Search a number
-
+
302144144320 = 26517139399577
BaseRepresentation
bin1000110010110010011…
…00011100001111000000
31001212212221111211210201
410121121030130033000
514422242400104240
6350445245334544
730554261565064
oct4313114341700
91055787454721
10302144144320
111071585466a7
124a683567454
1322652104765
14108a3bddaa4
157cd5a45d9a
hex465931c3c0

302144144320 has 112 divisors (see below), whose sum is σ = 767285658720. Its totient is φ = 112929767424.

The previous prime is 302144144191. The next prime is 302144144339. The reversal of 302144144320 is 23441441203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556372 + ... + 955948.

It is an arithmetic number, because the mean of its divisors is an integer number (6850764810).

Almost surely, 2302144144320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302144144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383642829360).

302144144320 is an abundant number, since it is smaller than the sum of its proper divisors (465141514400).

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

302144144320 is a wasteful number, since it uses less digits than its factorization.

302144144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399750 (or 399740 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 302144144320 its reverse (23441441203), we get a palindrome (325585585523).

The spelling of 302144144320 in words is "three hundred two billion, one hundred forty-four million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 139 160 170 272 278 320 340 544 556 680 695 1088 1112 1360 1390 2224 2363 2720 2780 4448 4726 5440 5560 8896 9452 11120 11815 18904 22240 23630 37808 44480 47260 75616 94520 151232 189040 378080 399577 756160 799154 1598308 1997885 3196616 3995770 6393232 6792809 7991540 12786464 13585618 15983080 25572928 27171236 31966160 33964045 54342472 55541203 63932320 67928090 108684944 111082406 127864640 135856180 217369888 222164812 271712360 277706015 434739776 444329624 543424720 555412030 888659248 944200451 1086849440 1110824060 1777318496 1888400902 2173698880 2221648120 3554636992 3776801804 4443296240 4721002255 7553603608 8886592480 9442004510 15107207216 17773184960 18884009020 30214414432 37768018040 60428828864 75536036080 151072072160 302144144320