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14055134240 = 255714984223
BaseRepresentation
bin11010001011100000…
…00101010000100000
31100021112012210112102
431011300011100200
5212241103243430
610242402145532
71005204445520
oct150560052040
940245183472
1014055134240
115a62836424
1228830522a8
13142cb741a4
14974949680
15573dc4345
hex345c05420

14055134240 has 96 divisors (see below), whose sum is σ = 38204006400. Its totient is φ = 4786504704.

The previous prime is 14055134161. The next prime is 14055134243. The reversal of 14055134240 is 4243155041.

It is not an unprimeable number, because it can be changed into a prime (14055134243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124769 + ... + 208991.

It is an arithmetic number, because the mean of its divisors is an integer number (397958400).

Almost surely, 214055134240 is an apocalyptic number.

14055134240 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 14055134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102003200).

14055134240 is an abundant number, since it is smaller than the sum of its proper divisors (24148872160).

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

14055134240 is a wasteful number, since it uses less digits than its factorization.

14055134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84394 (or 84386 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 14055134240 its reverse (4243155041), we get a palindrome (18298289281).

The spelling of 14055134240 in words is "fourteen billion, fifty-five million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 149 160 224 280 298 560 596 745 1043 1120 1192 1490 2086 2384 2980 4172 4768 5215 5960 8344 10430 11920 16688 20860 23840 33376 41720 83440 84223 166880 168446 336892 421115 589561 673784 842230 1179122 1347568 1684460 2358244 2695136 2947805 3368920 4716488 5895610 6737840 9432976 11791220 12549227 13475680 18865952 23582440 25098454 47164880 50196908 62746135 87844589 94329760 100393816 125492270 175689178 200787632 250984540 351378356 401575264 439222945 501969080 702756712 878445890 1003938160 1405513424 1756891780 2007876320 2811026848 3513783560 7027567120 14055134240