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14042303244144 = 2432797714258809
BaseRepresentation
bin1100110001010111101001…
…1111110010011101110000
31211201102122020221102020200
43030111322133302131300
53320032114112303034
645510540044235200
72646344236113630
oct314257237623560
954642566842220
1014042303244144
11452434211008a
1216a95aab3bb00
137ab250246166
143679188b06c0
15195414be7a99
hexcc57a7f2770

14042303244144 has 120 divisors (see below), whose sum is σ = 44959054564320. Its totient is φ = 4007979823104.

The previous prime is 14042303244139. The next prime is 14042303244169. The reversal of 14042303244144 is 44144230324041.

14042303244144 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 230 + 3 + 2 + 4 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14042303244099 and 14042303244108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6144589 + ... + 8114220.

It is an arithmetic number, because the mean of its divisors is an integer number (374658788036).

Almost surely, 214042303244144 is an apocalyptic number.

14042303244144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14042303244144 is an abundant number, since it is smaller than the sum of its proper divisors (30916751320176).

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

14042303244144 is a wasteful number, since it uses less digits than its factorization.

14042303244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259807 (or 14259798 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14042303244144 its reverse (44144230324041), we get a palindrome (58186533568185).

The spelling of 14042303244144 in words is "fourteen trillion, forty-two billion, three hundred three million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 977 1008 1954 2931 3908 5862 6839 7816 8793 11724 13678 15632 17586 20517 23448 27356 35172 41034 46896 54712 61551 70344 82068 109424 123102 140688 164136 246204 328272 492408 984816 14258809 28517618 42776427 57035236 85552854 99811663 114070472 128329281 171105708 199623326 228140944 256658562 299434989 342211416 399246652 513317124 598869978 684422832 798493304 898304967 1026634248 1197739956 1596986608 1796609934 2053268496 2395479912 3593219868 4790959824 7186439736 13930856393 14372879472 27861712786 41792569179 55723425572 83585138358 97515994751 111446851144 125377707537 167170276716 195031989502 222893702288 250755415074 292547984253 334340553432 390063979004 501510830148 585095968506 668681106864 780127958008 877643952759 1003021660296 1170191937012 1560255916016 1755287905518 2006043320592 2340383874024 3510575811036 4680767748048 7021151622072 14042303244144