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14214727000 = 2353294710429
BaseRepresentation
bin11010011110100001…
…11000010101011000
31100200122111221122101
431033100320111120
5213102432231000
610310302533144
71012153120525
oct151720702530
940618457571
1014214727000
11603492a871
1229085971b4
131456c51486
1498bc1014c
15582deae6a
hex34f438558

14214727000 has 128 divisors (see below), whose sum is σ = 35144928000. Its totient is φ = 5372505600.

The previous prime is 14214726989. The next prime is 14214727001. The reversal of 14214727000 is 72741241.

It is a self number, because there is not a number n which added to its sum of digits gives 14214727000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214727001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357786 + ... + 1368214.

It is an arithmetic number, because the mean of its divisors is an integer number (274569750).

Almost surely, 214214727000 is an apocalyptic number.

14214727000 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 14214727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572464000).

14214727000 is an abundant number, since it is smaller than the sum of its proper divisors (20930201000).

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

14214727000 is a wasteful number, since it uses less digits than its factorization.

14214727000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 14214727000 in words is "fourteen billion, two hundred fourteen million, seven hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 47 50 58 94 100 116 125 145 188 200 232 235 250 290 376 470 500 580 725 940 1000 1160 1175 1363 1450 1880 2350 2726 2900 3625 4700 5452 5800 5875 6815 7250 9400 10429 10904 11750 13630 14500 20858 23500 27260 29000 34075 41716 47000 52145 54520 68150 83432 104290 136300 170375 208580 260725 272600 302441 340750 417160 490163 521450 604882 681500 980326 1042900 1209764 1303625 1363000 1512205 1960652 2085800 2419528 2450815 2607250 3024410 3921304 4901630 5214500 6048820 7561025 9803260 10429000 12097640 12254075 14214727 15122050 19606520 24508150 28429454 30244100 37805125 49016300 56858908 60488200 61270375 71073635 75610250 98032600 113717816 122540750 142147270 151220500 245081500 284294540 302441000 355368175 490163000 568589080 710736350 1421472700 1776840875 2842945400 3553681750 7107363500 14214727000