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3002595381240 = 233572131737197317
BaseRepresentation
bin101011101100011000101…
…000011000111111111000
3101122001020000221022012020
4223230120220120333320
5343143303404144430
610215212343314440
7426634053430200
oct53543050307770
911561200838166
103002595381240
11a584368a7054
12405b0b14ba20
1318a1b3446750
14a547d895400
1553187510b10
hex2bb18a18ff8

3002595381240 has 1536 divisors, whose sum is σ = 12372395777280. Its totient is φ = 575368593408.

The previous prime is 3002595381229. The next prime is 3002595381281. The reversal of 3002595381240 is 421835952003.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3002595381192 and 3002595381201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9471909562 + ... + 9471909878.

Almost surely, 23002595381240 is an apocalyptic number.

3002595381240 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 3002595381240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186197888640).

3002595381240 is an abundant number, since it is smaller than the sum of its proper divisors (9369800396040).

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

3002595381240 is a wasteful number, since it uses less digits than its factorization.

3002595381240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 3002595381240 in words is "three trillion, two billion, five hundred ninety-five million, three hundred eighty-one thousand, two hundred forty".