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40191316425 = 3352135389971
BaseRepresentation
bin100101011011100101…
…101101000111001001
310211202000001102022000
4211123211231013021
51124302434111200
630244051221213
72621656360431
oct453345550711
9124660042260
1040191316425
1116054a4a997
127957ba7809
133a368b9250
141d33b6d2c1
1510a36c8300
hex95b96d1c9

40191316425 has 192 divisors, whose sum is σ = 82007251200. Its totient is φ = 19175270400.

The previous prime is 40191316381. The next prime is 40191316433. The reversal of 40191316425 is 52461319104.

It is a happy number.

40191316425 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 1 + 3 + 1 + 642 + 5 = 666.

It is not a de Polignac number, because 40191316425 - 28 = 40191316169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40191316425.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 41391190 + ... + 41392160.

It is an arithmetic number, because the mean of its divisors is an integer number (427121100).

Almost surely, 240191316425 is an apocalyptic number.

40191316425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40191316425 is an abundant number, since it is smaller than the sum of its proper divisors (41815934775).

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

40191316425 is a wasteful number, since it uses less digits than its factorization.

40191316425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40191316425 in words is "forty billion, one hundred ninety-one million, three hundred sixteen thousand, four hundred twenty-five".