Search a number
-
+
4447145430 = 23557213317
BaseRepresentation
bin1000010010001001…
…00000110111010110
3102110221002101200000
410021010200313112
533101432123210
62013141432130
7215130053400
oct41104406726
912427071600
104447145430
111982330202
12a4140b646
1355b45c000
143028abb70
151b064cac0
hex109120dd6

4447145430 has 576 divisors, whose sum is σ = 15999197760. Its totient is φ = 883104768.

The previous prime is 4447145399. The next prime is 4447145471. The reversal of 4447145430 is 345417444.

4447145430 is a `hidden beast` number, since 4 + 44 + 71 + 4 + 543 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261596782 + ... + 261596798.

It is an arithmetic number, because the mean of its divisors is an integer number (27776385).

Almost surely, 24447145430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4447145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999598880).

4447145430 is an abundant number, since it is smaller than the sum of its proper divisors (11552052330).

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

4447145430 is a wasteful number, since it uses less digits than its factorization.

4447145430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4447145430 is about 66686.9209815538. The cubic root of 4447145430 is about 1644.4743755999.

The spelling of 4447145430 in words is "four billion, four hundred forty-seven million, one hundred forty-five thousand, four hundred thirty".