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14132555136 = 27337584183
BaseRepresentation
bin11010010100101110…
…11010110110000000
31100110220220012001000
431022113122312000
5212420413231021
610254205412000
71010134510440
oct151227326600
940426805030
1014132555136
115aa2505937
1228a4b6a000
131442c1067b
14980d40120
1557aab8b26
hex34a5dad80

14132555136 has 128 divisors (see below), whose sum is σ = 47669414400. Its totient is φ = 4037865984.

The previous prime is 14132555117. The next prime is 14132555197. The reversal of 14132555136 is 63155523141.

14132555136 is a `hidden beast` number, since 1 + 4 + 132 + 5 + 5 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×141325551362 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14132555136.

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, 267900 + ... + 316283.

It is an arithmetic number, because the mean of its divisors is an integer number (372417300).

Almost surely, 214132555136 is an apocalyptic number.

14132555136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14132555136 is an abundant number, since it is smaller than the sum of its proper divisors (33536859264).

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

14132555136 is an equidigital number, since it uses as much as digits as its factorization.

14132555136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584213 (or 584195 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 14132555136 in words is "fourteen billion, one hundred thirty-two million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 584183 1168366 1752549 2336732 3505098 4089281 4673464 5257647 7010196 8178562 9346928 10515294 12267843 14020392 15772941 16357124 18693856 21030588 24535686 28040784 31545882 32714248 36803529 37387712 42061176 49071372 56081568 63091764 65428496 73607058 74775424 84122352 98142744 110410587 112163136 126183528 130856992 147214116 168244704 196285488 220821174 224326272 252367056 261713984 294428232 336489408 392570976 441642348 504734112 523427968 588856464 672978816 785141952 883284696 1009468224 1177712928 1570283904 1766569392 2018936448 2355425856 3533138784 4710851712 7066277568 14132555136