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142465544550054 = 234111914879282797
BaseRepresentation
bin100000011001001001011000…
…001011001111011010100110
3200200102120110202021220010000
4200121021120023033122212
5122133123413401100204
61222555433451242130
742002540001132615
oct4031113013173246
9620376422256100
10142465544550054
1141437330913a60
1213b8a93a749346
13616559b95181b
142727524d2587c
151170cc8285039
hex8192582cf6a6

142465544550054 has 160 divisors (see below), whose sum is σ = 366603942988800. Its totient is φ = 40896305991360.

The previous prime is 142465544550047. The next prime is 142465544550071. The reversal of 142465544550054 is 450055445564241.

142465544550054 is a `hidden beast` number, since 1 + 4 + 2 + 46 + 5 + 5 + 4 + 45 + 500 + 54 = 666.

It is a super-2 number, since 2×1424655445500542 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 503631784 + ... + 503914580.

It is an arithmetic number, because the mean of its divisors is an integer number (2291274643680).

Almost surely, 2142465544550054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142465544550054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183301971494400).

142465544550054 is an abundant number, since it is smaller than the sum of its proper divisors (224138398438746).

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

142465544550054 is a wasteful number, since it uses less digits than its factorization.

142465544550054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297720 (or 297711 counting only the distinct ones).

The product of its (nonzero) digits is 38400000, while the sum is 54.

The spelling of 142465544550054 in words is "one hundred forty-two trillion, four hundred sixty-five billion, five hundred forty-four million, five hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 14879 16929 29758 33858 44637 89274 133911 163669 267822 282701 282797 327338 401733 491007 565402 565594 803466 848103 848391 982014 1205199 1473021 1696206 1696782 2410398 2544309 2545173 2946042 3109711 3110767 4419063 5088618 5090346 5373143 6219422 6221534 7632927 7635519 8838126 9329133 9332301 10746286 13257189 15265854 15271038 16119429 18658266 18664602 22898781 22906557 26514378 27987399 27996903 32238858 45797562 45813114 48358287 55974798 55993806 59104573 83962197 83990709 96716574 118209146 145074861 167924394 167981418 177313719 251886591 251972127 290149722 354627438 435224583 503773182 503944254 531941157 870449166 1063882314 1595823471 3191646942 4207736563 4787470413 8415473126 9574940826 12623209689 25246419378 37869629067 46285102193 75739258134 79946994697 92570204386 113608887201 138855306579 159893989394 227217774402 239840984091 277710613158 340826661603 416565919737 479681968182 681653323206 719522952273 833131839474 879416941667 1249697759211 1439045904546 1758833883334 2158568856819 2499395518422 2638250825001 3749093277633 4317137713638 5276501650002 6475706570457 7498186555266 7914752475003 12951413140914 15829504950006 23744257425009 47488514850018 71232772275027 142465544550054