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12142923840 = 2637517351
BaseRepresentation
bin10110100111100011…
…00101000001000000
31011100021001110000000
423103301211001000
5144332042030330
65324533000000
7606625102215
oct132361450100
934307043000
1012142923840
115171400453
12242a783000
1311b6956948
148329c3b0c
154b10a3560
hex2d3c65040

12142923840 has 224 divisors, whose sum is σ = 43368894720. Its totient is φ = 3237926400.

The previous prime is 12142923797. The next prime is 12142923841. The reversal of 12142923840 is 4832924121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12142923795 and 12142923804.

It is not an unprimeable number, because it can be changed into a prime (12142923841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691165 + ... + 708515.

Almost surely, 212142923840 is an apocalyptic number.

12142923840 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 12142923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684447360).

12142923840 is an abundant number, since it is smaller than the sum of its proper divisors (31225970880).

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

12142923840 is an frugal number, since it uses more digits than its factorization.

12142923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17389 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12142923840 in words is "twelve billion, one hundred forty-two million, nine hundred twenty-three thousand, eight hundred forty".