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142566260364 = 2232113776912653
BaseRepresentation
bin1000010011000110011…
…1000111111010001100
3111121222200120102011100
42010301213013322030
54313433430312424
6145254413423100
713204632134643
oct2046147077214
9447880512140
10142566260364
1155509a34580
122376919aa90
13105a0450a58
146c863aa35a
153a96189dc9
hex21319c7e8c

142566260364 has 144 divisors (see below), whose sum is σ = 404319595680. Its totient is φ = 41976299520.

The previous prime is 142566260351. The next prime is 142566260423. The reversal of 142566260364 is 463062665241.

It is a happy number.

142566260364 is a `hidden beast` number, since 1 + 4 + 2 + 566 + 26 + 0 + 3 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11261062 + ... + 11273714.

It is an arithmetic number, because the mean of its divisors is an integer number (2807774970).

Almost surely, 2142566260364 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 142566260364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202159797840).

142566260364 is an abundant number, since it is smaller than the sum of its proper divisors (261753335316).

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

142566260364 is a wasteful number, since it uses less digits than its factorization.

142566260364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13480 (or 13475 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 142566260364 in words is "one hundred forty-two billion, five hundred sixty-six million, two hundred sixty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 769 814 1221 1332 1538 1628 2307 2442 3076 3663 4614 4884 6921 7326 8459 9228 12653 13842 14652 16918 25306 25377 27684 28453 33836 37959 50612 50754 56906 75918 76131 85359 101508 113812 113877 139183 151836 152262 170718 227754 256077 278366 304524 312983 341436 417549 455508 468161 512154 556732 625966 835098 936322 938949 1024308 1251932 1252647 1404483 1670196 1872644 1877898 2505294 2808966 2816847 3755796 4213449 5010588 5149771 5617932 5633694 8426898 9730157 10299542 11267388 15449313 16853796 19460314 20599084 29190471 30898626 38920628 46347939 58380942 61797252 87571413 92695878 107031727 116761884 175142826 185391756 214063454 321095181 350285652 360015809 428126908 642190362 720031618 963285543 1080047427 1284380724 1440063236 1926571086 2160094854 3240142281 3853142172 3960173899 4320189708 6480284562 7920347798 11880521697 12960569124 15840695596 23761043394 35641565091 47522086788 71283130182 142566260364