Search a number
-
+
5031145104 = 2431711354563
BaseRepresentation
bin1001010111110000…
…10010111010010000
3110222121222122121120
410223320102322100
540300433120404
62151122522240
7235451012346
oct45370227220
913877878546
105031145104
112151a4a867
12b84b06380
13622444b4b
1435a28b996
151e6a599d9
hex12be12e90

5031145104 has 80 divisors (see below), whose sum is σ = 13883700672. Its totient is φ = 1564401664.

The previous prime is 5031145103. The next prime is 5031145117. The reversal of 5031145104 is 4015411305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5031145103) 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, 64927 + ... + 119489.

Almost surely, 25031145104 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 5031145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941850336).

5031145104 is an abundant number, since it is smaller than the sum of its proper divisors (8852555568).

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

5031145104 is a wasteful number, since it uses less digits than its factorization.

5031145104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54704 (or 54698 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5031145104 is about 70930.5653720595. The cubic root of 5031145104 is about 1713.5190919664.

Adding to 5031145104 its reverse (4015411305), we get a palindrome (9046556409).

The spelling of 5031145104 in words is "five billion, thirty-one million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 204 226 272 339 408 452 678 816 904 1356 1808 1921 2712 3842 5424 5763 7684 11526 15368 23052 30736 46104 54563 92208 109126 163689 218252 327378 436504 654756 873008 927571 1309512 1855142 2619024 2782713 3710284 5565426 6165619 7420568 11130852 12331238 14841136 18496857 22261704 24662476 36993714 44523408 49324952 73987428 98649904 104815523 147974856 209631046 295949712 314446569 419262092 628893138 838524184 1257786276 1677048368 2515572552 5031145104