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132434144452640 = 2554352151017243
BaseRepresentation
bin11110000111001010111010…
…001000101110000000100000
3122100220120200020020102022202
4132013022322020232000200
5114324300111434441030
61145355223413152332
736616023362156642
oct3607127210560040
9570816606212282
10132434144452640
113921a006aa1008
1212a2a75b02b6a8
1358b864234a304
14249bbbd852892
151049db1854745
hex7872ba22e020

132434144452640 has 192 divisors, whose sum is σ = 320873517562752. Its totient is φ = 51625147392000.

The previous prime is 132434144452639. The next prime is 132434144452663. The reversal of 132434144452640 is 46254441434231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18284428859 + ... + 18284436101.

It is an arithmetic number, because the mean of its divisors is an integer number (1671216237306).

Almost surely, 2132434144452640 is an apocalyptic number.

132434144452640 is a gapful number since it is divisible by the number (10) 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 132434144452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160436758781376).

132434144452640 is an abundant number, since it is smaller than the sum of its proper divisors (188439373110112).

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

132434144452640 is a wasteful number, since it uses less digits than its factorization.

132434144452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 47.

Adding to 132434144452640 its reverse (46254441434231), we get a palindrome (178688585886871).

The spelling of 132434144452640 in words is "one hundred thirty-two trillion, four hundred thirty-four billion, one hundred forty-four million, four hundred fifty-two thousand, six hundred forty".