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3041224079328 = 253461102118839
BaseRepresentation
bin101100010000010111000…
…101001011011111100000
3101202201221010122111010000
4230100113011023133200
5344311411331014303
610245041414340000
7432502240102221
oct54202705133740
911681833574100
103041224079328
11a72859787726
124114ab95a600
13190a2b387a56
14a72a5ca1248
1554198920da3
hex2c41714b7e0

3041224079328 has 240 divisors, whose sum is σ = 9100167864480. Its totient is φ = 996093158400.

The previous prime is 3041224079317. The next prime is 3041224079339. The reversal of 3041224079328 is 8239704221403.

3041224079328 is a `hidden beast` number, since 3 + 0 + 4 + 12 + 240 + 79 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (3041224079317) and next prime (3041224079339).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161422933 + ... + 161441771.

It is an arithmetic number, because the mean of its divisors is an integer number (37917366102).

Almost surely, 23041224079328 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 3041224079328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550083932240).

3041224079328 is an abundant number, since it is smaller than the sum of its proper divisors (6058943785152).

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

3041224079328 is a wasteful number, since it uses less digits than its factorization.

3041224079328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19943 (or 19926 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3041224079328 in words is "three trillion, forty-one billion, two hundred twenty-four million, seventy-nine thousand, three hundred twenty-eight".