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140892987312 = 243272113771691
BaseRepresentation
bin1000001100110111100…
…0000101111110110000
3111110200002000100001100
42003031320011332300
54302022101043222
6144420401404400
713115313426600
oct2031570057660
9443602010040
10140892987312
1154830466790
1223380939700
13103948a175c
146b68080c00
1539e93154ac
hex20cde05fb0

140892987312 has 720 divisors, whose sum is σ = 521895239424. Its totient is φ = 35054208000.

The previous prime is 140892987289. The next prime is 140892987377. The reversal of 140892987312 is 213789298041.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203896887 + ... + 203897577.

Almost surely, 2140892987312 is an apocalyptic number.

140892987312 is a gapful number since it is divisible by the number (12) 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 140892987312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260947619712).

140892987312 is an abundant number, since it is smaller than the sum of its proper divisors (381002252112).

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

140892987312 is a wasteful number, since it uses less digits than its factorization.

140892987312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 140892987312 in words is "one hundred forty billion, eight hundred ninety-two million, nine hundred eighty-seven thousand, three hundred twelve".