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142646314304 = 26133718125601
BaseRepresentation
bin1000010011011001100…
…0100000010101000000
3111122012021012120112002
42010312120200111000
54314114424024204
6145310353323132
713206623444234
oct2046630402500
9448167176462
10142646314304
115555014225a
122378bb664a8
13105b3bcc850
146c92c885c4
153a9d1ee91e
hex2136620540

142646314304 has 112 divisors (see below), whose sum is σ = 314818782096. Its totient is φ = 63700992000.

The previous prime is 142646314297. The next prime is 142646314337. The reversal of 142646314304 is 403413646241.

It can be written as a sum of positive squares in 8 ways, for example, as 879003904 + 141767310400 = 29648^2 + 376520^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5559104 + ... + 5584704.

It is an arithmetic number, because the mean of its divisors is an integer number (2810881983).

Almost surely, 2142646314304 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 142646314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157409391048).

142646314304 is an abundant number, since it is smaller than the sum of its proper divisors (172172467792).

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

142646314304 is a wasteful number, since it uses less digits than its factorization.

142646314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25844 (or 25834 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 142646314304 in words is "one hundred forty-two billion, six hundred forty-six million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 181 208 296 362 416 481 592 724 832 962 1184 1448 1924 2353 2368 2896 3848 4706 5792 6697 7696 9412 11584 13394 15392 18824 25601 26788 30784 37648 51202 53576 75296 87061 102404 107152 150592 174122 204808 214304 332813 348244 409616 428608 665626 696488 819232 947237 1331252 1392976 1638464 1894474 2662504 2785952 3788948 4633781 5325008 5571904 7577896 9267562 10650016 12314081 15155792 18535124 21300032 24628162 30311584 37070248 49256324 60239153 60623168 74140496 98512648 120478306 148280992 171449897 197025296 240956612 296561984 342899794 394050592 481913224 685799588 788101184 963826448 1371599176 1927652896 2228848661 2743198352 3855305792 4457697322 5486396704 8915394644 10972793408 17830789288 35661578576 71323157152 142646314304