Search a number
-
+
132443233504036 = 227131579403246469
BaseRepresentation
bin11110000111010011010111…
…111000101100101100100100
3122100221110010122220001212221
4132013103113320230230210
5114324422220234112121
61145403325335122124
736616464535633030
oct3607232770545444
9570843118801787
10132443233504036
1139222950585934
1212a30476b13344
1358b94603a9830
14249c402a091c0
15104a244771b41
hex7874d7e2cb24

132443233504036 has 96 divisors (see below), whose sum is σ = 287111002223360. Its totient is φ = 52055650543104.

The previous prime is 132443233503979. The next prime is 132443233504091. The reversal of 132443233504036 is 630405332344231.

It is a junction number, because it is equal to n+sod(n) for n = 132443233503983 and 132443233504001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537239410 + ... + 537485878.

Almost surely, 2132443233504036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132443233504036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143555501111680).

132443233504036 is an abundant number, since it is smaller than the sum of its proper divisors (154667768719324).

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

132443233504036 is a wasteful number, since it uses less digits than its factorization.

132443233504036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256053 (or 256051 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 43.

Adding to 132443233504036 its reverse (630405332344231), we get a palindrome (762848565848267).

The spelling of 132443233504036 in words is "one hundred thirty-two trillion, four hundred forty-three billion, two hundred thirty-three million, five hundred four thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 157 182 314 364 628 1099 2041 2198 4082 4396 8164 9403 14287 18806 28574 37612 57148 65821 122239 131642 244478 246469 263284 488956 492938 855673 985876 1476271 1711346 1725283 2952542 3204097 3422692 3450566 5905084 6408194 6901132 10333897 12816388 19191523 20667794 22428679 38383046 38695633 41335588 44857358 76766092 77391266 89714716 134340661 154782532 268681322 270869431 503043229 537362644 541738862 1006086458 1083477724 2012172916 2317548007 3521302603 4635096014 7042605206 9270192028 14085210412 16222836049 30128124091 32445672098 60256248182 64891344196 120512496364 210896868637 363855037099 421793737274 727710074198 843587474548 1455420148396 2546985259693 4730115482287 5093970519386 9460230964574 10187941038772 18920461929148 33110808376009 66221616752018 132443233504036