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242356153896 = 23332813992951
BaseRepresentation
bin1110000110110110001…
…1010110111000101000
3212011120012212020112000
43201231203112320220
512432321133411041
6303200433251000
723336545214103
oct3415543267050
9764505766460
10242356153896
119386780456a
123ab78703a60
1319b1457802c
14ba3157773a
156486c20bb6
hex386d8d6e28

242356153896 has 64 divisors (see below), whose sum is σ = 675607478400. Its totient is φ = 80497872000.

The previous prime is 242356153891. The next prime is 242356153903. The reversal of 242356153896 is 698351653242.

It is a happy number.

242356153896 is a `hidden beast` number, since 2 + 4 + 23 + 561 + 53 + 8 + 9 + 6 = 666.

242356153896 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242356153891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935780 + ... + 2057171.

It is an arithmetic number, because the mean of its divisors is an integer number (10556366850).

Almost surely, 2242356153896 is an apocalyptic number.

It is an amenable number.

242356153896 is an abundant number, since it is smaller than the sum of its proper divisors (433251324504).

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

242356153896 is a wasteful number, since it uses less digits than its factorization.

242356153896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993247 (or 3993237 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 242356153896 in words is "two hundred forty-two billion, three hundred fifty-six million, one hundred fifty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 281 562 843 1124 1686 2248 2529 3372 5058 6744 7587 10116 15174 20232 30348 60696 3992951 7985902 11978853 15971804 23957706 31943608 35936559 47915412 71873118 95830824 107809677 143746236 215619354 287492472 431238708 862477416 1122019231 2244038462 3366057693 4488076924 6732115386 8976153848 10098173079 13464230772 20196346158 26928461544 30294519237 40392692316 60589038474 80785384632 121178076948 242356153896