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142182613427504 = 24132593251274139
BaseRepresentation
bin100000010101000001111000…
…001010101010010100110000
3200122102112011210110200101012
4200111001320022222110300
5122114004443014140004
61222221442455330052
741643232464231326
oct4025017012522460
9618375153420335
10142182613427504
114133834264aa51
1213b43b39680928
1361449bc180c00
142717964ab1d16
15116876935646e
hex8150782aa530

142182613427504 has 120 divisors (see below), whose sum is σ = 303449886446400. Its totient is φ = 64490416224000.

The previous prime is 142182613427501. The next prime is 142182613427521. The reversal of 142182613427504 is 405724316281241.

It is a super-2 number, since 2×1421826134275042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142182613427501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518514467 + ... + 518788605.

It is an arithmetic number, because the mean of its divisors is an integer number (2528749053720).

Almost surely, 2142182613427504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142182613427504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724943223200).

142182613427504 is an abundant number, since it is smaller than the sum of its proper divisors (161267273018896).

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

142182613427504 is a wasteful number, since it uses less digits than its factorization.

142182613427504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277483 (or 277464 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 142182613427504 in words is "one hundred forty-two trillion, one hundred eighty-two billion, six hundred thirteen million, four hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 169 208 236 338 472 676 767 944 1352 1534 2704 3068 3251 6136 6502 9971 12272 13004 19942 26008 39884 42263 52016 79768 84526 159536 169052 191809 274139 338104 383618 548278 549419 676208 767236 1096556 1098838 1534472 2193112 2197676 2493517 3068944 3563807 4386224 4395352 4987034 7127614 8790704 9974068 14255228 16174201 19948136 28510456 32348402 32415721 39896272 46329491 57020912 64696804 64831442 92658982 129393608 129662884 185317964 210264613 258787216 259325768 370635928 420529226 518651536 741271856 841058452 891225889 1682116904 1782451778 2733439969 3364233808 3564903556 5466879938 7129807112 10933759876 11585936557 14259614224 21867519752 23171873114 43735039504 46343746228 52582327451 92687492456 105164654902 150617175241 185374984912 210329309804 301234350482 420658619608 602468700964 683570256863 841317239216 1204937401928 1367140513726 2409874803856 2734281027452 5468562054904 8886413339219 10937124109808 17772826678438 35545653356876 71091306713752 142182613427504