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242195791320 = 23325796109441
BaseRepresentation
bin1110000110001111111…
…1100111110111011000
3212011011001002222102100
43201203333213313120
512432004110310240
6303132504203400
723332560154530
oct3414377476730
9764131088370
10242195791320
119379523480a
123ab32a69560
1319aba28b532
14ba181524c0
156477ae5e30
hex3863fe7dd8

242195791320 has 96 divisors (see below), whose sum is σ = 899584377120. Its totient is φ = 55359037440.

The previous prime is 242195791307. The next prime is 242195791339. The reversal of 242195791320 is 23197591242.

242195791320 is a `hidden beast` number, since 2 + 42 + 1 + 9 + 579 + 1 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48052201 + ... + 48057240.

It is an arithmetic number, because the mean of its divisors is an integer number (9370670595).

Almost surely, 2242195791320 is an apocalyptic number.

242195791320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242195791320 is an abundant number, since it is smaller than the sum of its proper divisors (657388585800).

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

242195791320 is a wasteful number, since it uses less digits than its factorization.

242195791320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96109465 (or 96109458 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 242195791320 in words is "two hundred forty-two billion, one hundred ninety-five million, seven hundred ninety-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 96109441 192218882 288328323 384437764 480547205 576656646 672766087 768875528 864984969 961094410 1153313292 1345532174 1441641615 1729969938 1922188820 2018298261 2306626584 2691064348 2883283230 3363830435 3459939876 3844377640 4036596522 4324924845 5382128696 5766566460 6054894783 6727660870 6919879752 8073193044 8649849690 10091491305 11533132920 12109789566 13455321740 16146386088 17299699380 20182982610 24219579132 26910643480 30274473915 34599398760 40365965220 48439158264 60548947830 80731930440 121097895660 242195791320