Search a number
-
+
14266600700 = 225211611731229
BaseRepresentation
bin11010100100101101…
…10000110011111100
31100211021010101222112
431102112300303330
5213204222210300
610315354433152
71013353051022
oct152226606374
940737111875
1014266600700
1160611402a0
122921a327b8
131464914681
14994a74712
15587745e35
hex3525b0cfc

14266600700 has 144 divisors (see below), whose sum is σ = 34553100960. Its totient is φ = 5069184000.

The previous prime is 14266600643. The next prime is 14266600709. The reversal of 14266600700 is 700666241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14266600709) 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, 11607686 + ... + 11608914.

It is an arithmetic number, because the mean of its divisors is an integer number (239952090).

Almost surely, 214266600700 is an apocalyptic number.

14266600700 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 14266600700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276550480).

14266600700 is an abundant number, since it is smaller than the sum of its proper divisors (20286500260).

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

14266600700 is a wasteful number, since it uses less digits than its factorization.

14266600700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 14266600700 in words is "fourteen billion, two hundred sixty-six million, six hundred thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 173 220 244 275 305 346 550 610 671 692 865 1100 1220 1229 1342 1525 1730 1903 2458 2684 3050 3355 3460 3806 4325 4916 6100 6145 6710 7612 8650 9515 10553 12290 13420 13519 16775 17300 19030 21106 24580 27038 30725 33550 38060 42212 47575 52765 54076 61450 67100 67595 74969 95150 105530 116083 122900 135190 149938 190300 211060 212617 232166 263825 270380 299876 337975 374845 425234 464332 527650 580415 675950 749690 824659 850468 1055300 1063085 1160830 1351900 1499380 1649318 1874225 2126170 2321660 2338787 2902075 3298636 3748450 4123295 4252340 4677574 5315425 5804150 7496900 8246590 9355148 10630850 11608300 11693935 12969637 16493180 20616475 21261700 23387870 25939274 41232950 46775740 51878548 58469675 64848185 82465900 116939350 129696370 142666007 233878700 259392740 285332014 324240925 570664028 648481850 713330035 1296963700 1426660070 2853320140 3566650175 7133300350 14266600700