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412312132141 = 73132961167313
BaseRepresentation
bin1011111111111111011…
…01111101101000101101
31110102020202000111010221
411333333231331220231
523223403401212031
6513225155531341
741534323204000
oct5777755755055
91412222014127
10412312132141
111499514a4518
1267aaa5b9b51
132cb5b35ab30
1415d55431537
15aad2772a11
hex5fffb7da2d

412312132141 has 128 divisors (see below), whose sum is σ = 549464832000. Its totient is φ = 306973255680.

The previous prime is 412312132139. The next prime is 412312132151. The reversal of 412312132141 is 141231213214.

It is not a de Polignac number, because 412312132141 - 21 = 412312132139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412312132151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1317291001 + ... + 1317291313.

It is an arithmetic number, because the mean of its divisors is an integer number (4292694000).

Almost surely, 2412312132141 is an apocalyptic number.

It is an amenable number.

412312132141 is a deficient number, since it is larger than the sum of its proper divisors (137152699859).

412312132141 is a wasteful number, since it uses less digits than its factorization.

412312132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 412312132141 its reverse (141231213214), we get a palindrome (553543345355).

The spelling of 412312132141 in words is "four hundred twelve billion, three hundred twelve million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 7 13 29 49 61 91 167 203 313 343 377 427 637 793 1169 1421 1769 2171 2191 2639 2989 4069 4459 4843 5551 8183 9077 9947 10187 12383 15197 15337 18473 19093 20923 22997 28483 33901 38857 52271 57281 62959 63539 71309 86681 106379 107359 118001 129311 132431 133651 160979 199381 237307 248209 271999 295423 365897 440713 444773 499163 553697 606767 679523 744653 826007 927017 935557 1126853 1395667 1515859 1661149 1737463 2067961 2561279 3084991 3113411 3188531 3494141 3840499 3875879 4756661 5782049 6489119 6548899 7198061 7887971 10611013 12162241 14475727 17928953 19706167 21594937 22319717 26883493 27131153 33296627 40474343 41450903 45423833 50386427 74277091 85135687 92467399 101330089 137943169 156238019 188184451 189918071 233076389 290156321 352704989 519939637 647271793 965602183 1093666133 1202076187 1317291157 2031094247 2468934923 4530902551 6759215281 8414533309 14217659729 31716317857 58901733163 412312132141