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242860682240 = 2105114312157
BaseRepresentation
bin1110001000101110011…
…1111110110000000000
3212012212101012221021222
43202023213332300000
512434334313312430
6303322455134212
723355212511161
oct3421347766000
9765771187258
10242860682240
1193aa6584140
123b099674368
1319b94c57307
14ba7c58b768
1564b61809e5
hex388b9fec00

242860682240 has 88 divisors (see below), whose sum is σ = 635543094672. Its totient is φ = 88312954880.

The previous prime is 242860682213. The next prime is 242860682291. The reversal of 242860682240 is 42286068242.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 242860682191 and 242860682200.

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, 2099759 + ... + 2212398.

Almost surely, 2242860682240 is an apocalyptic number.

242860682240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242860682240 is an abundant number, since it is smaller than the sum of its proper divisors (392682412432).

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

242860682240 is a wasteful number, since it uses less digits than its factorization.

242860682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312193 (or 4312175 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 242860682240 in words is "two hundred forty-two billion, eight hundred sixty million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 4312157 8624314 17248628 21560785 34497256 43121570 47433727 68994512 86243140 94867454 137989024 172486280 189734908 237168635 275978048 344972560 379469816 474337270 551956096 689945120 758939632 948674540 1103912192 1379890240 1517879264 1897349080 2207824384 2759780480 3035758528 3794698160 4415648768 5519560960 6071517056 7589396320 11039121920 12143034112 15178792640 22078243840 24286068224 30357585280 48572136448 60715170560 121430341120 242860682240