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4144421105864 = 2313298316555963
BaseRepresentation
bin111100010011110010101…
…111110111000011001000
3112200012110211111000202222
4330103302233313003020
51020400233300341424
612451530515313212
7605265422103644
oct74236257670310
915605424430688
104144421105864
111358703740006
1256b2722ab808
13240a816002b0
1410483bbbbc24
1572c14dd3e5e
hex3c4f2bf70c8

4144421105864 has 64 divisors (see below), whose sum is σ = 8761416148800. Its totient is φ = 1824599460096.

The previous prime is 4144421105861. The next prime is 4144421105897. The reversal of 4144421105864 is 4685011244414.

It is not an unprimeable number, because it can be changed into a prime (4144421105861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8027654 + ... + 8528309.

It is an arithmetic number, because the mean of its divisors is an integer number (136897127325).

Almost surely, 24144421105864 is an apocalyptic number.

It is an amenable number.

4144421105864 is an abundant number, since it is smaller than the sum of its proper divisors (4616995042936).

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

4144421105864 is a wasteful number, since it uses less digits than its factorization.

4144421105864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556094 (or 16556090 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 44.

The spelling of 4144421105864 in words is "four trillion, one hundred forty-four billion, four hundred twenty-one million, one hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 83 104 116 166 232 332 377 664 754 1079 1508 2158 2407 3016 4316 4814 8632 9628 19256 31291 62582 125164 250328 16555963 33111926 66223852 132447704 215227519 430455038 480122927 860910076 960245854 1374144929 1721820152 1920491708 2748289858 3840983416 5496579716 6241598051 10993159432 12483196102 17863884077 24966392204 35727768154 39850202941 49932784408 71455536308 79700405882 142911072616 159400811764 318801623528 518052638233 1036105276466 2072210552932 4144421105864