Search a number
-
+
14014313000 = 235353281941
BaseRepresentation
bin11010000110101000…
…10111001000101000
31100011200101212022122
431003110113020220
5212200131004000
610234343210412
71004200460252
oct150324271050
940150355278
1014014313000
115a41794866
122871446a08
1314245808cc
1496d360cd2
1557050e085
hex343517228

14014313000 has 128 divisors (see below), whose sum is σ = 33566775840. Its totient is φ = 5474560000.

The previous prime is 14014312927. The next prime is 14014313009. The reversal of 14014313000 is 31341041.

It can be written as a sum of positive squares in 16 ways, for example, as 37871716 + 13976441284 = 6154^2 + 118222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14014313000.

It is not an unprimeable number, because it can be changed into a prime (14014313009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14892530 + ... + 14893470.

Almost surely, 214014313000 is an apocalyptic number.

14014313000 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 14014313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783387920).

14014313000 is an abundant number, since it is smaller than the sum of its proper divisors (19552462840).

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

14014313000 is a wasteful number, since it uses less digits than its factorization.

14014313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 14014313000 its reverse (31341041), we get a palindrome (14045654041).

The spelling of 14014313000 in words is "fourteen billion, fourteen million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 281 424 500 530 562 941 1000 1060 1124 1325 1405 1882 2120 2248 2650 2810 3764 4705 5300 5620 6625 7025 7528 9410 10600 11240 13250 14050 14893 18820 23525 26500 28100 29786 35125 37640 47050 49873 53000 56200 59572 70250 74465 94100 99746 117625 119144 140500 148930 188200 199492 235250 249365 264421 281000 297860 372325 398984 470500 498730 528842 595720 744650 941000 997460 1057684 1246825 1322105 1489300 1861625 1994920 2115368 2493650 2644210 2978600 3723250 4987300 5288420 6234125 6610525 7446500 9974600 10576840 12468250 13221050 14014313 14893000 24936500 26442100 28028626 33052625 49873000 52884200 56057252 66105250 70071565 112114504 132210500 140143130 264421000 280286260 350357825 560572520 700715650 1401431300 1751789125 2802862600 3503578250 7007156500 14014313000