Search a number
-
+
44481589680 = 243511232925261
BaseRepresentation
bin101001011011010011…
…110011000110110000
311020210222221212210110
4221123103303012300
51212044241332210
632233510501320
73133203162633
oct513323630660
9136728855713
1044481589680
1117956774770
128754964840
13426b6b1388
14221d883c1a
15125518a420
hexa5b4f31b0

44481589680 has 320 divisors, whose sum is σ = 162388177920. Its totient is φ = 9958502400.

The previous prime is 44481589667. The next prime is 44481589697. The reversal of 44481589680 is 8698518444.

It is a happy number.

44481589680 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 2×444815896802 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44481589680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1748250 + ... + 1773510.

It is an arithmetic number, because the mean of its divisors is an integer number (507463056).

Almost surely, 244481589680 is an apocalyptic number.

44481589680 is a gapful number since it is divisible by the number (40) 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 44481589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81194088960).

44481589680 is an abundant number, since it is smaller than the sum of its proper divisors (117906588240).

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

44481589680 is a wasteful number, since it uses less digits than its factorization.

44481589680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25340 (or 25334 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 44481589680 in words is "forty-four billion, four hundred eighty-one million, five hundred eighty-nine thousand, six hundred eighty".