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13141005525544 = 23131723359900169
BaseRepresentation
bin1011111100111010000011…
…1101110110001000101000
31201112021020021021101202111
42333032200331312020220
53210300234403304134
643540521122212104
72524256236654141
oct277164075661050
951467207241674
1013141005525544
114207084041086
1215829941b4034
13744264970630
14336056ddcac8
1517bc637cbc64
hexbf3a0f76228

13141005525544 has 128 divisors (see below), whose sum is σ = 29398832064000. Its totient is φ = 5444907393024.

The previous prime is 13141005525533. The next prime is 13141005525553. The reversal of 13141005525544 is 44552550014131.

It is a junction number, because it is equal to n+sod(n) for n = 13141005525497 and 13141005525506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14148292 + ... + 15048460.

It is an arithmetic number, because the mean of its divisors is an integer number (229678375500).

Almost surely, 213141005525544 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 13141005525544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699416032000).

13141005525544 is an abundant number, since it is smaller than the sum of its proper divisors (16257826538456).

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

13141005525544 is a wasteful number, since it uses less digits than its factorization.

13141005525544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900587 (or 900583 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

Adding to 13141005525544 its reverse (44552550014131), we get a palindrome (57693555539675).

The spelling of 13141005525544 in words is "thirteen trillion, one hundred forty-one billion, five million, five hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 359 391 442 598 718 782 884 1196 1436 1564 1768 2392 2872 3128 4667 5083 6103 8257 9334 10166 12206 16514 18668 20332 24412 33028 37336 40664 48824 66056 79339 107341 140369 158678 214682 280738 317356 429364 561476 634712 858728 900169 1122952 1800338 1824797 3600676 3649594 7201352 7299188 11702197 14598376 15302873 20703887 23404394 30605746 41407774 46808788 61211492 82815548 93617576 122422984 165631096 198937349 269150531 323160671 351966079 397874698 538301062 646321342 703932158 795749396 1076602124 1292642684 1407864316 1591498792 2153204248 2585285368 2815728632 4201088723 4575559027 5493731407 7432695433 8402177446 9151118054 10987462814 14865390866 16804354892 18302236108 21974925628 29730781732 33608709784 36604472216 43949851256 59461563464 71418508291 96625040629 126355822361 142837016582 193250081258 252711644722 285674033164 386500162516 505423289444 571348066328 773000325032 1010846578888 1642625690693 3285251381386 6570502762772 13141005525544