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242910315630 = 2325101208312829
BaseRepresentation
bin1110001000111010010…
…1010100010001101110
3212012222211121120111200
43202032211110101232
512434440020100010
6303331431030330
723356354421013
oct3421645242156
9765884546450
10242910315630
11940215a4474
123b0b220b3a6
1319ba2314898
14ba84dcb70a
1564ba6d6cc0
hex388e95446e

242910315630 has 96 divisors (see below), whose sum is σ = 638175900960. Its totient is φ = 64098950400.

The previous prime is 242910315619. The next prime is 242910315653. The reversal of 242910315630 is 36513019242.

242910315630 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 1 + 0 + 3 + 15 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18928056 + ... + 18940884.

It is an arithmetic number, because the mean of its divisors is an integer number (6647665635).

Almost surely, 2242910315630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242910315630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319087950480).

242910315630 is an abundant number, since it is smaller than the sum of its proper divisors (395265585330).

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

242910315630 is a wasteful number, since it uses less digits than its factorization.

242910315630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15026 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 242910315630 in words is "two hundred forty-two billion, nine hundred ten million, three hundred fifteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 2083 3030 4166 4545 6249 9090 10415 12498 12829 18747 20830 25658 31245 37494 38487 62490 64145 76974 93735 115461 128290 187470 192435 210383 230922 384870 420766 577305 631149 1051915 1154610 1262298 1295729 1893447 2103830 2591458 3155745 3786894 3887187 6311490 6478645 7774374 9467235 11661561 12957290 18934470 19435935 23323122 26722807 38871870 53445614 58307805 80168421 116615610 133614035 160336842 240505263 267228070 400842105 481010526 801684210 1202526315 2405052630 2699003507 5398007014 8097010521 13495017535 16194021042 24291031563 26990035070 40485052605 48582063126 80970105210 121455157815 242910315630