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14271426880 = 265371279491
BaseRepresentation
bin11010100101010010…
…01011000101000000
31100211121012121020221
431102221023011000
5213211441130010
610320050112424
71013442061354
oct152251130500
940747177227
1014271426880
116063937277
12292357b714
1314659142b9
1499556d464
15587d9adda
hex352a4b140

14271426880 has 112 divisors (see below), whose sum is σ = 35180845056. Its totient is φ = 5509969920.

The previous prime is 14271426877. The next prime is 14271426893. The reversal of 14271426880 is 8862417241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498935 + ... + 1508425.

It is an arithmetic number, because the mean of its divisors is an integer number (314114688).

Almost surely, 214271426880 is an apocalyptic number.

14271426880 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 14271426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590422528).

14271426880 is an abundant number, since it is smaller than the sum of its proper divisors (20909418176).

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

14271426880 is a wasteful number, since it uses less digits than its factorization.

14271426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 14271426880 in words is "fourteen billion, two hundred seventy-one million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 127 148 160 185 254 296 320 370 508 592 635 740 1016 1184 1270 1480 2032 2368 2540 2960 4064 4699 5080 5920 8128 9398 9491 10160 11840 18796 18982 20320 23495 37592 37964 40640 46990 47455 75184 75928 93980 94910 150368 151856 187960 189820 300736 303712 351167 375920 379640 607424 702334 751840 759280 1205357 1404668 1503680 1518560 1755835 2410714 2809336 3037120 3511670 4821428 5618672 6026785 7023340 9642856 11237344 12053570 14046680 19285712 22474688 24107140 28093360 38571424 44598209 48214280 56186720 77142848 89196418 96428560 112373440 178392836 192857120 222991045 356785672 385714240 445982090 713571344 891964180 1427142688 1783928360 2854285376 3567856720 7135713440 14271426880