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242808316410 = 2351137160112421
BaseRepresentation
bin1110001000100010000…
…0001110000111111010
3212012201201200110212210
43202020200032013322
512434232412111120
6303313344515550
723354005431132
oct3421040160772
9765651613783
10242808316410
1193a79a679a0
123b08401bbb6
1319b8715110a
14ba75639ac2
1564b1789ce0
hex388880e1fa

242808316410 has 128 divisors (see below), whose sum is σ = 653358244608. Its totient is φ = 57231360000.

The previous prime is 242808316381. The next prime is 242808316411. The reversal of 242808316410 is 14613808242.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242808316411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19542000 + ... + 19554420.

It is an arithmetic number, because the mean of its divisors is an integer number (5104361286).

Almost surely, 2242808316410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242808316410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326679122304).

242808316410 is an abundant number, since it is smaller than the sum of its proper divisors (410549928198).

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

242808316410 is a wasteful number, since it uses less digits than its factorization.

242808316410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14080.

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 242808316410 in words is "two hundred forty-two billion, eight hundred eight million, three hundred sixteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 1601 2035 2442 3202 4070 4803 6105 8005 9606 12210 12421 16010 17611 24015 24842 35222 37263 48030 52833 59237 62105 74526 88055 105666 118474 124210 136631 176110 177711 186315 264165 273262 296185 355422 372630 409893 459577 528330 592370 651607 683155 819786 888555 919154 1303214 1366310 1378731 1777110 1954821 2049465 2297885 2757462 3258035 3909642 4098930 4595770 5055347 6516070 6893655 9774105 10110694 13787310 15166041 19548210 19886021 25276735 30332082 39772042 50553470 59658063 75830205 99430105 119316126 151660410 198860210 218746231 298290315 437492462 596580630 656238693 735782777 1093731155 1312477386 1471565554 2187462310 2207348331 3281193465 3678913885 4414696662 6562386930 7357827770 8093610547 11036741655 16187221094 22073483310 24280831641 40468052735 48561663282 80936105470 121404158205 242808316410