Search a number
-
+
544105205421000 = 23353790722937701
BaseRepresentation
bin111101110110111000101110…
…1011111010101001111001000
32122100111221122021202111010020
41323231301131133111033020
51032304104430041433000
65205114251453220440
7222415206134403546
oct17355613537251710
92570457567674106
10544105205421000
111484067a3737433
1251037298491720
131a47ab92b29a82
149850b9238ad96
1542d86597e1ba0
hex1eedc5d7d53c8

544105205421000 has 128 divisors (see below), whose sum is σ = 1697823011813760. Its totient is φ = 145076364960000.

The previous prime is 544105205420989. The next prime is 544105205421031. The reversal of 544105205421000 is 124502501445.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252150 + ... + 35189850.

It is an arithmetic number, because the mean of its divisors is an integer number (13264242279795).

Almost surely, 2544105205421000 is an apocalyptic number.

544105205421000 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 544105205421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848911505906880).

544105205421000 is an abundant number, since it is smaller than the sum of its proper divisors (1153717806392760).

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

544105205421000 is a wasteful number, since it uses less digits than its factorization.

544105205421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22945632 (or 22945618 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 544105205421000 its reverse (124502501445), we get a palindrome (544229707922445).

The spelling of 544105205421000 in words is "five hundred forty-four trillion, one hundred five billion, two hundred five million, four hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7907 15814 23721 31628 39535 47442 63256 79070 94884 118605 158140 189768 197675 237210 316280 395350 474420 593025 790700 948840 988375 1186050 1581400 1976750 2372100 2965125 3953500 4744200 5930250 7907000 11860500 22937701 23721000 45875402 68813103 91750804 114688505 137626206 183501608 229377010 275252412 344065515 458754020 550504824 573442525 688131030 917508040 1146885050 1376262060 1720327575 2293770100 2752524120 2867212625 3440655150 4587540200 5734425250 6881310300 8601637875 11468850500 13762620600 17203275750 22937701000 34406551500 68813103000 181368401807 362736803614 544105205421 725473607228 906842009035 1088210410842 1450947214456 1813684018070 2176420821684 2720526027105 3627368036140 4352841643368 4534210045175 5441052054210 7254736072280 9068420090350 10882104108420 13602630135525 18136840180700 21764208216840 22671050225875 27205260271050 36273680361400 45342100451750 54410520542100 68013150677625 90684200903500 108821041084200 136026301355250 181368401807000 272052602710500 544105205421000