Search a number
-
+
5141173000 = 235317412953
BaseRepresentation
bin1001100100111000…
…00001001100001000
3111021022000122111211
410302130001030020
541012120014000
62210053102504
7241255151365
oct46234011410
914238018454
105141173000
1121a9070407
12bb5927a34
1363c189b02
1436ab2d46c
152015407ba
hex132701308

5141173000 has 64 divisors (see below), whose sum is σ = 12041331120. Its totient is φ = 2054592000.

The previous prime is 5141172991. The next prime is 5141173001. The reversal of 5141173000 is 3711415.

It can be written as a sum of positive squares in 8 ways, for example, as 3437316 + 5137735684 = 1854^2 + 71678^2 .

It is not an unprimeable number, because it can be changed into a prime (5141173001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739524 + ... + 1742476.

Almost surely, 25141173000 is an apocalyptic number.

5141173000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141173000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020665560).

5141173000 is an abundant number, since it is smaller than the sum of its proper divisors (6900158120).

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

5141173000 is a wasteful number, since it uses less digits than its factorization.

5141173000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 5141173000 is about 71701.9734735384. The cubic root of 5141173000 is about 1725.9203098676.

Adding to 5141173000 its reverse (3711415), we get a palindrome (5144884415).

The spelling of 5141173000 in words is "five billion, one hundred forty-one million, one hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1741 2953 3482 5906 6964 8705 11812 13928 14765 17410 23624 29530 34820 43525 59060 69640 73825 87050 118120 147650 174100 217625 295300 348200 369125 435250 590600 738250 870500 1476500 1741000 2953000 5141173 10282346 20564692 25705865 41129384 51411730 102823460 128529325 205646920 257058650 514117300 642646625 1028234600 1285293250 2570586500 5141173000