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40940261569 = 3126121072
BaseRepresentation
bin100110001000001110…
…101101000011000001
310220200012022202220001
4212020032231003001
51132321201332234
630450243520001
72646352324114
oct461016550301
9126605282801
1040940261569
11163a978a519
127b26989001
133b25b0485c
141da540857b
1510e9317d14
hex9883ad0c1

40940261569 has 27 divisors (see below), whose sum is σ = 43414090083. Its totient is φ = 38605899600.

The previous prime is 40940261563. The next prime is 40940261581. The reversal of 40940261569 is 96516204904.

The square root of 40940261569 is 202337.

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

It can be written as a sum of positive squares in only one way, i.e., 1331301169 + 39608960400 = 36487^2 + 199020^2 .

It is not a de Polignac number, because 40940261569 - 29 = 40940261057 is a prime.

It is a super-2 number, since 2×409402615692 (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 (40940261563) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 382619214 + ... + 382619320.

Almost surely, 240940261569 is an apocalyptic number.

40940261569 is the 202337-th square number.

40940261569 is the 101169-th centered octagonal number.

It is an amenable number.

40940261569 is a deficient number, since it is larger than the sum of its proper divisors (2473828514).

40940261569 is an frugal number, since it uses more digits than its factorization.

40940261569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 40940261569 in words is "forty billion, nine hundred forty million, two hundred sixty-one thousand, five hundred sixty-nine".

Divisors: 1 31 61 107 961 1891 3317 3721 6527 11449 58621 102827 115351 202337 354919 398147 698389 3575881 6272447 11002489 12342557 21650059 42601729 382619267 671151829 1320653599 40940261569