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242811370340208 = 243589701702069
BaseRepresentation
bin110111001101010111101101…
…011110011111111101110000
31011211201112120212211210100000
4313031113231132133331300
5223311210141301341313
62220230000441030000
7102100354053105345
oct6715275536377560
91154645525753300
10242811370340208
11704047a652887a
1223296578785300
13a56402491a117
1443d61c10687cc
151d111333c0673
hexdcd5ed79ff70

242811370340208 has 120 divisors (see below), whose sum is σ = 712620554209200. Its totient is φ = 80027717451264.

The previous prime is 242811370340141. The next prime is 242811370340249. The reversal of 242811370340208 is 802043073118242.

242811370340208 is a `hidden beast` number, since 2 + 4 + 28 + 1 + 13 + 70 + 340 + 208 = 666.

It is a super-2 number, since 2×2428113703402082 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350505003 + ... + 351197066.

It is an arithmetic number, because the mean of its divisors is an integer number (5938504618410).

Almost surely, 2242811370340208 is an apocalyptic number.

It is an amenable number.

242811370340208 is an abundant number, since it is smaller than the sum of its proper divisors (469809183868992).

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

242811370340208 is an equidigital number, since it uses as much as digits as its factorization.

242811370340208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701702181 (or 701702163 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 242811370340208 in words is "two hundred forty-two trillion, eight hundred eleven billion, three hundred seventy million, three hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 324 356 432 486 534 648 712 801 972 1068 1296 1424 1602 1944 2136 2403 3204 3888 4272 4806 6408 7209 9612 12816 14418 19224 21627 28836 38448 43254 57672 86508 115344 173016 346032 701702069 1403404138 2105106207 2806808276 4210212414 5613616552 6315318621 8420424828 11227233104 12630637242 16840849656 18945955863 25261274484 33681699312 37891911726 50522548968 56837867589 62451484141 75783823452 101045097936 113675735178 124902968282 151567646904 170513602767 187354452423 227351470356 249805936564 303135293808 341027205534 374708904846 454702940712 499611873128 562063357269 682054411068 749417809692 909405881424 999223746256 1124126714538 1364108822136 1498835619384 1686190071807 2248253429076 2728217644272 2997671238768 3372380143614 4496506858152 5058570215421 6744760287228 8993013716304 10117140430842 13489520574456 15175710646263 20234280861684 26979041148912 30351421292526 40468561723368 60702842585052 80937123446736 121405685170104 242811370340208