Search a number
-
+
14000286528 = 263259411967
BaseRepresentation
bin11010000100111101…
…10110101101000000
31100010201000020121200
431002132312231000
5212133033132103
610233122421200
71003640320614
oct150236665500
940121006550
1014000286528
115a34884538
122868801800
1314216ac417
1496b54d344
1556e18d0a3
hex3427b6b40

14000286528 has 84 divisors (see below), whose sum is σ = 40809550080. Its totient is φ = 4587653376.

The previous prime is 14000286527. The next prime is 14000286541. The reversal of 14000286528 is 82568200041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14000286492 and 14000286501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000286527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172000 + ... + 239967.

Almost surely, 214000286528 is an apocalyptic number.

14000286528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14000286528 is an abundant number, since it is smaller than the sum of its proper divisors (26809263552).

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

14000286528 is a wasteful number, since it uses less digits than its factorization.

14000286528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412044 (or 412031 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 14000286528 its reverse (82568200041), we get a palindrome (96568486569).

The spelling of 14000286528 in words is "fourteen billion, two hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 411967 823934 1235901 1647868 2471802 3295736 3707703 4943604 6591472 7415406 9887208 13182944 14830812 19774416 24306053 26365888 29661624 39548832 48612106 59323248 72918159 79097664 97224212 118646496 145836318 194448424 218754477 237292992 291672636 388896848 437508954 583345272 777793696 875017908 1166690544 1555587392 1750035816 2333381088 3500071632 4666762176 7000143264 14000286528