Search a number
-
+
13143131442 = 2347311372729
BaseRepresentation
bin11000011110110010…
…00100010100110010
31020220222010020220000
430033121010110302
5203404120201232
610012102530430
7643461526320
oct141731042462
936828106800
1013143131442
115634a56201
122669736a16
131315c3746c
148c9786d10
1551dcc627c
hex30f644532

13143131442 has 160 divisors (see below), whose sum is σ = 35009694720. Its totient is φ = 3606197760.

The previous prime is 13143131429. The next prime is 13143131461. The reversal of 13143131442 is 24413134131.

13143131442 is a `hidden beast` number, since 1 + 314 + 31 + 314 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4814734 + ... + 4817462.

It is an arithmetic number, because the mean of its divisors is an integer number (218810592).

Almost surely, 213143131442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13143131442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17504847360).

13143131442 is an abundant number, since it is smaller than the sum of its proper divisors (21866563278).

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

13143131442 is a wasteful number, since it uses less digits than its factorization.

13143131442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2909 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 13143131442 its reverse (24413134131), we get a palindrome (37556265573).

The spelling of 13143131442 in words is "thirteen billion, one hundred forty-three million, one hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 137 162 186 189 217 274 279 378 411 434 558 567 651 822 837 959 1134 1233 1302 1674 1918 1953 2466 2511 2729 2877 3699 3906 4247 5022 5458 5754 5859 7398 8187 8494 8631 11097 11718 12741 16374 17262 17577 19103 22194 24561 25482 25893 29729 35154 38206 38223 49122 51786 57309 59458 73683 76446 77679 84599 89187 114618 114669 147366 155358 169198 171927 178374 221049 229338 253797 267561 343854 344007 373873 442098 507594 515781 535122 592193 688014 747746 761391 802683 1031562 1121619 1184386 1522782 1547343 1605366 1776579 2243238 2284173 2408049 2617111 3094686 3364857 3553158 4568346 4816098 5234222 5329737 6729714 6852519 7851333 10094571 10659474 11590063 13705038 15702666 15989211 20189142 23180126 23553999 30283713 31978422 34770189 47107998 47967633 60567426 69540378 70661997 81130441 95935266 104310567 141323994 162260882 208621134 211985991 243391323 312931701 423971982 486782646 625863402 730173969 938795103 1460347938 1877590206 2190521907 4381043814 6571565721 13143131442