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242320431320 = 23511550728253
BaseRepresentation
bin1110000110101101101…
…1000101100011011000
3212011110201122100100122
43201223123011203120
512432233012300240
6303153115452412
723335632452462
oct3415333054330
9764421570318
10242320431320
1193849625680
123ab68757108
1319b0a04b406
14ba2a919132
156483a164b5
hex386b6c58d8

242320431320 has 32 divisors (see below), whose sum is σ = 594786514320. Its totient is φ = 88116520320.

The previous prime is 242320431257. The next prime is 242320431361. The reversal of 242320431320 is 23134023242.

242320431320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423204313202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242320431320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275363687 + ... + 275364566.

Almost surely, 2242320431320 is an apocalyptic number.

242320431320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242320431320 is an abundant number, since it is smaller than the sum of its proper divisors (352466083000).

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

242320431320 is a wasteful number, since it uses less digits than its factorization.

242320431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550728275 (or 550728271 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 242320431320 its reverse (23134023242), we get a palindrome (265454454562).

The spelling of 242320431320 in words is "two hundred forty-two billion, three hundred twenty million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 550728253 1101456506 2202913012 2753641265 4405826024 5507282530 6058010783 11014565060 12116021566 22029130120 24232043132 30290053915 48464086264 60580107830 121160215660 242320431320