Search a number
-
+
40337508964 = 2213727332
BaseRepresentation
bin100101100100010011…
…011000101001100100
310212010012010202202111
4211210103120221210
51130102400241324
630310352450404
72625413111644
oct454423305144
9125105122674
1040337508964
111611a521575
127998b49a04
133a5ac840cc
141d49346524
1510b1454794
hex9644d8a64

40337508964 has 27 divisors (see below), whose sum is σ = 71206806027. Its totient is φ = 19994222784.

The previous prime is 40337508961. The next prime is 40337508983. The reversal of 40337508964 is 46980573304.

The square root of 40337508964 is 200842.

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 17753430564 + 22584078400 = 133242^2 + 150280^2 .

It is a super-2 number, since 2×403375089642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40337508961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55030342 + ... + 55031074.

Almost surely, 240337508964 is an apocalyptic number.

40337508964 is the 200842-nd square number.

It is an amenable number.

40337508964 is a deficient number, since it is larger than the sum of its proper divisors (30869297063).

40337508964 is an frugal number, since it uses more digits than its factorization.

40337508964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 40337508964 by its sum of digits (49), we get a square (1976537939236 = 14058942).

The spelling of 40337508964 in words is "forty billion, three hundred thirty-seven million, five hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 137 274 548 733 1466 2932 18769 37538 75076 100421 200842 401684 537289 1074578 2149156 13757677 27515354 55030708 73608593 147217186 294434372 10084377241 20168754482 40337508964