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39241514340 = 22345719182129
BaseRepresentation
bin100100100010111110…
…011111110101100100
310202021210211110210000
4210202332133311210
51120331311424330
630005521501300
72556304240230
oct444276376544
9122253743700
1039241514340
11157078a2596
127731aa1830
133914ba6592
141c8396b5c0
15104a110560
hex922f9fd64

39241514340 has 240 divisors, whose sum is σ = 148093545600. Its totient is φ = 8497363968.

The previous prime is 39241514327. The next prime is 39241514369. The reversal of 39241514340 is 4341514293.

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

It is a junction number, because it is equal to n+sod(n) for n = 39241514295 and 39241514304.

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, 124396 + ... + 306524.

It is an arithmetic number, because the mean of its divisors is an integer number (617056440).

Almost surely, 239241514340 is an apocalyptic number.

39241514340 is a gapful number since it is divisible by the number (30) 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 39241514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74046772800).

39241514340 is an abundant number, since it is smaller than the sum of its proper divisors (108852031260).

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

39241514340 is a wasteful number, since it uses less digits than its factorization.

39241514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182176 (or 182165 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 39241514340 in words is "thirty-nine billion, two hundred forty-one million, five hundred fourteen thousand, three hundred forty".