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44161642160 = 2457116347699
BaseRepresentation
bin101001001000001111…
…010010111010110000
311012222200220212022022
4221020033102322300
51210420340022120
632142041131012
73122236523216
oct511017227260
9135880825268
1044161642160
1117802106429
128685789a68
13421a31b00c
1421cd19acb6
15123703b025
hexa483d2eb0

44161642160 has 80 divisors (see below), whose sum is σ = 104762937600. Its totient is φ = 17308650240.

The previous prime is 44161642141. The next prime is 44161642181. The reversal of 44161642160 is 6124616144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 44161642160.

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, 901991 + ... + 949689.

It is an arithmetic number, because the mean of its divisors is an integer number (1309536720).

Almost surely, 244161642160 is an apocalyptic number.

44161642160 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 44161642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52381468800).

44161642160 is an abundant number, since it is smaller than the sum of its proper divisors (60601295440).

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

44161642160 is a wasteful number, since it uses less digits than its factorization.

44161642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47946 (or 47940 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 44161642160 in words is "forty-four billion, one hundred sixty-one million, six hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 163 284 326 355 568 652 710 815 1136 1304 1420 1630 2608 2840 3260 5680 6520 11573 13040 23146 46292 47699 57865 92584 95398 115730 185168 190796 231460 238495 381592 462920 476990 763184 925840 953980 1907960 3386629 3815920 6773258 7774937 13546516 15549874 16933145 27093032 31099748 33866290 38874685 54186064 62199496 67732580 77749370 124398992 135465160 155498740 270930320 310997480 552020527 621994960 1104041054 2208082108 2760102635 4416164216 5520205270 8832328432 11040410540 22080821080 44161642160