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7144029218364 = 22329331439141277
BaseRepresentation
bin110011111110101100101…
…0100101110011000111100
3221021221222200100100122020
41213331121110232120330
51414021432434441424
623105531031320140
71335065463264633
oct147753124563074
927257880310566
107144029218364
112304847281915
12974688b20050
133ca8a9b9c2ac
141a9ab6a2251a
15c5c75018079
hex67f5952e63c

7144029218364 has 96 divisors (see below), whose sum is σ = 17335827801600. Its totient is φ = 2287043700480.

The previous prime is 7144029218357. The next prime is 7144029218377. The reversal of 7144029218364 is 4638129204417.

It is a congruent 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, 50496894 + ... + 50638170.

It is an arithmetic number, because the mean of its divisors is an integer number (180581539600).

Almost surely, 27144029218364 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 7144029218364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667913900800).

7144029218364 is an abundant number, since it is smaller than the sum of its proper divisors (10191798583236).

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

7144029218364 is a wasteful number, since it uses less digits than its factorization.

7144029218364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142083 (or 142081 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 7144029218364 in words is "seven trillion, one hundred forty-four billion, twenty-nine million, two hundred eighteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 331 348 439 662 878 993 1317 1324 1756 1986 2634 3972 5268 9599 12731 19198 25462 28797 38193 38396 50924 57594 76386 115188 141277 145309 152772 282554 290618 423831 435927 565108 581236 847662 871854 1695324 1743708 4097033 4213961 8194066 8427922 12291099 12641883 16388132 16855844 24582198 25283766 46762687 49164396 50567532 62020603 93525374 124041206 140288061 186061809 187050748 248082412 280576122 372123618 561152244 744247236 1356117923 1798597487 2712235846 3597194974 4068353769 5395792461 5424471692 7194389948 8136707538 10791584922 16273415076 20528819593 21583169844 41057639186 61586458779 82115278372 123172917558 246345835116 595335768197 1190671536394 1786007304591 2381343072788 3572014609182 7144029218364