Search a number
-
+
44280444138048 = 26323124203102461
BaseRepresentation
bin10100001000101110110000…
…01001001011001001000000
312210210011120021202000121100
422010113120021023021000
521300442322144404143
6234102053305254400
712220104453641436
oct1204273011131100
9183704507660540
1044280444138048
111312225a366458
124b71a1b194400
131b92821840941
14ad1283648d56
1551bc815eb6d3
hex2845d824b240

44280444138048 has 168 divisors, whose sum is σ = 131022844782336. Its totient is φ = 14283284659200.

The previous prime is 44280444138031. The next prime is 44280444138053. The reversal of 44280444138048 is 84083144408244.

It is a happy number.

44280444138048 is a `hidden beast` number, since 4 + 4 + 2 + 80 + 4 + 441 + 3 + 80 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44280444137985 and 44280444138003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432117538 + ... + 432219998.

Almost surely, 244280444138048 is an apocalyptic number.

44280444138048 is a gapful number since it is divisible by the number (48) 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 44280444138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65511422391168).

44280444138048 is an abundant number, since it is smaller than the sum of its proper divisors (86742400644288).

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

44280444138048 is a wasteful number, since it uses less digits than its factorization.

44280444138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126713 (or 126700 counting only the distinct ones).

The product of its (nonzero) digits is 12582912, while the sum is 54.

The spelling of 44280444138048 in words is "forty-four trillion, two hundred eighty billion, four hundred forty-four million, one hundred thirty-eight thousand, forty-eight".