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131445412884747 = 331319127155196169
BaseRepresentation
bin11101111000110010000101…
…001001000111000100001011
3122020102001120211100122201000
4131320302011021013010023
5114212100201144302442
61143321104500230043
736454421603414433
oct3570620511070413
9566361524318630
10131445412884747
1138978760886a25
12128ab00299b323
1358463317a33a0
142465dc5bd32c3
15102e2e4502d4c
hex778c8524710b

131445412884747 has 64 divisors (see below), whose sum is σ = 222489229312000. Its totient is φ = 76028740349184.

The previous prime is 131445412884701. The next prime is 131445412884769. The reversal of 131445412884747 is 747488214544131.

131445412884747 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 541 + 2 + 8 + 8 + 47 + 47 = 666.

It is not a de Polignac number, because 131445412884747 - 28 = 131445412884491 is a prime.

It is a super-2 number, since 2×1314454128847472 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131445412884547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76751122 + ... + 78445047.

It is an arithmetic number, because the mean of its divisors is an integer number (3476394208000).

Almost surely, 2131445412884747 is an apocalyptic number.

131445412884747 is a deficient number, since it is larger than the sum of its proper divisors (91043816427253).

131445412884747 is a wasteful number, since it uses less digits than its factorization.

131445412884747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155196337 (or 155196331 counting only the distinct ones).

The product of its digits is 96337920, while the sum is 63.

The spelling of 131445412884747 in words is "one hundred thirty-one trillion, four hundred forty-five billion, four hundred twelve million, eight hundred eighty-four thousand, seven hundred forty-seven".

Divisors: 1 3 9 13 19 27 39 57 117 127 171 247 351 381 513 741 1143 1651 2223 2413 3429 4953 6669 7239 14859 21717 31369 44577 65151 94107 282321 846963 155196169 465588507 1396765521 2017550197 2948727211 4190296563 6052650591 8846181633 18157951773 19709913463 26538544899 38333453743 54473855319 59129740389 79615634697 115000361229 177389221167 256228875019 345001083687 374488355797 532167663501 768686625057 1035003251061 1123465067391 2306059875171 3370395202173 4868348625361 6918179625513 10111185606519 14605045876083 43815137628249 131445412884747