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242141345334 = 232717939727043
BaseRepresentation
bin1110000110000010111…
…1111011011000110110
3212011000020122211120100
43201200233323120312
512431401141022314
6303123241214530
723331326322060
oct3414057733066
9764006584510
10242141345334
1193767527729
123ab18791446
1319aabc07585
14ba10c1c730
156472e3dc09
hex3860bfb636

242141345334 has 96 divisors (see below), whose sum is σ = 604478833920. Its totient is φ = 68620913856.

The previous prime is 242141345287. The next prime is 242141345357. The reversal of 242141345334 is 433543141242.

242141345334 is a `hidden beast` number, since 242 + 1 + 41 + 3 + 45 + 334 = 666.

It is a super-2 number, since 2×2421413453342 (a number of 24 digits) contains 22 as substring.

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, 8940417 + ... + 8967459.

It is an arithmetic number, because the mean of its divisors is an integer number (6296654520).

Almost surely, 2242141345334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242141345334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302239416960).

242141345334 is an abundant number, since it is smaller than the sum of its proper divisors (362337488586).

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

242141345334 is a wasteful number, since it uses less digits than its factorization.

242141345334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27634 (or 27631 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 242141345334 its reverse (433543141242), we get a palindrome (675684486576).

The spelling of 242141345334 in words is "two hundred forty-two billion, one hundred forty-one million, three hundred forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 397 537 794 1074 1191 1253 1611 2382 2506 2779 3222 3573 3759 5558 7146 7518 8337 11277 16674 22554 25011 27043 50022 54086 71063 81129 142126 162258 189301 213189 243387 378602 426378 486774 497441 567903 639567 994882 1135806 1279134 1492323 1703709 2984646 3407418 4476969 4840697 8953938 9681394 10736071 14522091 21472142 29044182 32208213 33884879 43566273 64416426 67769758 75152497 87132546 96624639 101654637 150304994 193249278 203309274 225457491 304963911 450914982 609927822 676372473 1352744946 1921756709 3843513418 5765270127 11530540254 13452296963 17295810381 26904593926 34591620762 40356890889 80713781778 121070672667 242141345334