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44501131216 = 24237112713411
BaseRepresentation
bin101001011100011110…
…010101111111010000
311020212100201200202001
4221130132111333100
51212114242144331
632235445403344
73133531242223
oct513436257720
9136770650661
1044501131216
11179668015a3
12875b409554
134272763c09
1422222cd5ba
151256c4a561
hexa5c795fd0

44501131216 has 80 divisors (see below), whose sum is σ = 91962114048. Its totient is φ = 20816611200.

The previous prime is 44501131189. The next prime is 44501131223. The reversal of 44501131216 is 61213110544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3311551 + ... + 3324961.

Almost surely, 244501131216 is an apocalyptic number.

44501131216 is a gapful number since it is divisible by the number (46) 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 44501131216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45981057024).

44501131216 is an abundant number, since it is smaller than the sum of its proper divisors (47460982832).

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

44501131216 is a wasteful number, since it uses less digits than its factorization.

44501131216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13640 (or 13634 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 44501131216 in words is "forty-four billion, five hundred one million, one hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 46 71 92 127 142 184 254 284 368 508 568 1016 1136 1633 2032 2921 3266 5842 6532 9017 11684 13064 13411 18034 23368 26128 26822 36068 46736 53644 72136 107288 144272 207391 214576 308453 414782 616906 829564 952181 1233812 1659128 1703197 1904362 2467624 3318256 3406394 3808724 4935248 6812788 7617448 13625576 15234896 21900163 27251152 39173531 43800326 78347062 87600652 120926987 156694124 175201304 241853974 313388248 350402608 483707948 626776496 967415896 1934831792 2781320701 5562641402 11125282804 22250565608 44501131216