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14140011400 = 2352293178643
BaseRepresentation
bin11010010101100111…
…10111001110001000
31100111102221000002221
431022303313032020
5212424320331100
610255033303424
71010255054014
oct151263671610
940442830087
1014140011400
115aa6738939
1228a7564b74
131444621468
14981d21544
1557b58d01a
hex34acf7388

14140011400 has 96 divisors (see below), whose sum is σ = 35106681600. Its totient is φ = 5284742400.

The previous prime is 14140011349. The next prime is 14140011401. The reversal of 14140011400 is 411004141.

It is not an unprimeable number, because it can be changed into a prime (14140011401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140479 + ... + 219121.

It is an arithmetic number, because the mean of its divisors is an integer number (365694600).

Almost surely, 214140011400 is an apocalyptic number.

14140011400 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 14140011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553340800).

14140011400 is an abundant number, since it is smaller than the sum of its proper divisors (20966670200).

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

14140011400 is a wasteful number, since it uses less digits than its factorization.

14140011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78719 (or 78710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14140011400 its reverse (411004141), we get a palindrome (14551015541).

The spelling of 14140011400 in words is "fourteen billion, one hundred forty million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 145 155 200 232 248 290 310 580 620 725 775 899 1160 1240 1450 1550 1798 2900 3100 3596 4495 5800 6200 7192 8990 17980 22475 35960 44950 78643 89900 157286 179800 314572 393215 629144 786430 1572860 1966075 2280647 2437933 3145720 3932150 4561294 4875866 7864300 9122588 9751732 11403235 12189665 15728600 18245176 19503464 22806470 24379330 45612940 48758660 57016175 60948325 70700057 91225880 97517320 114032350 121896650 141400114 228064700 243793300 282800228 353500285 456129400 487586600 565600456 707000570 1414001140 1767501425 2828002280 3535002850 7070005700 14140011400