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242933994880 = 2753112244657
BaseRepresentation
bin1110001000111111111…
…1101001010110000000
3212020001111011121022221
43202033333221112000
512440012100314010
6303334034340424
723360062612513
oct3421777512600
9766044147287
10242933994880
11940339a7aa5
123b0ba12a714
1319ba71b5885
14ba881d2d7a
1564bc812dda
hex388ffe9580

242933994880 has 64 divisors (see below), whose sum is σ = 599498455680. Its totient is φ = 94038958080.

The previous prime is 242933994811. The next prime is 242933994937. The reversal of 242933994880 is 88499339242.

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

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, 6102489 + ... + 6142168.

It is an arithmetic number, because the mean of its divisors is an integer number (9367163370).

Almost surely, 2242933994880 is an apocalyptic number.

242933994880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242933994880 is an abundant number, since it is smaller than the sum of its proper divisors (356564460800).

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

242933994880 is a wasteful number, since it uses less digits than its factorization.

242933994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12244707 (or 12244695 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 242933994880 in words is "two hundred forty-two billion, nine hundred thirty-three million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 12244657 24489314 48978628 61223285 97957256 122446570 195914512 244893140 379584367 391829024 489786280 759168734 783658048 979572560 1518337468 1567316096 1897921835 1959145120 3036674936 3795843670 3918290240 6073349872 7591687340 7836580480 12146699744 15183374680 24293399488 30366749360 48586798976 60733498720 121466997440 242933994880