Search a number
-
+
5143112320 = 2758539421
BaseRepresentation
bin1001100101000110…
…11010101010000000
3111021102200011202111
410302203122222000
541013114043240
62210202425104
7241310506363
oct46243325200
914242604674
105143112320
1121aa175455
12bb6502194
1363c6b8738
1436b0b60da
152017c51ea
hex1328daa80

5143112320 has 64 divisors (see below), whose sum is σ = 12310973640. Its totient is φ = 2054615040.

The previous prime is 5143112311. The next prime is 5143112321. The reversal of 5143112320 is 232113415.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2371300416 + 2771811904 = 48696^2 + 52648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×51431123202 = 52903208672271564800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5143112291 and 5143112300.

It is not an unprimeable number, because it can be changed into a prime (5143112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541210 + ... + 550630.

Almost surely, 25143112320 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 5143112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155486820).

5143112320 is an abundant number, since it is smaller than the sum of its proper divisors (7167861320).

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

5143112320 is an equidigital number, since it uses as much as digits as its factorization.

5143112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5143112320 is about 71715.4956756209. The cubic root of 5143112320 is about 1726.1372960823.

Adding to 5143112320 its reverse (232113415), we get a palindrome (5375225735).

The spelling of 5143112320 in words is "five billion, one hundred forty-three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 853 1706 3412 4265 6824 8530 9421 13648 17060 18842 27296 34120 37684 47105 54592 68240 75368 94210 109184 136480 150736 188420 272960 301472 376840 545920 602944 753680 1205888 1507360 3014720 6029440 8036113 16072226 32144452 40180565 64288904 80361130 128577808 160722260 257155616 321444520 514311232 642889040 1028622464 1285778080 2571556160 5143112320