Search a number
-
+
41311375504 = 2474172612
BaseRepresentation
bin100110011110010110…
…011001000010010000
310221122001122022111121
4212132112121002100
51134101203004004
630551142052024
72661506620000
oct463626310220
9127561568447
1041311375504
111657a215953
12800b11a014
133b849711b9
141ddc810000
15111bbc2854
hex99e599090

41311375504 has 225 divisors, whose sum is σ = 100843873611. Its totient is φ = 16390241280.

The previous prime is 41311375439. The next prime is 41311375507. The reversal of 41311375504 is 40557311314.

The square root of 41311375504 is 203252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3811827600 + 37499547904 = 61740^2 + 193648^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41311375504.

It is not an unprimeable number, because it can be changed into a prime (41311375507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 677235634 + ... + 677235694.

Almost surely, 241311375504 is an apocalyptic number.

41311375504 is the 203252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41311375504

41311375504 is an abundant number, since it is smaller than the sum of its proper divisors (59532498107).

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

41311375504 is an frugal number, since it uses more digits than its factorization.

41311375504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 41311375504 its reverse (40557311314), we get a palindrome (81868686818).

The spelling of 41311375504 in words is "forty-one billion, three hundred eleven million, three hundred seventy-five thousand, five hundred four".