Search a number
-
+
5114101160 = 2357172274733
BaseRepresentation
bin1001100001101001…
…01111110110101000
3111012102002020221002
410300310233312220
540433202214120
62203244534132
7240506066630
oct46064576650
914172066832
105114101160
11219485a993
12ba8851348
1363669b87c
143672c36c0
151ede94375
hex130d2fda8

5114101160 has 128 divisors (see below), whose sum is σ = 13988401920. Its totient is φ = 1642647552.

The previous prime is 5114101159. The next prime is 5114101163. The reversal of 5114101160 is 611014115.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5114101163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078154 + ... + 1082886.

It is an arithmetic number, because the mean of its divisors is an integer number (109284390).

Almost surely, 25114101160 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 5114101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994200960).

5114101160 is an abundant number, since it is smaller than the sum of its proper divisors (8874300760).

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

5114101160 is a wasteful number, since it uses less digits than its factorization.

5114101160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 5114101160 is about 71512.9440031663. The cubic root of 5114101160 is about 1722.8855880006.

Adding to 5114101160 its reverse (611014115), we get a palindrome (5725115275).

The spelling of 5114101160 in words is "five billion, one hundred fourteen million, one hundred one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 227 238 280 340 454 476 595 680 908 952 1135 1190 1589 1816 2270 2380 3178 3859 4540 4733 4760 6356 7718 7945 9080 9466 12712 15436 15890 18932 19295 23665 27013 30872 31780 33131 37864 38590 47330 54026 63560 66262 77180 80461 94660 108052 132524 135065 154360 160922 165655 189320 216104 265048 270130 321844 331310 402305 540260 563227 643688 662620 804610 1074391 1080520 1126454 1325240 1609220 2148782 2252908 2816135 3218440 4297564 4505816 5371955 5632270 7520737 8595128 10743910 11264540 15041474 18264647 21487820 22529080 30082948 36529294 37603685 42975640 60165896 73058588 75207370 91323235 127852529 146117176 150414740 182646470 255705058 300829480 365292940 511410116 639262645 730585880 1022820232 1278525290 2557050580 5114101160