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14223034540 = 225112132931543
BaseRepresentation
bin11010011111100001…
…00100100010101100
31100201020011000110001
431033300210202230
5213112044101130
610311200554044
71012313541001
oct151760444254
940636130401
1014223034540
116039594400
12290b322924
13145889c890
1498cd738a8
155839dc6ca
hex34fc248ac

14223034540 has 144 divisors (see below), whose sum is σ = 35499610944. Its totient is φ = 4754787840.

The previous prime is 14223034537. The next prime is 14223034541. The reversal of 14223034540 is 4543032241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14223034499 and 14223034508.

It is not an unprimeable number, because it can be changed into a prime (14223034541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9217009 + ... + 9218551.

It is an arithmetic number, because the mean of its divisors is an integer number (246525076).

Almost surely, 214223034540 is an apocalyptic number.

14223034540 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 14223034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749805472).

14223034540 is an abundant number, since it is smaller than the sum of its proper divisors (21276576404).

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

14223034540 is a wasteful number, since it uses less digits than its factorization.

14223034540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 14223034540 its reverse (4543032241), we get a palindrome (18766066781).

The spelling of 14223034540 in words is "fourteen billion, two hundred twenty-three million, thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 293 484 572 586 605 715 1172 1210 1430 1465 1543 1573 2420 2860 2930 3086 3146 3223 3809 5860 6172 6292 6446 7618 7715 7865 12892 15236 15430 15730 16115 16973 19045 20059 30860 31460 32230 33946 35453 38090 40118 41899 64460 67892 70906 76180 80236 83798 84865 100295 141812 167596 169730 177265 186703 200590 209495 220649 339460 354530 373406 401180 418990 441298 452099 460889 709060 746812 837980 882596 904198 921778 933515 1103245 1808396 1843556 1867030 2206490 2260495 2304445 2427139 3734060 4412980 4520990 4608890 4854278 4973089 5877287 9041980 9217780 9708556 9946178 11754574 12135695 19892356 23509148 24271390 24865445 29386435 48542780 49730890 54703979 58772870 64650157 99461780 109407958 117545740 129300314 218815916 258600628 273519895 323250785 547039790 646501570 711151727 1094079580 1293003140 1422303454 2844606908 3555758635 7111517270 14223034540