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242373663400 = 235211195798413
BaseRepresentation
bin1110000110111010011…
…0001001101010101000
3212011121102210211001011
43201232212021222220
512432340124212100
6303202300433304
723340150101161
oct3415646115250
9764542724034
10242373663400
1193876683730
123ab82548834
1319b1809899b
14ba33a14768
15648852dbba
hex386e989aa8

242373663400 has 96 divisors (see below), whose sum is σ = 647103002400. Its totient is φ = 83497132800.

The previous prime is 242373663383. The next prime is 242373663443. The reversal of 242373663400 is 4366373242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2857407 + ... + 2941006.

It is an arithmetic number, because the mean of its divisors is an integer number (6740656275).

Almost surely, 2242373663400 is an apocalyptic number.

242373663400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242373663400 is an abundant number, since it is smaller than the sum of its proper divisors (404729339000).

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

242373663400 is a wasteful number, since it uses less digits than its factorization.

242373663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798459 (or 5798450 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The spelling of 242373663400 in words is "two hundred forty-two billion, three hundred seventy-three million, six hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 41800 5798413 11596826 23193652 28992065 46387304 57984130 63782543 110169847 115968260 127565086 144960325 220339694 231936520 255130172 289920650 318912715 440679388 510260344 550849235 579841300 637825430 881358776 1101698470 1159682600 1211868317 1275650860 1594563575 2203396940 2423736634 2551301720 2754246175 3189127150 4406793880 4847473268 5508492350 6059341585 6378254300 9694946536 11016984700 12118683170 12756508600 22033969400 24237366340 30296707925 48474732680 60593415850 121186831700 242373663400