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40369248241 = 72287032
BaseRepresentation
bin100101100110001100…
…011101011111110001
310212012101212021212021
4211212030131133301
51130134011420431
630313445031441
72626246643200
oct454614353761
9125171767767
1040369248241
111613642a783
1279a76b5581
133a6471794a
141d4d649237
1510b4123b11
hex96631d7f1

40369248241 has 9 divisors (see below), whose sum is σ = 46961782041. Its totient is φ = 34601007252.

The previous prime is 40369248239. The next prime is 40369248253. The reversal of 40369248241 is 14284296304.

The square root of 40369248241 is 200921.

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

It is not a de Polignac number, because 40369248241 - 21 = 40369248239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40369248641) 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, 1392096 + ... + 1420798.

Almost surely, 240369248241 is an apocalyptic number.

40369248241 is the 200921-st square number.

40369248241 is the 100461-st centered octagonal number.

It is an amenable number.

40369248241 is a deficient number, since it is larger than the sum of its proper divisors (6592533800).

40369248241 is an frugal number, since it uses more digits than its factorization.

40369248241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57420 (or 28710 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 40369248241 in words is "forty billion, three hundred sixty-nine million, two hundred forty-eight thousand, two hundred forty-one".

Divisors: 1 7 49 28703 200921 1406447 823862209 5767035463 40369248241