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40233446505 = 3257218246461
BaseRepresentation
bin100101011110000110…
…011010110001101001
310211211221022211220100
4211132012122301221
51124344230242010
630252154220013
72623010436600
oct453606326151
9124757284810
1040233446505
111607680593a
12796a124609
133a4254a4a5
141d395b8a37
1510a724b2c0
hex95e19ac69

40233446505 has 36 divisors (see below), whose sum is σ = 81123770052. Its totient is φ = 18392431680.

The previous prime is 40233446501. The next prime is 40233446527. The reversal of 40233446505 is 50564433204.

40233446505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11385103401 + 28848343104 = 106701^2 + 169848^2 .

It is not a de Polignac number, because 40233446505 - 22 = 40233446501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40233446505.

It is not an unprimeable number, because it can be changed into a prime (40233446501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9121026 + ... + 9125435.

It is an arithmetic number, because the mean of its divisors is an integer number (2253438057).

Almost surely, 240233446505 is an apocalyptic number.

40233446505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40233446505 is an abundant number, since it is smaller than the sum of its proper divisors (40890323547).

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

40233446505 is a wasteful number, since it uses less digits than its factorization.

40233446505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246486 (or 18246476 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 40233446505 its reverse (50564433204), we get a palindrome (90797879709).

The spelling of 40233446505 in words is "forty billion, two hundred thirty-three million, four hundred forty-six thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 18246461 54739383 91232305 127725227 164218149 273696915 383175681 638626135 821090745 894076589 1149527043 1915878405 2682229767 4470382945 5747635215 8046689301 13411148835 40233446505