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140172291000 = 233253721916729
BaseRepresentation
bin1000001010001011101…
…0110110101110111000
3111101210211220011120100
42002202322312232320
54244033101303000
6144221054355400
713061412546300
oct2024272665670
9441724804510
10140172291000
11544a06709a5
12231bb4bbb60
13102ab497031
146ada47a600
1539a5e05a00
hex20a2eb6bb8

140172291000 has 576 divisors, whose sum is σ = 580176324000. Its totient is φ = 30351283200.

The previous prime is 140172290953. The next prime is 140172291001. The reversal of 140172291000 is 192271041.

140172291000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140172291001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8370636 + ... + 8387364.

Almost surely, 2140172291000 is an apocalyptic number.

140172291000 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 140172291000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290088162000).

140172291000 is an abundant number, since it is smaller than the sum of its proper divisors (440004033000).

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

140172291000 is a wasteful number, since it uses less digits than its factorization.

140172291000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16789 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 140172291000 in words is "one hundred forty billion, one hundred seventy-two million, two hundred ninety-one thousand".