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14067621120 = 28357523349
BaseRepresentation
bin11010001100111111…
…01101110100000000
31100022101201012022110
431012133231310000
5212302302333440
610243525535320
71005415543440
oct150637556400
940271635273
1014067621120
115a69894a63
122887274540
131432626987
1497647a120
1557503e080
hex3467edd00

14067621120 has 144 divisors (see below), whose sum is σ = 51346915200. Its totient is φ = 3215450112.

The previous prime is 14067621101. The next prime is 14067621131. The reversal of 14067621120 is 2112676041.

14067621120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 234795 + ... + 288554.

It is an arithmetic number, because the mean of its divisors is an integer number (356575800).

Almost surely, 214067621120 is an apocalyptic number.

14067621120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14067621120 is an abundant number, since it is smaller than the sum of its proper divisors (37279294080).

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

14067621120 is an equidigital number, since it uses as much as digits as its factorization.

14067621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523380 (or 523366 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 14067621120 in words is "fourteen billion, sixty-seven million, six hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 523349 1046698 1570047 2093396 2616745 3140094 3663443 4186792 5233490 6280188 7326886 7850235 8373584 10466980 10990329 12560376 14653772 15700470 16747168 18317215 20933960 21980658 25120752 29307544 31400940 33494336 36634430 41867920 43961316 50241504 54951645 58615088 62801880 66988672 73268860 83735840 87922632 100483008 109903290 117230176 125603760 133977344 146537720 167471680 175845264 200966016 219806580 234460352 251207520 293075440 334943360 351690528 401932032 439613160 468920704 502415040 586150880 669886720 703381056 879226320 937841408 1004830080 1172301760 1406762112 1758452640 2009660160 2344603520 2813524224 3516905280 4689207040 7033810560 14067621120