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41074318224 = 2432168892
BaseRepresentation
bin100110010000001110…
…000101101110010000
310221000112120120001100
4212100032011232100
51133110011140344
630511433104400
72652600641622
oct462016055620
9127015516040
1041074318224
1116468422245
127b63858100
133b47810914
141db9142c12
151105e98569
hex990385b90

41074318224 has 45 divisors (see below), whose sum is σ = 114957850033. Its totient is φ = 13690628736.

The previous prime is 41074318213. The next prime is 41074318249. The reversal of 41074318224 is 42281347014.

The square root of 41074318224 is 202668.

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

41074318224 is a `hidden beast` number, since 410 + 7 + 4 + 3 + 18 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1393678224 + 39680640000 = 37332^2 + 199200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2423572 + ... + 2440460.

Almost surely, 241074318224 is an apocalyptic number.

41074318224 is the 202668-th square number.

It is an amenable number.

41074318224 is an abundant number, since it is smaller than the sum of its proper divisors (73883531809).

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

41074318224 is an frugal number, since it uses more digits than its factorization.

41074318224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33792 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 41074318224 by its sum of digits (36), we get a square (1478675456064 = 12160082).

41074318224 divided by its sum of digits (36) gives a square (1140953284 = 337782).

The spelling of 41074318224 in words is "forty-one billion, seventy-four million, three hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16889 33778 50667 67556 101334 135112 152001 202668 270224 304002 405336 608004 810672 1216008 2432016 285238321 570476642 855714963 1140953284 1711429926 2281906568 2567144889 3422859852 4563813136 5134289778 6845719704 10268579556 13691439408 20537159112 41074318224