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42234132402 = 237711125399
BaseRepresentation
bin100111010101010110…
…011011011110110010
311001000100222020000000
4213111112123132302
51142443414214102
631222504010430
73023413126230
oct472526333662
9131010866000
1042234132402
1116a03080860
128228160a16
133ca0ba4ab7
1420891b1950
151172be701c
hex9d559b7b2

42234132402 has 128 divisors (see below), whose sum is σ = 118457856000. Its totient is φ = 10969817040.

The previous prime is 42234132383. The next prime is 42234132481. The reversal of 42234132402 is 20423143224.

42234132402 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 413 + 240 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 274099 + ... + 399497.

It is an arithmetic number, because the mean of its divisors is an integer number (925452000).

Almost surely, 242234132402 is an apocalyptic number.

42234132402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234132402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59228928000).

42234132402 is an abundant number, since it is smaller than the sum of its proper divisors (76223723598).

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

42234132402 is a wasteful number, since it uses less digits than its factorization.

42234132402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125440 (or 125422 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42234132402 its reverse (20423143224), we get a palindrome (62657275626).

The spelling of 42234132402 in words is "forty-two billion, two hundred thirty-four million, one hundred thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 729 891 1134 1386 1458 1701 1782 2079 2187 2673 3402 4158 4374 5103 5346 6237 8019 10206 12474 15309 16038 18711 24057 30618 37422 48114 56133 112266 125399 168399 250798 336798 376197 752394 877793 1128591 1379389 1755586 2257182 2633379 2758778 3385773 4138167 5266758 6771546 7900137 8276334 9655723 10157319 12414501 15800274 19311446 20314638 23700411 24829002 28967169 30471957 37243503 47400822 57934338 60943914 71101233 74487006 86901507 91415871 111730509 142202466 173803014 182831742 213303699 223461018 260704521 274247613 335191527 426607398 521409042 548495226 639911097 670383054 782113563 1005574581 1279822194 1564227126 1919733291 2011149162 2346340689 3016723743 3839466582 4692681378 6033447486 7039022067 14078044134 21117066201 42234132402