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132043294079424 = 26337137131737309
BaseRepresentation
bin11110000001011110111001…
…101000110111100111000000
3122022112012211012022020201000
4132001132321220313213000
5114301344131241020144
61144455504001212000
736545545630623450
oct3601367150674700
9568465735266630
10132043294079424
1139089279167742
1212986a60031000
13588a82448a320
142486d028d3d60
15103eb38341769
hex7817b9a379c0

132043294079424 has 896 divisors, whose sum is σ = 486033943449600. Its totient is φ = 34224890757120.

The previous prime is 132043294079401. The next prime is 132043294079429. The reversal of 132043294079424 is 424970492340231.

132043294079424 is a `hidden beast` number, since 1 + 3 + 20 + 43 + 2 + 94 + 0 + 79 + 424 = 666.

132043294079424 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 2×1320432940794242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132043294079429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3539162082 + ... + 3539199390.

It is an arithmetic number, because the mean of its divisors is an integer number (542448597600).

Almost surely, 2132043294079424 is an apocalyptic number.

132043294079424 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 132043294079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243016971724800).

132043294079424 is an abundant number, since it is smaller than the sum of its proper divisors (353990649370176).

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

132043294079424 is a wasteful number, since it uses less digits than its factorization.

132043294079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37738 (or 37722 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 132043294079424 in words is "one hundred thirty-two trillion, forty-three billion, two hundred ninety-four million, seventy-nine thousand, four hundred twenty-four".