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544112133244240 = 245113094919978327
BaseRepresentation
bin111101110110111011111101…
…0011010111000010101010000
32122100112121112002200101000011
41323231313322122320111100
51032304213122102303430
65205121355132404304
7222415542616052131
oct17355677232702520
92570477462611004
10544112133244240
11148409729273590
12510386b0616694
131a47b7281b1472
14985124c4b9c88
1542d8912b0022a
hex1eeddfa6b8550

544112133244240 has 80 divisors (see below), whose sum is σ = 1380110889571200. Its totient is φ = 197852554575360.

The previous prime is 544112133244237. The next prime is 544112133244241. The reversal of 544112133244240 is 42442331211445.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 544112133244193 and 544112133244202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544112133244241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17245957 + ... + 37224283.

It is an arithmetic number, because the mean of its divisors is an integer number (17251386119640).

Almost surely, 2544112133244240 is an apocalyptic number.

It is an amenable number.

544112133244240 is an abundant number, since it is smaller than the sum of its proper divisors (835998756326960).

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

544112133244240 is a wasteful number, since it uses less digits than its factorization.

544112133244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20009300 (or 20009294 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 544112133244240 its reverse (42442331211445), we get a palindrome (586554464455685).

The spelling of 544112133244240 in words is "five hundred forty-four trillion, one hundred twelve billion, one hundred thirty-three million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 30949 61898 123796 154745 247592 309490 340439 495184 618980 680878 1237960 1361756 1702195 2475920 2723512 3404390 5447024 6808780 13617560 19978327 27235120 39956654 79913308 99891635 159826616 199783270 219761597 319653232 399566540 439523194 799133080 879046388 1098807985 1598266160 1758092776 2197615970 3516185552 4395231940 8790463880 17580927760 618309242323 1236618484646 2473236969292 3091546211615 4946473938584 6183092423230 6801401665553 9892947877168 12366184846460 13602803331106 24732369692920 27205606662212 34007008327765 49464739385840 54411213324424 68014016655530 108822426648848 136028033311060 272056066622120 544112133244240