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140187220992 = 2103571341151
BaseRepresentation
bin1000001010001111001…
…1110011110000000000
3111101211212222200200000
42002203303303300000
54244100412032432
6144222350400000
713061653501050
oct2024363636000
9441755880600
10140187220992
11544a9039035
1223204500000
13102b15c3850
146adc445560
1539a73a457c
hex20a3cf3c00

140187220992 has 1056 divisors, whose sum is σ = 532758180864. Its totient is φ = 35831808000.

The previous prime is 140187220969. The next prime is 140187221021. The reversal of 140187220992 is 299022781041.

140187220992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1401872209923 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 928392117 + ... + 928392267.

Almost surely, 2140187220992 is an apocalyptic number.

140187220992 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 140187220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266379090432).

140187220992 is an abundant number, since it is smaller than the sum of its proper divisors (392570959872).

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

140187220992 is a wasteful number, since it uses less digits than its factorization.

140187220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 140187220992 in words is "one hundred forty billion, one hundred eighty-seven million, two hundred twenty thousand, nine hundred ninety-two".