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132401342430 = 23257210160861
BaseRepresentation
bin111101101001110111…
…1000010011111011110
3110122202021111002011100
41323103233002133132
54132124220424210
6140454020133530
712365012561460
oct1732357023736
9418667432140
10132401342430
1151173119255
12217b0b372a6
13c640540506
1465a0398130
15369daa25c0
hex1ed3bc27de

132401342430 has 48 divisors (see below), whose sum is σ = 393421133664. Its totient is φ = 30263163840.

The previous prime is 132401342401. The next prime is 132401342473. The reversal of 132401342430 is 34243104231.

132401342430 is a `hidden beast` number, since 13 + 2 + 401 + 3 + 4 + 243 + 0 = 666.

It is a super-2 number, since 2×1324013424302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132401342394 and 132401342403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105079801 + ... + 105081060.

It is an arithmetic number, because the mean of its divisors is an integer number (8196273618).

Almost surely, 2132401342430 is an apocalyptic number.

132401342430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132401342430 is an abundant number, since it is smaller than the sum of its proper divisors (261019791234).

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

132401342430 is a wasteful number, since it uses less digits than its factorization.

132401342430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210160881 (or 210160878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132401342430 its reverse (34243104231), we get a palindrome (166644446661).

The spelling of 132401342430 in words is "one hundred thirty-two billion, four hundred one million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 210160861 420321722 630482583 1050804305 1260965166 1471126027 1891447749 2101608610 2942252054 3152412915 3782895498 4413378081 6304825830 7355630135 8826756162 9457238745 13240134243 14711260270 18914477490 22066890405 26480268486 44133780810 66200671215 132401342430