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32214124342134 = 23276715413247579
BaseRepresentation
bin1110101001100011011110…
…11100000010101101110110
311020001122021201021012212100
413110301233130002231312
513210244011312422014
6152302544152002530
76533252013644310
oct724615734025566
9136048251235770
1032214124342134
11a29aa2a409369
123743391090446
1314c8a182b8a87
147d5259b207b0
153ace6b221009
hex1d4c6f702b76

32214124342134 has 96 divisors (see below), whose sum is σ = 80964459313920. Its totient is φ = 9066036995136.

The previous prime is 32214124342063. The next prime is 32214124342199. The reversal of 32214124342134 is 43124342141223.

32214124342134 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 4 + 1 + 2 + 434 + 213 + 4 = 666.

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, 129992757 + ... + 130240335.

It is an arithmetic number, because the mean of its divisors is an integer number (843379784520).

Almost surely, 232214124342134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32214124342134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40482229656960).

32214124342134 is an abundant number, since it is smaller than the sum of its proper divisors (48750334971786).

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

32214124342134 is a wasteful number, since it uses less digits than its factorization.

32214124342134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263074 (or 263071 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 32214124342134 its reverse (43124342141223), we get a palindrome (75338466483357).

The spelling of 32214124342134 in words is "thirty-two trillion, two hundred fourteen billion, one hundred twenty-four million, three hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 15413 30826 46239 92478 107891 138717 215782 247579 277434 323673 495158 647346 742737 971019 1032671 1485474 1733053 1942038 2065342 2228211 3098013 3466106 4456422 5199159 6196026 7228697 9294039 10398318 14457394 15597477 16587793 18588078 21686091 31194954 33175586 43372182 49763379 65058273 99526758 116114551 130116546 149290137 232229102 298580274 348343653 696687306 1045030959 2090061918 3815935127 7631870254 11447805381 22895610762 26711545889 34343416143 53423091778 68686832286 80134637667 160269275334 240403913001 255667653509 480807826002 511335307018 767002960527 1534005921054 1789673574563 2301008881581 3579347149126 4602017763162 5369020723689 10738041447378 16107062171067 32214124342134