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44468106240 = 2103531471987
BaseRepresentation
bin101001011010100000…
…010111010000000000
311020210001120211222210
4221122200113100000
51212032313344430
632232305502120
73132650444415
oct513240272000
9136701524883
1044468106240
111794a0a5428
128750341940
1342689700cc
14221bb7410c
151253dc52b0
hexa5a817400

44468106240 has 352 divisors, whose sum is σ = 150015688704. Its totient is φ = 11225825280.

The previous prime is 44468106203. The next prime is 44468106281. The reversal of 44468106240 is 4260186444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22378527 + ... + 22380513.

Almost surely, 244468106240 is an apocalyptic number.

44468106240 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 44468106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75007844352).

44468106240 is an abundant number, since it is smaller than the sum of its proper divisors (105547582464).

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

44468106240 is a wasteful number, since it uses less digits than its factorization.

44468106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 44468106240 in words is "forty-four billion, four hundred sixty-eight million, one hundred six thousand, two hundred forty".