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242194188488 = 237199710921529
BaseRepresentation
bin1110000110001111100…
…1100000100011001000
3212011010221002112202012
43201203321200203020
512432003203012423
6303132405555052
723332540430540
oct3414371404310
9764127075665
10242194188488
119379433a55a
123ab32415a88
1319ab9b49b05
14ba17c56320
1564778cb078
hex3863e608c8

242194188488 has 128 divisors (see below), whose sum is σ = 557024160000. Its totient is φ = 96423395328.

The previous prime is 242194188437. The next prime is 242194188503. The reversal of 242194188488 is 884881491242.

It is a super-2 number, since 2×2421941884882 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11238908 + ... + 11260436.

It is an arithmetic number, because the mean of its divisors is an integer number (4351751250).

Almost surely, 2242194188488 is an apocalyptic number.

242194188488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242194188488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278512080000).

242194188488 is an abundant number, since it is smaller than the sum of its proper divisors (314829971512).

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

242194188488 is a wasteful number, since it uses less digits than its factorization.

242194188488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21767 (or 21763 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 59.

The spelling of 242194188488 in words is "two hundred forty-two billion, one hundred ninety-four million, one hundred eighty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 97 109 133 152 194 218 266 388 436 532 679 763 776 872 1064 1358 1526 1843 2071 2716 3052 3686 4142 5432 6104 7372 8284 10573 12901 14497 14744 16568 21146 21529 25802 28994 42292 43058 51604 57988 74011 84584 86116 103208 115976 148022 150703 172232 200887 296044 301406 401774 409051 592088 602812 803548 818102 1205624 1406209 1607096 1636204 2088313 2346661 2812418 2863357 3272408 4176626 4693322 5624836 5726714 8353252 9386644 11249672 11453428 14618191 16426627 16706504 18773288 22906856 29236382 32853254 39677947 44586559 58472764 65706508 79355894 89173118 116945528 131413016 158711788 178346236 227626117 277745629 312105913 317423576 356692472 455252234 555491258 624211826 910504468 1110982516 1248423652 1593382819 1821008936 2221965032 2496847304 3186765638 4324896223 6373531276 8649792446 12747062552 17299584892 30274273561 34599169784 60548547122 121097094244 242194188488