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40944848718048 = 25311219221134621
BaseRepresentation
bin10010100111101001101110…
…01010011100100011100000
312100222021210220111000210020
421103310313022130203200
520331320022232434143
6223025445343233440
711424111343453212
oct1123646712344340
9170867726430706
1040944848718048
1112056681742600
124713476ba8880
1319b010c807452
14a17a53dd05b2
154b0109752883
hex253d3729c8e0

40944848718048 has 432 divisors, whose sum is σ = 124770547713168. Its totient is φ = 11746396569600.

The previous prime is 40944848718031. The next prime is 40944848718083. The reversal of 40944848718048 is 84081784844904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8860601178 + ... + 8860605798.

It is an arithmetic number, because the mean of its divisors is an integer number (288820712299).

Almost surely, 240944848718048 is an apocalyptic number.

40944848718048 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 40944848718048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62385273856584).

40944848718048 is an abundant number, since it is smaller than the sum of its proper divisors (83825698995120).

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

40944848718048 is a wasteful number, since it uses less digits than its factorization.

40944848718048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 264241152, while the sum is 69.

The spelling of 40944848718048 in words is "forty trillion, nine hundred forty-four billion, eight hundred forty-eight million, seven hundred eighteen thousand, forty-eight".