Search a number
-
+
14320041320 = 23513671392957
BaseRepresentation
bin11010101011000101…
…00111110101101000
31100221222200110201202
431111202213311220
5213311412310240
610324544103332
71014602225414
oct152542476550
940858613652
1014320041320
116089320aa2
122937904b48
131472a05b40
1499bbc5d44
1558c2a0315
hex3558a7d68

14320041320 has 128 divisors (see below), whose sum is σ = 35481801600. Its totient is φ = 5169263616.

The previous prime is 14320041317. The next prime is 14320041343. The reversal of 14320041320 is 2314002341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14320041292 and 14320041301.

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, 4841282 + ... + 4844238.

It is an arithmetic number, because the mean of its divisors is an integer number (277201575).

Almost surely, 214320041320 is an apocalyptic number.

14320041320 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 14320041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740900800).

14320041320 is an abundant number, since it is smaller than the sum of its proper divisors (21161760280).

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

14320041320 is a wasteful number, since it uses less digits than its factorization.

14320041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14320041320 its reverse (2314002341), we get a palindrome (16634043661).

The spelling of 14320041320 in words is "fourteen billion, three hundred twenty million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 139 260 268 278 335 520 536 556 670 695 871 1112 1340 1390 1742 1807 2680 2780 2957 3484 3614 4355 5560 5914 6968 7228 8710 9035 9313 11828 14456 14785 17420 18070 18626 23656 29570 34840 36140 37252 38441 46565 59140 72280 74504 76882 93130 118280 121069 153764 186260 192205 198119 242138 307528 372520 384410 396238 411023 484276 605345 768820 792476 822046 968552 990595 1210690 1537640 1584952 1644092 1981190 2055115 2421380 2575547 3288184 3962380 4110230 4842760 5151094 5343299 7924760 8220460 10302188 10686598 12877735 16440920 20604376 21373196 25755470 26716495 27538541 42746392 51510940 53432990 55077082 103021880 106865980 110154164 137692705 213731960 220308328 275385410 358001033 550770820 716002066 1101541640 1432004132 1790005165 2864008264 3580010330 7160020660 14320041320