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242132444022420 = 223257192168606367
BaseRepresentation
bin110111000011011111011010…
…010100001000011010010100
31011202022122011100012100221200
4313003133122110020122110
5223214044221132204140
62214550035325512500
7102000330453450510
oct6703373224103224
91152278140170850
10242132444022420
117017287a2a8576
12231a6a81712730
13a514cb7422833
1443b13b6897140
151ced64946c030
hexdc37da508694

242132444022420 has 72 divisors (see below), whose sum is σ = 839392472615424. Its totient is φ = 55344558633408.

The previous prime is 242132444022419. The next prime is 242132444022461. The reversal of 242132444022420 is 24220444231242.

242132444022420 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 3 + 2 + 4 + 4 + 402 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96084301924 + ... + 96084304443.

Almost surely, 2242132444022420 is an apocalyptic number.

242132444022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242132444022420 is an abundant number, since it is smaller than the sum of its proper divisors (597260028593004).

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

242132444022420 is a wasteful number, since it uses less digits than its factorization.

242132444022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192168606389 (or 192168606384 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 242132444022420 its reverse (24220444231242), we get a palindrome (266352888253662).

The spelling of 242132444022420 in words is "two hundred forty-two trillion, one hundred thirty-two billion, four hundred forty-four million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 192168606367 384337212734 576505819101 768674425468 960843031835 1153011638202 1345180244569 1729517457303 1921686063670 2306023276404 2690360489138 2882529095505 3459034914606 3843372127340 4035540733707 5380720978276 5765058191010 6725901222845 6918069829212 8071081467414 8647587286515 11530116382020 12106622201121 13451802445690 16142162934828 17295174573030 20177703668535 24213244402242 26903604891380 34590349146060 40355407337070 48426488804484 60533111005605 80710814674140 121066222011210 242132444022420