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242430234012 = 2235255197771
BaseRepresentation
bin1110000111000111110…
…1111100110110011100
3212011202101020220100000
43201301331330312130
512432444114442022
6303212041134300
723341434663111
oct3416175746634
9764671226300
10242430234012
11938a5601aaa
123ab9948a390
1319b26a14a15
14ba3b33c908
15648d4a56ac
hex3871f7cd9c

242430234012 has 72 divisors (see below), whose sum is σ = 635762038912. Its totient is φ = 80777574000.

The previous prime is 242430233993. The next prime is 242430234023. The reversal of 242430234012 is 210432034242.

242430234012 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 302 + 340 + 12 = 666.

It is a super-2 number, since 2×2424302340122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2430687 + ... + 2528457.

Almost surely, 2242430234012 is an apocalyptic number.

It is an amenable number.

242430234012 is an abundant number, since it is smaller than the sum of its proper divisors (393331804900).

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

242430234012 is a wasteful number, since it uses less digits than its factorization.

242430234012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100341 (or 100327 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242430234012 its reverse (210432034242), we get a palindrome (452862268254).

The spelling of 242430234012 in words is "two hundred forty-two billion, four hundred thirty million, two hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2551 5102 7653 10204 15306 22959 30612 45918 68877 91836 97771 137754 195542 206631 275508 293313 391084 413262 586626 619893 826524 879939 1173252 1239786 1759878 2479572 2639817 3519756 5279634 7919451 10559268 15838902 23758353 31677804 47516706 95033412 249413821 498827642 748241463 997655284 1496482926 2244724389 2992965852 4489448778 6734173167 8978897556 13468346334 20202519501 26936692668 40405039002 60607558503 80810078004 121215117006 242430234012