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132161441436431 = 113112754122812473
BaseRepresentation
bin11110000011001100111011…
…110001010001001100001111
3122022221111210002101211210022
4132003030323301101030033
5114310313113001431211
61145030043353132355
736560230502605361
oct3603147361211417
9568844702354708
10132161441436431
1139124397281750
12129a59333ba0bb
135898a028b2224
14248c90db7cd31
151042c50840bdb
hex78333bc5130f

132161441436431 has 64 divisors (see below), whose sum is σ = 150402763456512. Its totient is φ = 115045297920000.

The previous prime is 132161441436391. The next prime is 132161441436491. The reversal of 132161441436431 is 134634144161231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132161441436431 is a prime.

It is a super-2 number, since 2×1321614414364312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132161441436491) 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, 53441746211 + ... + 53441748683.

It is an arithmetic number, because the mean of its divisors is an integer number (2350043179008).

Almost surely, 2132161441436431 is an apocalyptic number.

132161441436431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132161441436431 is a deficient number, since it is larger than the sum of its proper divisors (18241322020081).

132161441436431 is a wasteful number, since it uses less digits than its factorization.

132161441436431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464.

The product of its digits is 497664, while the sum is 44.

Adding to 132161441436431 its reverse (134634144161231), we get a palindrome (266795585597662).

The spelling of 132161441436431 in words is "one hundred thirty-two trillion, one hundred sixty-one billion, four hundred forty-one million, four hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 11 31 127 341 541 1397 2281 2473 3937 5951 16771 25091 27203 43307 68707 70711 76663 184481 289687 314071 755777 777821 843293 1234021 1337893 2129917 3186557 3454781 5640913 8980297 9736201 13574231 14716823 23429087 38254651 41474683 62050043 98783267 107098211 156720667 169912411 174868303 420801161 456221513 716395951 1723927337 1869036521 1923551333 3051733933 4858340677 5267284741 7880355461 22208274481 33569073263 53441747447 57940132151 94603751923 244291019291 387570209491 1040641271153 4263272304401 12014676494221 132161441436431