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244374990720 = 27357123714699
BaseRepresentation
bin1110001110010111100…
…0100110111110000000
3212100202220122210000020
43203211320212332000
513000434444200340
6304133032053440
723440561101540
oct3434570467600
9770686583006
10244374990720
1194703347553
123b440834280
131a0768b9233
14bb83737320
1565540a49d0
hex38e5e26f80

244374990720 has 256 divisors, whose sum is σ = 891003456000. Its totient is φ = 55808188416.

The previous prime is 244374990679. The next prime is 244374990817. The reversal of 244374990720 is 27099473442.

244374990720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2443749907202 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 16617931 + ... + 16632629.

It is an arithmetic number, because the mean of its divisors is an integer number (3480482250).

Almost surely, 2244374990720 is an apocalyptic number.

244374990720 is a gapful number since it is divisible by the number (20) 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 244374990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445501728000).

244374990720 is an abundant number, since it is smaller than the sum of its proper divisors (646628465280).

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

244374990720 is a wasteful number, since it uses less digits than its factorization.

244374990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15965 (or 15953 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 244374990720 in words is "two hundred forty-four billion, three hundred seventy-four million, nine hundred ninety thousand, seven hundred twenty".