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242177356134 = 23274353843371
BaseRepresentation
bin1110000110001011100…
…1010011000101100110
3212011002202102101002200
43201202321103011212
512431434400344014
6303131005115330
723332244363610
oct3414271230546
9764082371080
10242177356134
119378589311a
123ab28858b46
1319ab650543c
14ba15913db0
1564761a3a09
hex3862e53166

242177356134 has 96 divisors (see below), whose sum is σ = 625201784064. Its totient is φ = 66309122880.

The previous prime is 242177356129. The next prime is 242177356153. The reversal of 242177356134 is 431653771242.

It is a happy number.

242177356134 is a `hidden beast` number, since 2 + 4 + 2 + 17 + 73 + 561 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242177356134.

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, 134532 + ... + 708839.

It is an arithmetic number, because the mean of its divisors is an integer number (6512518584).

Almost surely, 2242177356134 is an apocalyptic number.

242177356134 is an abundant number, since it is smaller than the sum of its proper divisors (383024427930).

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

242177356134 is a wasteful number, since it uses less digits than its factorization.

242177356134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843482 (or 843479 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 242177356134 in words is "two hundred forty-two billion, one hundred seventy-seven million, three hundred fifty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 53 63 86 106 126 129 159 258 301 318 371 387 477 602 742 774 903 954 1113 1806 2226 2279 2709 3339 4558 5418 6678 6837 13674 15953 20511 31906 41022 47859 95718 143577 287154 843371 1686742 2530113 5060226 5903597 7590339 11807194 15180678 17710791 35421582 36264953 44698663 53132373 72529906 89397326 106264746 108794859 134095989 217589718 253854671 268191978 312890641 326384577 402287967 507709342 625781282 652769154 761564013 804575934 938671923 1523128026 1877343846 1922042509 2284692039 2816015769 3844085018 4569384078 5632031538 5766127527 11532255054 13454297563 17298382581 26908595126 34596765162 40362892689 80725785378 121088678067 242177356134