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307940990544 = 243411416229
BaseRepresentation
bin1000111101100101011…
…01101001111001010000
31002102211221022010220000
410132302231221321100
520021130343144134
6353244404050000
731151031142305
oct4366255517120
91072757263800
10307940990544
11109662730000
124b820993900
1323067080895
1410c93a490ac
1580248eee99
hex47b2b69e50

307940990544 has 250 divisors, whose sum is σ = 980451946650. Its totient is φ = 93309701760.

The previous prime is 307940990527. The next prime is 307940990549. The reversal of 307940990544 is 445099049703.

307940990544 is a `hidden beast` number, since 3 + 0 + 7 + 9 + 4 + 0 + 9 + 90 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306043516944 + 1897473600 = 553212^2 + 43560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307940990549) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 18966622 + ... + 18982850.

Almost surely, 2307940990544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307940990544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490225973325).

307940990544 is an abundant number, since it is smaller than the sum of its proper divisors (672510956106).

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

307940990544 is an equidigital number, since it uses as much as digits as its factorization.

307940990544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16293 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 307940990544 in words is "three hundred seven billion, nine hundred forty million, nine hundred ninety thousand, five hundred forty-four".