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140089098240 = 21734571329
BaseRepresentation
bin1000001001110111110…
…1100000000000000000
3111101121001100112120000
42002131331200000000
54243400302120430
6144204523320000
713056352454640
oct2023575400000
9441531315500
10140089098240
1154458709a53
1223197680000
1310297189650
146acd3c2520
15399d970e60
hex209df60000

140089098240 has 1440 divisors, whose sum is σ = 639461148480. Its totient is φ = 28538044416.

The previous prime is 140089098181. The next prime is 140089098287. The reversal of 140089098240 is 42890980041.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4830658546 + ... + 4830658574.

It is an arithmetic number, because the mean of its divisors is an integer number (444070242).

Almost surely, 2140089098240 is an apocalyptic number.

140089098240 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 140089098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319730574240).

140089098240 is an abundant number, since it is smaller than the sum of its proper divisors (499372050240).

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

140089098240 is an frugal number, since it uses more digits than its factorization.

140089098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 140089098240 in words is "one hundred forty billion, eighty-nine million, ninety-eight thousand, two hundred forty".