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142158805344 = 253212719919531
BaseRepresentation
bin1000010001100101010…
…0110011100101100000
3111120221021212112221200
42010121110303211200
54312120123232334
6145150140321200
713161553623303
oct2043124634540
9446837775850
10142158805344
115531aa37596
1223674843200
1310536bcc0ca
146c48224b3a
153a70502799
hex2119533960

142158805344 has 144 divisors (see below), whose sum is σ = 409515724800. Its totient is φ = 46774506240.

The previous prime is 142158805319. The next prime is 142158805357. The reversal of 142158805344 is 443508851241.

142158805344 is a `hidden beast` number, since 1 + 4 + 21 + 588 + 0 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 142158805344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7268859 + ... + 7288389.

It is an arithmetic number, because the mean of its divisors is an integer number (2843859200).

Almost surely, 2142158805344 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 142158805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204757862400).

142158805344 is an abundant number, since it is smaller than the sum of its proper divisors (267356919456).

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

142158805344 is a wasteful number, since it uses less digits than its factorization.

142158805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873 (or 19862 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 142158805344 in words is "one hundred forty-two billion, one hundred fifty-eight million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 199 254 288 381 398 508 597 762 796 1016 1143 1194 1524 1592 1791 2032 2286 2388 3048 3184 3582 4064 4572 4776 6096 6368 7164 9144 9552 12192 14328 18288 19104 19531 25273 28656 36576 39062 50546 57312 58593 75819 78124 101092 117186 151638 156248 175779 202184 227457 234372 303276 312496 351558 404368 454914 468744 606552 624992 703116 808736 909828 937488 1213104 1406232 1819656 1874976 2426208 2480437 2812464 3639312 3886669 4960874 5624928 7278624 7441311 7773338 9921748 11660007 14882622 15546676 19843496 22323933 23320014 29765244 31093352 34980021 39686992 44647866 46640028 59530488 62186704 69960042 79373984 89295732 93280056 119060976 124373408 139920084 178591464 186560112 238121952 279840168 357182928 373120224 493606963 559680336 714365856 987213926 1119360672 1480820889 1974427852 2961641778 3948855704 4442462667 5923283556 7897711408 8884925334 11846567112 15795422816 17769850668 23693134224 35539701336 47386268448 71079402672 142158805344