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2135252520144 = 2435549190463
BaseRepresentation
bin11111000100100110111…
…101111100110011010000
321120010110102022202200000
4133010212331330303100
5234440444121121034
64312531011530000
7310160355646152
oct37044675746320
97503412282600
102135252520144
11753612422057
122a59ab8b9900
131264796b0293
14754bd790ad2
153a822028599
hex1f126f7ccd0

2135252520144 has 60 divisors (see below), whose sum is σ = 6197065195776. Its totient is φ = 711750838752.

The previous prime is 2135252520131. The next prime is 2135252520151. The reversal of 2135252520144 is 4410252525312.

2135252520144 is a `hidden beast` number, since 21 + 3 + 52 + 52 + 520 + 14 + 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 = 2135252520099 and 2135252520108.

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 11 ways as a sum of consecutive naturals, for example, 274591344 + ... + 274599119.

Almost surely, 22135252520144 is an apocalyptic number.

2135252520144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2135252520144 is an abundant number, since it is smaller than the sum of its proper divisors (4061812675632).

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

2135252520144 is an equidigital number, since it uses as much as digits as its factorization.

2135252520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549190486 (or 549190468 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2135252520144 in words is "two trillion, one hundred thirty-five billion, two hundred fifty-two million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 549190463 1098380926 1647571389 2196761852 3295142778 4393523704 4942714167 6590285556 8787047408 9885428334 13180571112 14828142501 19770856668 26361142224 29656285002 39541713336 44484427503 59312570004 79083426672 88968855006 118625140008 133453282509 177937710012 237250280016 266906565018 355875420024 533813130036 711750840048 1067626260072 2135252520144