Search a number
-
+
14068569320 = 23513294092281
BaseRepresentation
bin11010001101000110…
…10101010011101000
31100022110111100222222
431012203111103220
5212303023204240
610244002133212
71005426603041
oct150643252350
940273440888
1014068569320
115a6a3823a3
122887651208
131432899440
149766458c8
15575179eb5
hex3468d54e8

14068569320 has 128 divisors (see below), whose sum is σ = 35366436000. Its totient is φ = 5000970240.

The previous prime is 14068569313. The next prime is 14068569353. The reversal of 14068569320 is 2396586041.

It is a Cunningham number, because it is equal to 1186112-1.

It can be written as a sum of positive squares in 16 ways, for example, as 2482630276 + 11585939044 = 49826^2 + 107638^2 .

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, 6166580 + ... + 6168860.

Almost surely, 214068569320 is an apocalyptic number.

14068569320 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 14068569320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683218000).

14068569320 is an abundant number, since it is smaller than the sum of its proper divisors (21297866680).

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

14068569320 is a wasteful number, since it uses less digits than its factorization.

14068569320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 14068569320 in words is "fourteen billion, sixty-eight million, five hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 409 520 580 754 818 1160 1508 1636 1885 2045 2281 3016 3272 3770 4090 4562 5317 7540 8180 9124 10634 11405 11861 15080 16360 18248 21268 22810 23722 26585 29653 42536 45620 47444 53170 59305 59306 66149 91240 94888 106340 118610 118612 132298 148265 154193 212680 237220 237224 264596 296530 308386 330745 474440 529192 593060 616772 661490 770965 859937 932929 1186120 1233544 1322980 1541930 1719874 1865858 2645960 3083860 3439748 3731716 4299685 4664645 6167720 6879496 7463432 8599370 9329290 12128077 17198740 18658580 24256154 27054941 34397480 37317160 48512308 54109882 60640385 97024616 108219764 121280770 135274705 216439528 242561540 270549410 351714233 485123080 541098820 703428466 1082197640 1406856932 1758571165 2813713864 3517142330 7034284660 14068569320