Search a number
-
+
14208583740 = 22351324332587
BaseRepresentation
bin11010011101110010…
…11100100000111100
31100200012221211200020
431032321130200330
5213044344134430
610305523132140
71012046653251
oct151671344074
940605854606
1014208583740
11603141429a
122906514050
1314558b0200
1498b091428
155825d5b10
hex34ee5c83c

14208583740 has 144 divisors (see below), whose sum is σ = 44082960768. Its totient is φ = 3416055552.

The previous prime is 14208583733. The next prime is 14208583751. The reversal of 14208583740 is 4738580241.

It is a junction number, because it is equal to n+sod(n) for n = 14208583692 and 14208583701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419727 + ... + 452313.

It is an arithmetic number, because the mean of its divisors is an integer number (306131672).

Almost surely, 214208583740 is an apocalyptic number.

14208583740 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 14208583740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041480384).

14208583740 is an abundant number, since it is smaller than the sum of its proper divisors (29874377028).

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

14208583740 is a wasteful number, since it uses less digits than its factorization.

14208583740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32668 (or 32653 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 14208583740 in words is "fourteen billion, two hundred eight million, five hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 169 172 195 215 258 260 338 390 430 507 516 559 645 676 780 845 860 1014 1118 1290 1677 1690 2028 2236 2535 2580 2795 3354 3380 5070 5590 6708 7267 8385 10140 11180 14534 16770 21801 29068 32587 33540 36335 43602 65174 72670 87204 97761 109005 130348 145340 162935 195522 218010 325870 391044 423631 436020 488805 651740 847262 977610 1270893 1401241 1694524 1955220 2118155 2541786 2802482 4203723 4236310 5083572 5507203 5604964 6354465 7006205 8407446 8472620 11014406 12708930 14012410 16521609 16814892 18216133 21018615 22028812 25417860 27536015 28024820 33043218 36432266 42037230 54648399 55072030 66086436 72864532 82608045 84074460 91080665 109296798 110144060 165216090 182161330 218593596 236809729 273241995 330432180 364322660 473619458 546483990 710429187 947238916 1092967980 1184048645 1420858374 2368097290 2841716748 3552145935 4736194580 7104291870 14208583740