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132433430144130 = 233529791032078603
BaseRepresentation
bin11110000111001010001111…
…100011110110010010000010
3122100220111211110010210021000
4132013022033203312102002
5114324242131104103010
61145355024455112430
736615666566512563
oct3607121743662202
9570814743123230
10132433430144130
113921977a8694a5
1212a2a59b972716
1358b855a36b25b
14249bb52a3216a
151049d6dca77c0
hex78728f8f6482

132433430144130 has 256 divisors, whose sum is σ = 373550082048000. Its totient is φ = 33339312744192.

The previous prime is 132433430144069. The next prime is 132433430144137. The reversal of 132433430144130 is 31441034334231.

132433430144130 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 334 + 301 + 4 + 4 + 13 + 0 = 666.

It is a super-2 number, since 2×1324334301441302 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132433430144137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62673409 + ... + 64752011.

It is an arithmetic number, because the mean of its divisors is an integer number (1459180008000).

Almost surely, 2132433430144130 is an apocalyptic number.

132433430144130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132433430144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186775041024000).

132433430144130 is an abundant number, since it is smaller than the sum of its proper divisors (241116651903870).

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

132433430144130 is a wasteful number, since it uses less digits than its factorization.

132433430144130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078830 (or 2078824 counting only the distinct ones).

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

Adding to 132433430144130 its reverse (31441034334231), we get a palindrome (163874464478361).

The spelling of 132433430144130 in words is "one hundred thirty-two trillion, four hundred thirty-three billion, four hundred thirty million, one hundred forty-four thousand, one hundred thirty".