Search a number
-
+
47141311520 = 2552359217121
BaseRepresentation
bin101011111001110101…
…110101010000100000
311111200100200202020202
4223321311311100200
51233021133432040
633353441524332
73256130352002
oct537165652040
9144610622222
1047141311520
1118aa1050096
1291776436a8
1345a3734794
1423d2bd0372
15135d916015
hexaf9d75420

47141311520 has 96 divisors (see below), whose sum is σ = 118183847040. Its totient is φ = 17730887680.

The previous prime is 47141311519. The next prime is 47141311523. The reversal of 47141311520 is 2511314174.

47141311520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47141311523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108560 + ... + 325680.

It is an arithmetic number, because the mean of its divisors is an integer number (1231081740).

Almost surely, 247141311520 is an apocalyptic number.

47141311520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 217120×217121.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47141311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59091923520).

47141311520 is an abundant number, since it is smaller than the sum of its proper divisors (71042535520).

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

47141311520 is a wasteful number, since it uses less digits than its factorization.

47141311520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217218 (or 217210 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 47141311520 its reverse (2511314174), we get a palindrome (49652625694).

The spelling of 47141311520 in words is "forty-seven billion, one hundred forty-one million, three hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 59 80 92 115 118 160 184 230 236 295 368 460 472 590 736 920 944 1180 1357 1840 1888 2360 2714 3680 4720 5428 6785 9440 10856 13570 21712 27140 43424 54280 108560 217120 217121 434242 868484 1085605 1736968 2171210 3473936 4342420 4993783 6947872 8684840 9987566 12810139 17369680 19975132 24968915 25620278 34739360 39950264 49937830 51240556 64050695 79900528 99875660 102481112 128101390 159801056 199751320 204962224 256202780 294633197 399502640 409924448 512405560 589266394 799005280 1024811120 1178532788 1473165985 2049622240 2357065576 2946331970 4714131152 5892663940 9428262304 11785327880 23570655760 47141311520