Search a number
-
+
242117157918160 = 2457529781622063
BaseRepresentation
bin110111000011010001001011…
…001100010001010111010000
31011202021011201000200211000001
4313003101023030101113100
5223213321414411340120
62214535030431335344
7101666246610635050
oct6703211314212720
91152234630624001
10242117157918160
1170167345733158
12231a3b16381554
13a51371c532825
1443b0766679560
151ced052490e0a
hexdc344b3115d0

242117157918160 has 80 divisors (see below), whose sum is σ = 643461338267136. Its totient is φ = 82995924547584.

The previous prime is 242117157918071. The next prime is 242117157918187. The reversal of 242117157918160 is 61819751711242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37844712 + ... + 43777351.

Almost surely, 2242117157918160 is an apocalyptic number.

242117157918160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242117157918160 is an abundant number, since it is smaller than the sum of its proper divisors (401344180348976).

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

242117157918160 is a wasteful number, since it uses less digits than its factorization.

242117157918160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81627380 (or 81627374 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 55.

The spelling of 242117157918160 in words is "two hundred forty-two trillion, one hundred seventeen billion, one hundred fifty-seven million, nine hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 5297 10594 21188 26485 37079 42376 52970 74158 84752 105940 148316 185395 211880 296632 370790 423760 593264 741580 1483160 2966320 81622063 163244126 326488252 408110315 571354441 652976504 816220630 1142708882 1305953008 1632441260 2285417764 2856772205 3264882520 4570835528 5713544410 6529765040 9141671056 11427088820 22854177640 45708355280 432352067711 864704135422 1729408270844 2161760338555 3026464473977 3458816541688 4323520677110 6052928947954 6917633083376 8647041354220 12105857895908 15132322369885 17294082708440 24211715791816 30264644739770 34588165416880 48423431583632 60529289479540 121058578959080 242117157918160