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242150948064 = 2533280267301
BaseRepresentation
bin1110000110000101010…
…0100011110011100000
3212011000220201201001000
43201201110203303200
512431411120314224
6303124223112000
723331504045264
oct3414124436340
9764026651030
10242150948064
1193771996373
123ab1ba42600
1319ab0bba36c
14ba121dc0a4
156473bd90c9
hex3861523ce0

242150948064 has 48 divisors (see below), whose sum is σ = 706273601040. Its totient is φ = 80716982400.

The previous prime is 242150948033. The next prime is 242150948087. The reversal of 242150948064 is 460849051242.

It is a happy number.

242150948064 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 509 + 4 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140132787 + ... + 140134514.

It is an arithmetic number, because the mean of its divisors is an integer number (14714033355).

Almost surely, 2242150948064 is an apocalyptic number.

242150948064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242150948064 is an abundant number, since it is smaller than the sum of its proper divisors (464122652976).

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

242150948064 is a wasteful number, since it uses less digits than its factorization.

242150948064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280267320 (or 280267306 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 242150948064 in words is "two hundred forty-two billion, one hundred fifty million, nine hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 280267301 560534602 840801903 1121069204 1681603806 2242138408 2522405709 3363207612 4484276816 5044811418 6726415224 7567217127 8968553632 10089622836 13452830448 15134434254 20179245672 26905660896 30268868508 40358491344 60537737016 80716982688 121075474032 242150948064