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132415504431045 = 35118091612761511
BaseRepresentation
bin11110000110111001100011…
…000110101011011111000101
3122100211210120011202012201120
4132012321203012223133011
5114323443423113243140
61145342502024544153
736614463432460443
oct3606714306533705
9570753504665646
10132415504431045
1139212111205990
1212a27018622059
1358b696164a834
14249ad32021b93
1510496701c51d0
hex786e631ab7c5

132415504431045 has 64 divisors (see below), whose sum is σ = 231429048238080. Its totient is φ = 64117079206400.

The previous prime is 132415504431037. The next prime is 132415504431047. The reversal of 132415504431045 is 540134405514231.

It is not a de Polignac number, because 132415504431045 - 23 = 132415504431037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132415504430988 and 132415504431006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132415504431047) 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, 2152681840 + ... + 2152743350.

It is an arithmetic number, because the mean of its divisors is an integer number (3616078878720).

Almost surely, 2132415504431045 is an apocalyptic number.

132415504431045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132415504431045 is a deficient number, since it is larger than the sum of its proper divisors (99013543807035).

132415504431045 is a wasteful number, since it uses less digits than its factorization.

132415504431045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78466.

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 132415504431045 its reverse (540134405514231), we get a palindrome (672549909945276).

The spelling of 132415504431045 in words is "one hundred thirty-two trillion, four hundred fifteen billion, five hundred four million, four hundred thirty-one thousand, forty-five".

Divisors: 1 3 5 11 15 33 55 165 809 2427 4045 8899 12135 16127 26697 44495 48381 61511 80635 133485 177397 184533 241905 307555 532191 676621 886985 922665 2029863 2660955 3383105 10149315 13046743 39140229 49762399 65233715 143514173 149287197 195701145 248811995 430542519 547386389 717570865 746435985 991987897 1642159167 2152712595 2736931945 2975963691 4959939485 8210795835 10911866867 14879818455 32735600601 54559334335 163678003005 802518208673 2407554626019 4012591043365 8827700295403 12037773130095 26483100886209 44138501477015 132415504431045