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242950048791024 = 24359330232597809
BaseRepresentation
bin110111001111011000110111…
…010110110011100111110000
31011212012210112121211000102010
4313033120313112303213300
5223320443144442303044
62220413413413322520
7102113363456353521
oct6717306726634760
91155183477730363
10242950048791024
117045859a936503
12232b941b936440
13a57412576a843
1443dcbb8d66848
151d14a4d096bb9
hexdcf6375b39f0

242950048791024 has 80 divisors (see below), whose sum is σ = 638278176153600. Its totient is φ = 79608309040128.

The previous prime is 242950048791011. The next prime is 242950048791077. The reversal of 242950048791024 is 420197840059242.

It is a Cunningham number, because it is equal to 155868552-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92222232 + ... + 94820040.

It is an arithmetic number, because the mean of its divisors is an integer number (7978477201920).

Almost surely, 2242950048791024 is an apocalyptic number.

242950048791024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242950048791024 is an abundant number, since it is smaller than the sum of its proper divisors (395328127362576).

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

242950048791024 is a wasteful number, since it uses less digits than its factorization.

242950048791024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630902 (or 2630896 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 242950048791024 in words is "two hundred forty-two trillion, nine hundred fifty billion, forty-eight million, seven hundred ninety-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 33023 66046 99069 132092 198138 264184 396276 528368 792552 1585104 1948357 2597809 3896714 5195618 5845071 7793427 7793428 10391236 11690142 15586854 15586856 20782472 23380284 31173708 31173712 41564944 46760568 62347416 93521136 124694832 153270731 306541462 459812193 613082924 919624386 1226165848 1839248772 2452331696 3678497544 7356995088 85787446607 171574893214 257362339821 343149786428 514724679642 686299572856 1029449359284 1372599145712 2058898718568 4117797437136 5061459349813 10122918699626 15184378049439 20245837399252 30368756098878 40491674798504 60737512197756 80983349597008 121475024395512 242950048791024