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40150133225 = 527338895657
BaseRepresentation
bin100101011001001000…
…100110100111101001
310211122010120002120022
4211121020212213221
51124211413230400
630240020410225
72620646333666
oct453110464751
9124563502508
1040150133225
1116033781394
127946246975
133a2b1c9ca7
141d2c4cca6d
15109ec90b85
hex9592269e9

40150133225 has 24 divisors (see below), whose sum is σ = 50490068280. Its totient is φ = 31666360320.

The previous prime is 40150133209. The next prime is 40150133249. The reversal of 40150133225 is 52233105104.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13412650969 + 26737482256 = 115813^2 + 163516^2 .

It is not a de Polignac number, because 40150133225 - 24 = 40150133209 is a prime.

It is a super-2 number, since 2×401501332252 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40150133194 and 40150133203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7094597 + ... + 7100253.

It is an arithmetic number, because the mean of its divisors is an integer number (2103752845).

Almost surely, 240150133225 is an apocalyptic number.

It is an amenable number.

40150133225 is a deficient number, since it is larger than the sum of its proper divisors (10339935055).

40150133225 is a wasteful number, since it uses less digits than its factorization.

40150133225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9629 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 40150133225 its reverse (52233105104), we get a palindrome (92383238329).

The spelling of 40150133225 in words is "forty billion, one hundred fifty million, one hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 1825 3889 5657 19445 28285 97225 141425 283897 412961 1419485 2064805 7097425 10324025 22000073 110000365 550001825 1606005329 8030026645 40150133225