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132331143121024 = 271761996949909
BaseRepresentation
bin11110000101101010111110…
…110001110100100010000000
3122100112201210220001122002211
4132011222332301310202000
5114321103140114333044
61145240030553151504
736605416042251331
oct3605527661644200
9570481726048084
10132331143121024
113918a360476061
1212a127b40bb594
1358aba08aab203
142496c0bd60288
151047383db1634
hex785abec74880

132331143121024 has 64 divisors (see below), whose sum is σ = 283712005387800. Its totient is φ = 61252602347520.

The previous prime is 132331143120901. The next prime is 132331143121043. The reversal of 132331143121024 is 420121341133231.

It can be written as a sum of positive squares in 4 ways, for example, as 46341130434624 + 85990012686400 = 6807432^2 + 9273080^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498342219 + ... + 498607690.

Almost surely, 2132331143121024 is an apocalyptic number.

It is an amenable number.

132331143121024 is an abundant number, since it is smaller than the sum of its proper divisors (151380862266776).

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

132331143121024 is an equidigital number, since it uses as much as digits as its factorization.

132331143121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996950001 (or 996949989 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 132331143121024 its reverse (420121341133231), we get a palindrome (552452484254255).

The spelling of 132331143121024 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, one hundred forty-three million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 272 488 544 976 1037 1088 1952 2074 2176 3904 4148 7808 8296 16592 33184 66368 132736 996949909 1993899818 3987799636 7975599272 15951198544 16948148453 31902397088 33896296906 60813944449 63804794176 67792593812 121627888898 127609588352 135585187624 243255777796 271170375248 486511555592 542340750496 973023111184 1033837055633 1084681500992 1946046222368 2067674111266 2169363001984 3892092444736 4135348222532 7784184889472 8270696445064 16541392890128 33082785780256 66165571560512 132331143121024