Search a number
-
+
132220138014414 = 235272057897149
BaseRepresentation
bin11110000100000011100110…
…010110111100011011001110
3122100011010021202100221200000
4132010003212112330123032
5114312243320312430124
61145113032020345130
736564406164361032
oct3604034626743316
9570133252327600
10132220138014414
1139147277a3452a
12129b51948451a6
1358a13c82a6988
1424916bb4a01c2
1510445389296c9
hex7840e65bc6ce

132220138014414 has 24 divisors (see below), whose sum is σ = 297087223687800. Its totient is φ = 44073379337976.

The previous prime is 132220138014413. The next prime is 132220138014439. The reversal of 132220138014414 is 414410831022231.

132220138014414 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 201 + 3 + 8 + 0 + 1 + 441 + 4 = 666.

132220138014414 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1322201380144142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220138014413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136028948089 + ... + 136028949060.

It is an arithmetic number, because the mean of its divisors is an integer number (12378634320325).

Almost surely, 2132220138014414 is an apocalyptic number.

132220138014414 is an abundant number, since it is smaller than the sum of its proper divisors (164867085673386).

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

132220138014414 is an equidigital number, since it uses as much as digits as its factorization.

132220138014414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272057897166 (or 272057897154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 132220138014414 its reverse (414410831022231), we get a palindrome (546630969036645).

The spelling of 132220138014414 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-eight million, fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 272057897149 544115794298 816173691447 1632347382894 2448521074341 4897042148682 7345563223023 14691126446046 22036689669069 44073379338138 66110069007207 132220138014414