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14260910720 = 275713922901
BaseRepresentation
bin11010100100000010…
…00011101010000000
31100210212102022210112
431102001003222000
5213201243120340
610315032450452
71013253512120
oct152201035200
940725368715
1014260910720
116058a04331
12291bb49a28
1314636a1814
14993dd2c80
15586ec0065
hex352043a80

14260910720 has 128 divisors (see below), whose sum is σ = 39244867200. Its totient is φ = 4854067200.

The previous prime is 14260910707. The next prime is 14260910737. The reversal of 14260910720 is 2701906241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 611270 + ... + 634170.

It is an arithmetic number, because the mean of its divisors is an integer number (306600525).

Almost surely, 214260910720 is an apocalyptic number.

14260910720 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 14260910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622433600).

14260910720 is an abundant number, since it is smaller than the sum of its proper divisors (24983956480).

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

14260910720 is a wasteful number, since it uses less digits than its factorization.

14260910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23066 (or 23054 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 14260910720 in words is "fourteen billion, two hundred sixty million, nine hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 139 140 160 224 278 280 320 448 556 560 640 695 896 973 1112 1120 1390 1946 2224 2240 2780 3892 4448 4480 4865 5560 7784 8896 9730 11120 15568 17792 19460 22240 22901 31136 38920 44480 45802 62272 77840 88960 91604 114505 124544 155680 160307 183208 229010 311360 320614 366416 458020 622720 641228 732832 801535 916040 1282456 1465664 1603070 1832080 2564912 2931328 3183239 3206140 3664160 5129824 6366478 6412280 7328320 10259648 12732956 12824560 14656640 15916195 20519296 22282673 25465912 25649120 31832390 44565346 50931824 51298240 63664780 89130692 101863648 102596480 111413365 127329560 178261384 203727296 222826730 254659120 356522768 407454592 445653460 509318240 713045536 891306920 1018636480 1426091072 1782613840 2037272960 2852182144 3565227680 7130455360 14260910720