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142404442312 = 231119233365537
BaseRepresentation
bin1000010010011111110…
…1110101100011001000
3111121120102002012112011
42010213331311203020
54313121014123222
6145230353225304
713200625534126
oct2044775654310
9447512065464
10142404442312
1155436660250
1223722b62234
1310575a74922
146c6cac6916
153a86d73c77
hex2127f758c8

142404442312 has 64 divisors (see below), whose sum is σ = 307929211200. Its totient is φ = 61059133440.

The previous prime is 142404442309. The next prime is 142404442361. The reversal of 142404442312 is 213244404241.

It is a happy number.

142404442312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 206808 + ... + 572344.

It is an arithmetic number, because the mean of its divisors is an integer number (4811393925).

Almost surely, 2142404442312 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 142404442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964605600).

142404442312 is an abundant number, since it is smaller than the sum of its proper divisors (165524768888).

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

142404442312 is a wasteful number, since it uses less digits than its factorization.

142404442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365806 (or 365802 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 142404442312 its reverse (213244404241), we get a palindrome (355648846553).

The spelling of 142404442312 in words is "one hundred forty-two billion, four hundred four million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 233 418 466 836 932 1672 1864 2563 4427 5126 8854 10252 17708 20504 35416 48697 97394 194788 365537 389576 731074 1462148 2924296 4020907 6945203 8041814 13890406 16083628 27780812 32167256 55561624 76397233 85170121 152794466 170340242 305588932 340680484 611177864 681360968 936871331 1618232299 1873742662 3236464598 3747485324 6472929196 7494970648 12945858392 17800555289 35601110578 71202221156 142404442312