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242515223524044 = 223247143330510357
BaseRepresentation
bin110111001001000011111001…
…110000000011001011001100
31011210200020011220100210010100
4313021003321300003023030
5223241332134210232134
62215441542231011100
7102040101213520062
oct6711037160031314
91153606156323110
10242515223524044
1170300146358629
12232490a9809a90
13a54211a187263
1443c5b29980032
151d0859e135999
hexdc90f9c032cc

242515223524044 has 36 divisors (see below), whose sum is σ = 626067669243744. Its totient is φ = 79118441716512.

The previous prime is 242515223524033. The next prime is 242515223524111. The reversal of 242515223524044 is 440425322515242.

242515223524044 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 1 + 5 + 2 + 235 + 2 + 404 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2425152235240442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71665253487 + ... + 71665256870.

It is an arithmetic number, because the mean of its divisors is an integer number (17390768590104).

Almost surely, 2242515223524044 is an apocalyptic number.

It is an amenable number.

242515223524044 is an abundant number, since it is smaller than the sum of its proper divisors (383552445719700).

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

242515223524044 is a wasteful number, since it uses less digits than its factorization.

242515223524044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143330510414 (or 143330510409 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 242515223524044 in words is "two hundred forty-two trillion, five hundred fifteen billion, two hundred twenty-three million, five hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 143330510357 286661020714 429991531071 573322041428 859983062142 1289974593213 1719966124284 2579949186426 5159898372852 6736533986779 13473067973558 20209601960337 26946135947116 40419203920674 60628805881011 80838407841348 121257611762022 242515223524044