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5444160645344 = 2541283115112739
BaseRepresentation
bin100111100111001000101…
…0000101110100011100000
3201021110022220201201100012
41033032101100232203200
51203144120111122334
615325002440344052
71101220242645251
oct117162120564340
921243286651305
105444160645344
111809945834373
1273b146475028
133064c7761985
1414b6da926b28
159693600a9ce
hex4f39142e8e0

5444160645344 has 96 divisors (see below), whose sum is σ = 11028846366720. Its totient is φ = 2643797376000.

The previous prime is 5444160645307. The next prime is 5444160645353. The reversal of 5444160645344 is 4435460614445.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5444160645292 and 5444160645301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427355327 + ... + 427368065.

It is an arithmetic number, because the mean of its divisors is an integer number (114883816320).

Almost surely, 25444160645344 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 5444160645344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514423183360).

5444160645344 is an abundant number, since it is smaller than the sum of its proper divisors (5584685721376).

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

5444160645344 is a wasteful number, since it uses less digits than its factorization.

5444160645344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14224 (or 14216 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 50.

The spelling of 5444160645344 in words is "five trillion, four hundred forty-four billion, one hundred sixty million, six hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 283 328 566 656 1132 1151 1312 2264 2302 4528 4604 9056 9208 11603 12739 18416 23206 25478 36832 46412 47191 50956 92824 94382 101912 185648 188764 203824 325733 371296 377528 407648 522299 651466 755056 1044598 1302932 1510112 2089196 2605864 3605137 4178392 5211728 7210274 8356784 10423456 13355053 14420548 14662589 16713568 26710106 28841096 29325178 53420212 57682192 58650356 106840424 115364384 117300712 147810617 213680848 234601424 295621234 427361696 469202848 591242468 601166149 1182484936 1202332298 2364969872 2404664596 4149512687 4729939744 4809329192 8299025374 9618658384 16598050748 19237316768 33196101496 66392202992 132784405984 170130020167 340260040334 680520080668 1361040161336 2722080322672 5444160645344