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242514298413952 = 276178393659993
BaseRepresentation
bin110111001001000011000010…
…100111000010001110000000
31011210200010210102121022122121
4313021003002213002032000
5223241323240343221302
62215441310342414024
7102040036251310105
oct6711030247021600
91153603712538577
10242514298413952
11702aa811135734
1223248a8ba31314
13a54200060b536
1443c5a7cb68aac
151d08547ce8e37
hexdc90c29c2380

242514298413952 has 64 divisors (see below), whose sum is σ = 484493901746400. Its totient is φ = 120916297621504.

The previous prime is 242514298413853. The next prime is 242514298413953. The reversal of 242514298413952 is 259314892415242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2425142984139522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242514298413953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64430868 + ... + 68090860.

Almost surely, 2242514298413952 is an apocalyptic number.

It is an amenable number.

242514298413952 is a deficient number, since it is larger than the sum of its proper divisors (241979603332448).

242514298413952 is an equidigital number, since it uses as much as digits as its factorization.

242514298413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661463 (or 3661451 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 61.

The spelling of 242514298413952 in words is "two hundred forty-two trillion, five hundred fourteen billion, two hundred ninety-eight million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 617 839 1234 1678 2468 3356 4936 6712 9872 13424 19744 26848 39488 53696 78976 107392 517663 1035326 2070652 3659993 4141304 7319986 8282608 14639972 16565216 29279944 33130432 58559888 66260864 117119776 234239552 468479104 2258215681 3070734127 4516431362 6141468254 9032862724 12282936508 18065725448 24565873016 36131450896 49131746032 72262901792 98263492064 144525803584 196526984128 289051607168 393053968256 1894642956359 3789285912718 7578571825436 15157143650872 30314287301744 60628574603488 121257149206976 242514298413952