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41444903485440 = 22232571319127
BaseRepresentation
bin10010110110001101001001…
…10000000000000000000000
312102202002112120202012202200
421123012210300000000000
520413013130243013230
6224051305324313200
711505203226034350
oct1133064460000000
9172662476665680
1041444903485440
1112229759607604
1247943723a2800
131a183120bc560
14a33d305ccb60
154bd1250a3160
hex25b1a4c00000

41444903485440 has 2208 divisors, whose sum is σ = 187604149125120. Its totient is φ = 8218956791808.

The previous prime is 41444903485429. The next prime is 41444903485441. The reversal of 41444903485440 is 4458430944414.

41444903485440 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 4 + 90 + 3 + 4 + 8 + 544 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (41444903485441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326337822657 + ... + 326337822783.

Almost surely, 241444903485440 is an apocalyptic number.

41444903485440 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 41444903485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93802074562560).

41444903485440 is an abundant number, since it is smaller than the sum of its proper divisors (146159245639680).

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

41444903485440 is an equidigital number, since it uses as much as digits as its factorization.

41444903485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 41444903485440 in words is "forty-one trillion, four hundred forty-four billion, nine hundred three million, four hundred eighty-five thousand, four hundred forty".