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140953392000 = 2733531721129
BaseRepresentation
bin1000001101000101111…
…0100001001110000000
3111110211021200012201000
42003101132201032000
54302133032021000
6144430400212000
713116646030551
oct2032136411600
9443737605630
10140953392000
1154861573713
122339900a000
13103a4260985
146b720c6328
1539ee798000
hex20d17a1380

140953392000 has 768 divisors, whose sum is σ = 552003192000. Its totient is φ = 35345203200.

The previous prime is 140953391977. The next prime is 140953392007. The reversal of 140953392000 is 293359041.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140953392007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124847436 + ... + 124848564.

Almost surely, 2140953392000 is an apocalyptic number.

140953392000 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 140953392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276001596000).

140953392000 is an abundant number, since it is smaller than the sum of its proper divisors (411049800000).

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

140953392000 is a wasteful number, since it uses less digits than its factorization.

140953392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 140953392000 in words is "one hundred forty billion, nine hundred fifty-three million, three hundred ninety-two thousand".