Search a number
-
+
44914881024 = 293413227367
BaseRepresentation
bin101001110101001000…
…101011001000000000
311021221012021100210000
4221311020223020000
51213441202143044
632344505440000
73150014121666
oct516510531000
9137835240700
1044914881024
1118059308992
128855aa0000
13430a3aaaa0
142261232c36
15127d227d69
hexa7522b200

44914881024 has 400 divisors, whose sum is σ = 145402443648. Its totient is φ = 13721591808.

The previous prime is 44914880981. The next prime is 44914881079. The reversal of 44914881024 is 42018841944.

It is a zygodrome in base 12.

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 39 ways as a sum of consecutive naturals, for example, 122383689 + ... + 122384055.

Almost surely, 244914881024 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 44914881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72701221824).

44914881024 is an abundant number, since it is smaller than the sum of its proper divisors (100487562624).

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

44914881024 is a wasteful number, since it uses less digits than its factorization.

44914881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 44914881024 in words is "forty-four billion, nine hundred fourteen million, eight hundred eighty-one thousand, twenty-four".