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2912140640304 = 2434719233719853
BaseRepresentation
bin101010011000001001000…
…110111100000000110000
3101022101202002101100210000
4222120021012330000300
5340203031000442204
610105452520310000
7420252363010260
oct52301106740060
911271662340700
102912140640304
11a23039521405
123b0486012300
131817c93578bc
14a0d3c4237a0
1550b412ab039
hex2a6091bc030

2912140640304 has 800 divisors, whose sum is σ = 10867005895680. Its totient is φ = 733562210304.

The previous prime is 2912140640293. The next prime is 2912140640351. The reversal of 2912140640304 is 4030460412192.

2912140640304 is a `hidden beast` number, since 2 + 9 + 1 + 2 + 1 + 4 + 0 + 640 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×29121406403042 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146675242 + ... + 146695094.

Almost surely, 22912140640304 is an apocalyptic number.

2912140640304 is a gapful number since it is divisible by the number (24) 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 2912140640304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433502947840).

2912140640304 is an abundant number, since it is smaller than the sum of its proper divisors (7954865255376).

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

2912140640304 is a wasteful number, since it uses less digits than its factorization.

2912140640304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959 (or 19944 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2912140640304 in words is "two trillion, nine hundred twelve billion, one hundred forty million, six hundred forty thousand, three hundred four".