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14021503300 = 225271031131721
BaseRepresentation
bin11010000111011111…
…10010100101000100
31100012011221011120001
431003233302211010
5212204001101200
610235201251044
71004315545240
oct150357624504
940164834501
1014021503300
115a45855a62
122873933a84
131425bca61c
149702b3420
15570e7e76a
hex343bf2944

14021503300 has 144 divisors (see below), whose sum is σ = 35442231552. Its totient is φ = 4715827200.

The previous prime is 14021503273. The next prime is 14021503333. The reversal of 14021503300 is 330512041.

14021503300 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 47 ways as a sum of consecutive naturals, for example, 8146440 + ... + 8148160.

It is an arithmetic number, because the mean of its divisors is an integer number (246126608).

Almost surely, 214021503300 is an apocalyptic number.

14021503300 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 14021503300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721115776).

14021503300 is an abundant number, since it is smaller than the sum of its proper divisors (21420728252).

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

14021503300 is a wasteful number, since it uses less digits than its factorization.

14021503300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 14021503300 in words is "fourteen billion, twenty-one million, five hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 113 140 175 206 226 350 412 452 515 565 700 721 791 1030 1130 1442 1582 1721 2060 2260 2575 2825 2884 3164 3442 3605 3955 5150 5650 6884 7210 7910 8605 10300 11300 11639 12047 14420 15820 17210 18025 19775 23278 24094 34420 36050 39550 43025 46556 48188 58195 60235 72100 79100 81473 86050 116390 120470 162946 172100 177263 194473 232780 240940 290975 301175 325892 354526 388946 407365 581950 602350 709052 777892 814730 886315 972365 1163900 1204700 1240841 1361311 1629460 1772630 1944730 2036825 2481682 2722622 3545260 3889460 4073650 4431575 4861825 4963364 5445244 6204205 6806555 8147300 8863150 9723650 12408410 13613110 17726300 19447300 20030719 24816820 27226220 31021025 34032775 40061438 62042050 68065550 80122876 100153595 124084100 136131100 140215033 200307190 280430066 400614380 500767975 560860132 701075165 1001535950 1402150330 2003071900 2804300660 3505375825 7010751650 14021503300