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142436168118 = 23343281419521
BaseRepresentation
bin1000010010100111011…
…0110111000110110110
3111121122121210001011000
42010221312313012312
54313202124334433
6145233445224130
713201462311156
oct2045166670666
9447577701130
10142436168118
115545255a322
1223731702046
131057c5022aa
146c72dc4766
153a89a3e113
hex2129db71b6

142436168118 has 128 divisors (see below), whose sum is σ = 326439590400. Its totient is φ = 46010764800.

The previous prime is 142436168101. The next prime is 142436168167. The reversal of 142436168118 is 811861634241.

142436168118 is a `hidden beast` number, since 1 + 4 + 24 + 3 + 616 + 8 + 1 + 1 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273389698 + ... + 273390218.

It is an arithmetic number, because the mean of its divisors is an integer number (2550309300).

Almost surely, 2142436168118 is an apocalyptic number.

142436168118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142436168118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163219795200).

142436168118 is an abundant number, since it is smaller than the sum of its proper divisors (184003422282).

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

142436168118 is a wasteful number, since it uses less digits than its factorization.

142436168118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 142436168118 in words is "one hundred forty-two billion, four hundred thirty-six million, one hundred sixty-eight thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 281 387 419 521 562 774 838 843 1042 1161 1257 1563 1686 2322 2514 2529 3126 3771 4689 5058 7542 7587 9378 11313 12083 14067 15174 18017 22403 22626 24166 28134 36034 36249 44806 54051 67209 72498 108102 108747 117739 134418 146401 162153 201627 217494 218299 235478 292802 324306 326241 353217 403254 436598 439203 486459 604881 652482 654897 706434 878406 972918 1059651 1209762 1309794 1317609 1964691 2119302 2635218 3178953 3929382 3952827 5062777 5894073 6295243 6357906 7905654 9386857 10125554 11788146 12590486 15188331 18773714 18885729 28160571 30376662 37771458 45564993 56321142 56657187 61342019 84481713 91129986 113314374 122684038 136694979 168963426 169971561 184026057 253445139 273389958 339943122 368052114 506890278 552078171 1104156342 1656234513 2637706817 3312469026 5275413634 7913120451 15826240902 23739361353 47478722706 71218084059 142436168118