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14226218540 = 2252941678929
BaseRepresentation
bin11010011111111001…
…01101111000101100
31100201110010210001222
431033330231320230
5213113402443130
610311353122512
71012352601542
oct151774557054
940643123058
1014226218540
116040369606
1229103b9438
131459445bc1
1498d561d92
15583e1ace5
hex34ff2de2c

14226218540 has 96 divisors (see below), whose sum is σ = 32135140800. Its totient is φ = 5279662080.

The previous prime is 14226218527. The next prime is 14226218551. The reversal of 14226218540 is 4581262241.

It is a self number, because there is not a number n which added to its sum of digits gives 14226218540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588796 + ... + 1597724.

It is an arithmetic number, because the mean of its divisors is an integer number (334741050).

Almost surely, 214226218540 is an apocalyptic number.

14226218540 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 14226218540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067570400).

14226218540 is an abundant number, since it is smaller than the sum of its proper divisors (17908922260).

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

14226218540 is a wasteful number, since it uses less digits than its factorization.

14226218540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075 (or 9073 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 14226218540 in words is "fourteen billion, two hundred twenty-six million, two hundred eighteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 67 82 116 134 145 164 205 268 290 335 410 580 670 820 1189 1340 1943 2378 2747 3886 4756 5494 5945 7772 8929 9715 10988 11890 13735 17858 19430 23780 27470 35716 38860 44645 54940 79663 89290 159326 178580 258941 318652 366089 398315 517882 598243 732178 796630 1035764 1196486 1294705 1464356 1593260 1830445 2392972 2589410 2991215 3660890 5178820 5982430 7321780 10616581 11964860 17349047 21233162 24527963 34698094 42466324 49055926 53082905 69396188 86745235 98111852 106165810 122639815 173490470 212331620 245279630 346980940 490559260 711310927 1422621854 2845243708 3556554635 7113109270 14226218540