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132332123403144 = 23337259832553203
BaseRepresentation
bin11110000101101011111001…
…001101010011001110001000
3122100112211100012122010101000
4132011223321031103032020
5114321112142042400034
61145240312132055000
736605452244436600
oct3605537115231610
9570484305563330
10132332123403144
113918a813851575
1212a12a28464460
1358abb33c034c2
142496ca2217c00
1510473dee9a599
hex785af9353388

132332123403144 has 384 divisors, whose sum is σ = 440090667072000. Its totient is φ = 36720518825088.

The previous prime is 132332123403131. The next prime is 132332123403229. The reversal of 132332123403144 is 441304321233231.

132332123403144 is a `hidden beast` number, since 1 + 3 + 2 + 33 + 212 + 3 + 403 + 1 + 4 + 4 = 666.

132332123403144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132332123403099 and 132332123403108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50553247 + ... + 53106449.

It is an arithmetic number, because the mean of its divisors is an integer number (1146069445500).

Almost surely, 2132332123403144 is an apocalyptic number.

132332123403144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132332123403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220045333536000).

132332123403144 is an abundant number, since it is smaller than the sum of its proper divisors (307758543668856).

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

132332123403144 is a wasteful number, since it uses less digits than its factorization.

132332123403144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553374 (or 2553357 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 132332123403144 its reverse (441304321233231), we get a palindrome (573636444636375).

The spelling of 132332123403144 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, one hundred twenty-three million, four hundred three thousand, one hundred forty-four".