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14311848740 = 2257314770163
BaseRepresentation
bin11010101010000110…
…10111101100100100
31100221102021020121212
431111003113230210
5213302313124430
610324052330552
71014442464350
oct152503275444
940842236555
1014311848740
116084735872
122935013a58
1314710c7b67
1499aa92460
1558b6d2b95
hex3550d7b24

14311848740 has 96 divisors (see below), whose sum is σ = 36211359744. Its totient is φ = 4647530880.

The previous prime is 14311848697. The next prime is 14311848757. The reversal of 14311848740 is 4784811341.

14311848740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168899 + ... + 239061.

It is an arithmetic number, because the mean of its divisors is an integer number (377201664).

Almost surely, 214311848740 is an apocalyptic number.

14311848740 is a gapful number since it is divisible by the number (10) 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 14311848740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105679872).

14311848740 is an abundant number, since it is smaller than the sum of its proper divisors (21899511004).

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

14311848740 is a wasteful number, since it uses less digits than its factorization.

14311848740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70257 (or 70255 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 14311848740 in words is "fourteen billion, three hundred eleven million, eight hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 47 62 70 94 124 140 155 188 217 235 310 329 434 470 620 658 868 940 1085 1316 1457 1645 2170 2914 3290 4340 5828 6580 7285 10199 14570 20398 29140 40796 50995 70163 101990 140326 203980 280652 350815 491141 701630 982282 1403260 1964564 2175053 2455705 3297661 4350106 4911410 6595322 8700212 9822820 10875265 13190644 15225371 16488305 21750530 23083627 30450742 32976610 43501060 46167254 60901484 65953220 76126855 92334508 102227491 115418135 152253710 204454982 230836270 304507420 408909964 461672540 511137455 715592437 1022274910 1431184874 2044549820 2862369748 3577962185 7155924370 14311848740