Search a number
-
+
44432100334440 = 233357131976473547
BaseRepresentation
bin10100001101001001001111…
…00011101001101101101000
312211022200000110122000211000
422012210213203221231220
521310433420141200230
6234255454120035000
712234053603225550
oct1206444743515550
9184280013560730
1044432100334440
1113180603329455
124b972a4602a60
131ba3c10270760
14ad874cd5c160
15520baa7cab60
hex2869278e9b68

44432100334440 has 1024 divisors, whose sum is σ = 183545749094400. Its totient is φ = 9310056247296.

The previous prime is 44432100334397. The next prime is 44432100334471. The reversal of 44432100334440 is 4443300123444.

44432100334440 is a `hidden beast` number, since 4 + 443 + 2 + 100 + 33 + 44 + 40 = 666.

It is a super-2 number, since 2×444321003344402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44432100334395 and 44432100334404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12526668747 + ... + 12526672293.

It is an arithmetic number, because the mean of its divisors is an integer number (179243895600).

Almost surely, 244432100334440 is an apocalyptic number.

44432100334440 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 44432100334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91772874547200).

44432100334440 is an abundant number, since it is smaller than the sum of its proper divisors (139113648759960).

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

44432100334440 is a wasteful number, since it uses less digits than its factorization.

44432100334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 44432100334440 its reverse (4443300123444), we get a palindrome (48875400457884).

The spelling of 44432100334440 in words is "forty-four trillion, four hundred thirty-two billion, one hundred million, three hundred thirty-four thousand, four hundred forty".