431122123984 is a `hidden beast` number, since 1 + 4 + 4 + 31 + 1 + 221 + 2 + 398 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106318722 + ... + 106454369.

It is an arithmetic number, because the mean of its divisors is an integer number (521081302308).

Almost surely, 214431122123984 is an apocalyptic number.

It is an amenable number.

14431122123984 is an abundant number, since it is smaller than the sum of its proper divisors (27255382060656).

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

14431122123984 is a wasteful number, since it uses less digits than its factorization.

14431122123984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212773265 (or 212773253 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 14431122123984 in words is "fourteen trillion, four hundred thirty-one billion, one hundred twenty-two million, one hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3768 4239 5652 7536 8478 11304 16956 22608 33912 67824 212773091 425546182 638319273 851092364 1276638546 1702184728 1914957819 2553277092 3404369456 3829915638 5106554184 5744873457 7659831276 10213108368 11489746914 15319662552 22979493828 30639325104 33405375287 45958987656 66810750574 91917975312 100216125861 133621501148 200432251722 267243002296 300648377583 400864503444 534486004592 601296755166 801729006888 901945132749 1202593510332 1603458013776 1803890265498 2405187020664 3607780530996 4810374041328 7215561061992 14431122123984