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242308595566992 = 243293146571175479
BaseRepresentation
bin110111000110000011011101…
…110000111100100110010000
31011202221110211122101222211010
4313012003131300330212100
5223224441000431120432
62215203010532450520
7102016134612046113
oct6706033560744620
91152843748358733
10242308595566992
1170230553253179
1223215042479a40
13a5287aa965606
1443b9b2750a57a
151d03008d873cc
hexdc60ddc3c990

242308595566992 has 80 divisors (see below), whose sum is σ = 628143654983040. Its totient is φ = 80488307613696.

The previous prime is 242308595566981. The next prime is 242308595566993. The reversal of 242308595566992 is 299665595803242.

It is a super-2 number, since 2×2423085955669922 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242308595566993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205548309 + ... + 206723787.

It is an arithmetic number, because the mean of its divisors is an integer number (7851795687288).

Almost surely, 2242308595566992 is an apocalyptic number.

It is an amenable number.

242308595566992 is an abundant number, since it is smaller than the sum of its proper divisors (385835059416048).

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

242308595566992 is a wasteful number, since it uses less digits than its factorization.

242308595566992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190440 (or 1190434 counting only the distinct ones).

The product of its (nonzero) digits is 2519424000, while the sum is 75.

The spelling of 242308595566992 in words is "two hundred forty-two trillion, three hundred eight billion, five hundred ninety-five million, five hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 293 586 879 1172 1758 2344 3516 4688 7032 14064 14657 29314 43971 58628 87942 117256 175884 234512 351768 703536 1175479 2350958 3526437 4294501 4701916 7052874 8589002 9403832 12883503 14105748 17178004 18807664 25767006 28211496 34356008 51534012 56422992 68712016 103068024 206136048 344415347 688830694 1033246041 1377661388 2066492082 2755322776 4132984164 5510645552 8265968328 16531936656 17228995703 34457991406 51686987109 68915982812 103373974218 137831965624 206747948436 275663931248 413495896872 826991793744 5048095740979 10096191481958 15144287222937 20192382963916 30288574445874 40384765927832 60577148891748 80769531855664 121154297783496 242308595566992