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44894140416 = 211328927367
BaseRepresentation
bin101001110011111001…
…100011100000000000
311021212202020122000100
4221303321203200000
51213420344443131
632342445122400
73146342616516
oct516371434000
9137782218010
1044894140416
1118048632194
12884ab59400
134305cc8538
14225c5944b6
15127b4cc7e6
hexa73e63800

44894140416 has 144 divisors (see below), whose sum is σ = 131124193200. Its totient is φ = 14796029952.

The previous prime is 44894140391. The next prime is 44894140441. The reversal of 44894140416 is 61404149844.

It is a happy number.

44894140416 is a `hidden beast` number, since 4 + 4 + 8 + 94 + 140 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (44894140391) and next prime (44894140441).

It is a tau number, because it is divible by the number of its divisors (144).

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, 1626765 + ... + 1654131.

It is an arithmetic number, because the mean of its divisors is an integer number (910584675).

Almost surely, 244894140416 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 44894140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65562096600).

44894140416 is an abundant number, since it is smaller than the sum of its proper divisors (86230052784).

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

44894140416 is a wasteful number, since it uses less digits than its factorization.

44894140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27484 (or 27461 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 44894140416 in words is "forty-four billion, eight hundred ninety-four million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1024 1068 1152 1424 1536 1602 2048 2136 2304 2848 3072 3204 4272 4608 5696 6144 6408 8544 9216 11392 12816 17088 18432 22784 25632 27367 34176 45568 51264 54734 68352 82101 91136 102528 109468 136704 164202 182272 205056 218936 246303 273408 328404 410112 437872 492606 546816 656808 820224 875744 985212 1313616 1640448 1751488 1970424 2435663 2627232 3502976 3940848 4871326 5254464 7005952 7306989 7881696 9742652 10508928 14011904 14613978 15763392 19485304 21017856 21920967 28023808 29227956 31526784 38970608 42035712 43841934 56047616 58455912 63053568 77941216 84071424 87683868 116911824 126107136 155882432 168142848 175367736 233823648 252214272 311764864 350735472 467647296 504428544 623529728 701470944 935294592 1247059456 1402941888 1870589184 2494118912 2805883776 3741178368 4988237824 5611767552 7482356736 11223535104 14964713472 22447070208 44894140416