Search a number
-
+
44277477244 = 22711313591549
BaseRepresentation
bin101001001111001001…
…001010111101111100
311020021202212220011121
4221033021022331330
51211140013232434
632201340000324
73125144226640
oct511711127574
9136252786147
1044277477244
1117861533000
1286b85300a4
1342383172a0
142200710c20
1512422bc7b4
hexa4f24af7c

44277477244 has 192 divisors, whose sum is σ = 106743168000. Its totient is φ = 15643964160.

The previous prime is 44277477217. The next prime is 44277477271.

44277477244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44277477217) and next prime (44277477271).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44277477191 and 44277477200.

It is a congruent number.

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, 28583782 + ... + 28585330.

It is an arithmetic number, because the mean of its divisors is an integer number (555954000).

Almost surely, 244277477244 is an apocalyptic number.

44277477244 is a gapful number since it is divisible by the number (44) 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 44277477244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371584000).

44277477244 is an abundant number, since it is smaller than the sum of its proper divisors (62465690756).

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

44277477244 is a wasteful number, since it uses less digits than its factorization.

44277477244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1641 counting only the distinct ones).

The product of its digits is 9834496, while the sum is 52.

The spelling of 44277477244 in words is "forty-four billion, two hundred seventy-seven million, four hundred seventy-seven thousand, two hundred forty-four".