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44804080000 = 27545310567
BaseRepresentation
bin101001101110100010…
…000000000110000000
311021122110210002100101
4221232202000012000
51213224321030000
632325510532144
73144200252641
oct515642000600
9137573702311
1044804080000
111800180a499
128824967054
1342c0454c54
14225062d6c8
15127363ce6a
hexa6e880180

44804080000 has 160 divisors (see below), whose sum is σ = 113652182160. Its totient is φ = 17581824000.

The previous prime is 44804079973. The next prime is 44804080001. The reversal of 44804080000 is 8040844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44804080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4234717 + ... + 4245283.

Almost surely, 244804080000 is an apocalyptic number.

44804080000 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 44804080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56826091080).

44804080000 is an abundant number, since it is smaller than the sum of its proper divisors (68848102160).

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

44804080000 is an equidigital number, since it uses as much as digits as its factorization.

44804080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 44804080000 in words is "forty-four billion, eight hundred four million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 128 160 200 212 250 265 320 400 424 500 530 625 640 800 848 1000 1060 1250 1325 1600 1696 2000 2120 2500 2650 3200 3392 4000 4240 5000 5300 6625 6784 8000 8480 10000 10567 10600 13250 16000 16960 20000 21134 21200 26500 33125 33920 40000 42268 42400 52835 53000 66250 80000 84536 84800 105670 106000 132500 169072 169600 211340 212000 264175 265000 338144 422680 424000 528350 530000 560051 676288 845360 848000 1056700 1060000 1120102 1320875 1352576 1690720 2113400 2120000 2240204 2641750 2800255 3381440 4226800 4240000 4480408 5283500 5600510 6604375 6762880 8453600 8960816 10567000 11201020 13208750 14001275 16907200 17921632 21134000 22402040 26417500 28002550 33814400 35843264 42268000 44804080 52835000 56005100 70006375 71686528 84536000 89608160 105670000 112010200 140012750 169072000 179216320 211340000 224020400 280025500 350031875 358432640 422680000 448040800 560051000 700063750 845360000 896081600 1120102000 1400127500 1792163200 2240204000 2800255000 4480408000 5600510000 8960816000 11201020000 22402040000 44804080000