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14054524224 = 263136538623
BaseRepresentation
bin11010001011011011…
…10000010101000000
31100021111001210202020
431011231300111000
5212240424233344
610242341121440
71005166325166
oct150555602500
940244053666
1014054524224
115a6245a084
1228829b9280
13142c9bc630
1497482b236
15573d03719
hex345b70540

14054524224 has 112 divisors (see below), whose sum is σ = 40112362752. Its totient is φ = 4317345792.

The previous prime is 14054524213. The next prime is 14054524229. The reversal of 14054524224 is 42242545041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14054524229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625577 + ... + 1634199.

It is an arithmetic number, because the mean of its divisors is an integer number (358146096).

Almost surely, 214054524224 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 14054524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056181376).

14054524224 is an abundant number, since it is smaller than the sum of its proper divisors (26057838528).

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

14054524224 is a wasteful number, since it uses less digits than its factorization.

14054524224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

The spelling of 14054524224 in words is "fourteen billion, fifty-four million, five hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 653 832 1248 1306 1959 2496 2612 3918 5224 7836 8489 8623 10448 15672 16978 17246 20896 25467 25869 31344 33956 34492 41792 50934 51738 62688 67912 68984 101868 103476 112099 125376 135824 137968 203736 206952 224198 271648 275936 336297 407472 413904 448396 543296 551872 672594 814944 827808 896792 1345188 1629888 1655616 1793584 2690376 3587168 5380752 5630819 7174336 10761504 11261638 16892457 21523008 22523276 33784914 45046552 67569828 73200647 90093104 135139656 146401294 180186208 219601941 270279312 292802588 360372416 439203882 540558624 585605176 878407764 1081117248 1171210352 1756815528 2342420704 3513631056 4684841408 7027262112 14054524224