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5444105104000 = 2753888738287
BaseRepresentation
bin100111100111000110111…
…1100110110101010000000
3201021110012001012220221101
41033032031330312222000
51203144011401312000
615324553134104144
71101215666601163
oct117161574665200
921243161186841
105444105104000
111809917449332
1273b12b94b054
133064b90b6284
1414b6d33c9ada
15969311d8e6a
hex4f38df36a80

5444105104000 has 128 divisors (see below), whose sum is σ = 13537282936320. Its totient is φ = 2177340134400.

The previous prime is 5444105103959. The next prime is 5444105104013. The reversal of 5444105104000 is 4015014445.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5444105104000.

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, 142172857 + ... + 142211143.

It is an arithmetic number, because the mean of its divisors is an integer number (105760022940).

Almost surely, 25444105104000 is an apocalyptic number.

5444105104000 is a gapful number since it is divisible by the number (50) 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 5444105104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768641468160).

5444105104000 is an abundant number, since it is smaller than the sum of its proper divisors (8093177832320).

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

5444105104000 is an equidigital number, since it uses as much as digits as its factorization.

5444105104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47203 (or 47181 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 5444105104000 in words is "five trillion, four hundred forty-four billion, one hundred five million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 8887 16000 17774 35548 38287 44435 71096 76574 88870 142192 153148 177740 191435 222175 284384 306296 355480 382870 444350 568768 612592 710960 765740 888700 957175 1110875 1137536 1225184 1421920 1531480 1777400 1914350 2221750 2450368 2843840 3062960 3554800 3828700 4443500 4785875 4900736 5687680 6125920 7109600 7657400 8887000 9571750 12251840 14219200 15314800 17774000 19143500 24503680 28438400 30629600 35548000 38287000 61259200 71096000 76574000 122518400 142192000 153148000 306296000 340256569 612592000 680513138 1361026276 1701282845 2722052552 3402565690 5444105104 6805131380 8506414225 10888210208 13610262760 17012828450 21776420416 27220525520 34025656900 42532071125 43552840832 54441051040 68051313800 85064142250 108882102080 136102627600 170128284500 217764204160 272205255200 340256569000 544410510400 680513138000 1088821020800 1361026276000 2722052552000 5444105104000