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242843167872 = 2732145192
BaseRepresentation
bin1110001000101010010…
…1001010110010000000
3212012211011021010002200
43202022211022302000
512434320322332442
6303321031513200
723354610603654
oct3421245126200
9765734233080
10242843167872
1193a97701358
123b093828800
1319b91434396
14ba7a10ca64
1564b487134c
hex388a94ac80

242843167872 has 72 divisors (see below), whose sum is σ = 698854645515. Its totient is φ = 80942147328.

The previous prime is 242843167871. The next prime is 242843167883. The reversal of 242843167872 is 278761348242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

242843167872 is a `hidden beast` number, since 242 + 8 + 4 + 316 + 7 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121421583936 + 121421583936 = 348456^2 + 348456^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=348456.

It is not an unprimeable number, because it can be changed into a prime (242843167871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16718629 + ... + 16733147.

Almost surely, 2242843167872 is an apocalyptic number.

It is an amenable number.

242843167872 is an abundant number, since it is smaller than the sum of its proper divisors (456011477643).

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

242843167872 is an frugal number, since it uses more digits than its factorization.

242843167872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29058 (or 14524 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 242843167872 in words is "two hundred forty-two billion, eight hundred forty-three million, one hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14519 29038 43557 58076 87114 116152 130671 174228 232304 261342 348456 464608 522684 696912 929216 1045368 1393824 1858432 2090736 2787648 4181472 5575296 8362944 16725888 210801361 421602722 632404083 843205444 1264808166 1686410888 1897212249 2529616332 3372821776 3794424498 5059232664 6745643552 7588848996 10118465328 13491287104 15177697992 20236930656 26982574208 30355395984 40473861312 60710791968 80947722624 121421583936 242843167872