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40053221145 = 335759718379
BaseRepresentation
bin100101010011010110…
…111010011100011001
310211101101012110012000
4211103112322130121
51124012111034040
630222235311213
72615361522330
oct452326723431
9124341173160
1040053221145
1115a93aa9963
1279198ab509
133a140c7b72
141d1d6a2d17
1510964eb130
hex9535ba719

40053221145 has 64 divisors (see below), whose sum is σ = 82757376000. Its totient is φ = 17999679168.

The previous prime is 40053221101. The next prime is 40053221147. The reversal of 40053221145 is 54112235004.

40053221145 is a `hidden beast` number, since 400 + 5 + 3 + 2 + 211 + 45 = 666.

It is not a de Polignac number, because 40053221145 - 26 = 40053221081 is a prime.

It is a super-2 number, since 2×400532211452 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40053221147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303435 + ... + 414944.

It is an arithmetic number, because the mean of its divisors is an integer number (1293084000).

Almost surely, 240053221145 is an apocalyptic number.

40053221145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40053221145 is an abundant number, since it is smaller than the sum of its proper divisors (42704154855).

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

40053221145 is a wasteful number, since it uses less digits than its factorization.

40053221145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718459 (or 718453 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 40053221145 its reverse (54112235004), we get a palindrome (94165456149).

The spelling of 40053221145 in words is "forty billion, fifty-three million, two hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 105 135 177 189 295 315 413 531 885 945 1239 1593 2065 2655 3717 6195 7965 11151 18585 55755 718379 2155137 3591895 5028653 6465411 10775685 15085959 19396233 25143265 32327055 42384361 45257877 75429795 96981165 127153083 135773631 211921805 226289385 296690527 381459249 635765415 678868155 890071581 1144377747 1483452635 1907296245 2670214743 4450357905 5721888735 8010644229 13351073715 40053221145