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10142113433142 = 235379233115439
BaseRepresentation
bin1001001110010110010100…
…0100011000011000110110
31022220120120022201122211010
42103211211010120120312
52312132022014330032
633323120025053050
72064513011526255
oct223454504303066
938816508648733
1010142113433142
1132602786a0819
121179739327186
1358752182c772
14270c4930279c
15128c46481ccc
hex93965118636

10142113433142 has 96 divisors (see below), whose sum is σ = 20996464688640. Its totient is φ = 3264825769920.

The previous prime is 10142113433077. The next prime is 10142113433147. The reversal of 10142113433142 is 24133431124101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142113433147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656907459 + ... + 656922897.

It is an arithmetic number, because the mean of its divisors is an integer number (218713173840).

Almost surely, 210142113433142 is an apocalyptic number.

10142113433142 is an abundant number, since it is smaller than the sum of its proper divisors (10854351255498).

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

10142113433142 is a wasteful number, since it uses less digits than its factorization.

10142113433142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15986 (or 15907 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10142113433142 its reverse (24133431124101), we get a palindrome (34275544557243).

The spelling of 10142113433142 in words is "ten trillion, one hundred forty-two billion, one hundred thirteen million, four hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 53 79 106 158 159 237 318 331 474 662 993 1986 4187 6241 8374 12482 12561 15439 17543 18723 25122 26149 30878 35086 37446 46317 52298 52629 78447 92634 105258 156894 330773 661546 818267 992319 1219681 1385897 1636534 1984638 2065771 2439362 2454801 2771794 3659043 4131542 4157691 4909602 5110309 6197313 7318086 8315382 10220618 12394626 15330927 30661854 64643093 96354799 109485863 129286186 192709598 193929279 218971726 270846377 289064397 328457589 387858558 403714411 541692754 578128794 656915178 807428822 812539131 1211143233 1625078262 2422286466 5106804347 10213608694 15320413041 21396863783 30640826082 31893438469 42793727566 63786876938 64190591349 95680315407 128381182698 191360630814 1690352238857 3380704477714 5071056716571 10142113433142