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20314716240 = 24357136713883
BaseRepresentation
bin10010111010110110…
…011111100001010000
31221102202201111202210
4102322312133201100
5313101031404430
613155450512120
71316263144650
oct227266374120
957382644683
1020314716240
118685144a95
123b2b435640
131bb9958b70
14daa00a360
157dd6d52b0
hex4bad9f850

20314716240 has 320 divisors, whose sum is σ = 78670964736. Its totient is φ = 4221904896.

The previous prime is 20314716197. The next prime is 20314716277. The reversal of 20314716240 is 4261741302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20314716198 and 20314716207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1456339 + ... + 1470221.

Almost surely, 220314716240 is an apocalyptic number.

20314716240 is a gapful number since it is divisible by the number (20) 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 20314716240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39335482368).

20314716240 is an abundant number, since it is smaller than the sum of its proper divisors (58356248496).

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

20314716240 is a wasteful number, since it uses less digits than its factorization.

20314716240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 20314716240 in words is "twenty billion, three hundred fourteen million, seven hundred sixteen thousand, two hundred forty".