[go: up one dir, main page]

Search a number
-
+
5003012144 = 2413175923981
BaseRepresentation
bin1001010100011001…
…11110100000110000
3110220200001100110002
410222030332200300
540221232342034
62144235525132
7234656621144
oct45214764060
913820040402
105003012144
112138085089
12b775b97a8
13619674920
14356647224
151e434de7e
hex12a33e830

5003012144 has 80 divisors (see below), whose sum is σ = 11240843040. Its totient is φ = 2136330240.

The previous prime is 5003012129. The next prime is 5003012177. The reversal of 5003012144 is 4412103005.

It is a super-2 number, since 2×50030121442 = 50060261026022953472, which contains 22 as substring.

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, 196634 + ... + 220614.

It is an arithmetic number, because the mean of its divisors is an integer number (140510538).

Almost surely, 25003012144 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 5003012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620421520).

5003012144 is an abundant number, since it is smaller than the sum of its proper divisors (6237830896).

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

5003012144 is a wasteful number, since it uses less digits than its factorization.

5003012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24078 (or 24072 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5003012144 is about 70731.9739863098. The cubic root of 5003012144 is about 1710.3192573317.

Adding to 5003012144 its reverse (4412103005), we get a palindrome (9415115149).

The spelling of 5003012144 in words is "five billion, three million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 59 68 104 118 136 208 221 236 272 442 472 767 884 944 1003 1534 1768 2006 3068 3536 4012 6136 8024 12272 13039 16048 23981 26078 47962 52156 95924 104312 191848 208624 311753 383696 407677 623506 815354 1247012 1414879 1630708 2494024 2829758 3261416 4988048 5299801 5659516 6522832 10599602 11319032 18393427 21199204 22638064 24052943 36786854 42398408 48105886 73573708 84796816 96211772 147147416 192423544 294294832 312688259 384847088 625376518 1250753036 2501506072 5003012144