Search a number
-
+
44007631719912 = 233277112163101111
BaseRepresentation
bin10100000000110010100110…
…10000011000110111101000
312202211002101112001020211200
422000121103100120313220
521232010112210014122
6233332454340324200
712161306065436130
oct1200312320306750
9182732345036750
1044007631719912
1113027593913883
124b28b829a3660
131b72b9551c7a3
14ac1da3217ac0
15514b15bc75ac
hex280653418de8

44007631719912 has 192 divisors, whose sum is σ = 138145329653760. Its totient is φ = 12395374185600.

The previous prime is 44007631719911. The next prime is 44007631719937. The reversal of 44007631719912 is 21991713670044.

44007631719912 is a `hidden beast` number, since 4 + 400 + 7 + 6 + 31 + 7 + 199 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (44007631719911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435190237 + ... + 435291347.

It is an arithmetic number, because the mean of its divisors is an integer number (719506925280).

Almost surely, 244007631719912 is an apocalyptic number.

44007631719912 is a gapful number since it is divisible by the number (42) 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 44007631719912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69072664826880).

44007631719912 is an abundant number, since it is smaller than the sum of its proper divisors (94137697933848).

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

44007631719912 is a wasteful number, since it uses less digits than its factorization.

44007631719912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113364 (or 113357 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 44007631719912 in words is "forty-four trillion, seven billion, six hundred thirty-one million, seven hundred nineteen thousand, nine hundred twelve".