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44128147168 = 2572137205423
BaseRepresentation
bin101001000110001111…
…100001011011100000
311012220100220010211001
4221012033201123200
51210333301202133
632134443201344
73121352030200
oct510617413340
9135810803731
1044128147168
1117795209116
128676516254
1342133c12b1
1421c895c400
15123412187d
hexa463e16e0

44128147168 has 72 divisors (see below), whose sum is σ = 101799506592. Its totient is φ = 18773927424.

The previous prime is 44128147153. The next prime is 44128147187. The reversal of 44128147168 is 86174182144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112105 + ... + 317527.

It is an arithmetic number, because the mean of its divisors is an integer number (1413882036).

Almost surely, 244128147168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44128147168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50899753296).

44128147168 is an abundant number, since it is smaller than the sum of its proper divisors (57671359424).

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

44128147168 is a wasteful number, since it uses less digits than its factorization.

44128147168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205584 (or 205569 counting only the distinct ones).

The product of its digits is 344064, while the sum is 46.

It can be divided in two parts, 44128147 and 168, that added together give a triangular number (44128315 = T9394).

The spelling of 44128147168 in words is "forty-four billion, one hundred twenty-eight million, one hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 137 196 224 274 392 548 784 959 1096 1568 1918 2192 3836 4384 6713 7672 13426 15344 26852 30688 53704 107408 205423 214816 410846 821692 1437961 1643384 2875922 3286768 5751844 6573536 10065727 11503688 20131454 23007376 28142951 40262908 46014752 56285902 80525816 112571804 161051632 197000657 225143608 322103264 394001314 450287216 788002628 900574432 1379004599 1576005256 2758009198 3152010512 5516018396 6304021024 11032036792 22064073584 44128147168