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44136141840 = 2434576011619
BaseRepresentation
bin101001000110101110…
…000001010000010000
311012220220221022110000
4221012232001100100
51210342323014330
632135330410000
73121510005240
oct510656012020
9135826838400
1044136141840
111779977968a
128679130900
134214c6017b
1421c9a3db20
151234ba0560
hexa46b81410

44136141840 has 400 divisors, whose sum is σ = 175590011520. Its totient is φ = 10065254400.

The previous prime is 44136141839. The next prime is 44136141857. The reversal of 44136141840 is 4814163144.

It is a happy number.

44136141840 is a `hidden beast` number, since 4 + 413 + 61 + 4 + 184 + 0 = 666.

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 = 44136141795 and 44136141804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27260551 + ... + 27262169.

Almost surely, 244136141840 is an apocalyptic number.

44136141840 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 44136141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87795005760).

44136141840 is an abundant number, since it is smaller than the sum of its proper divisors (131453869680).

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

44136141840 is a wasteful number, since it uses less digits than its factorization.

44136141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 44136141840 in words is "forty-four billion, one hundred thirty-six million, one hundred forty-one thousand, eight hundred forty".