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132244203010040 = 2351137743101910729
BaseRepresentation
bin11110000100011010000000…
…101111100111011111111000
3122100020102101212220101121022
4132010122000233213133320
5114313142111432310130
61145132052001002012
736566220426433112
oct3604320057473770
9570212355811538
10132244203010040
11391564a6aaa970
12129b9990023308
1358a3761baba64
1424929215b83b2
151044e964a87e5
hex784680be77f8

132244203010040 has 256 divisors, whose sum is σ = 334179789696000. Its totient is φ = 46675924807680.

The previous prime is 132244203010033. The next prime is 132244203010061. The reversal of 132244203010040 is 40010302442231.

It is a junction number, because it is equal to n+sod(n) for n = 132244203009991 and 132244203010009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12325859396 + ... + 12325870124.

It is an arithmetic number, because the mean of its divisors is an integer number (1305389803500).

Almost surely, 2132244203010040 is an apocalyptic number.

132244203010040 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 132244203010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167089894848000).

132244203010040 is an abundant number, since it is smaller than the sum of its proper divisors (201935586685960).

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

132244203010040 is a wasteful number, since it uses less digits than its factorization.

132244203010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 132244203010040 its reverse (40010302442231), we get a palindrome (172254505452271).

The spelling of 132244203010040 in words is "one hundred thirty-two trillion, two hundred forty-four billion, two hundred three million, ten thousand, forty".