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40106016125 = 53726839587
BaseRepresentation
bin100101010110100000…
…010011110101111101
310211112001112201021122
4211112200103311331
51124114120004000
630231403040325
72616602340500
oct452640236575
9124461481248
1040106016125
111601088957a
1279335100a5
133a220214b6
141d266c7137
15109ae79085
hex956813d7d

40106016125 has 48 divisors (see below), whose sum is σ = 58315443264. Its totient is φ = 27458138400.

The previous prime is 40106016121. The next prime is 40106016151. The reversal of 40106016125 is 52161060104.

It is not a de Polignac number, because 40106016125 - 22 = 40106016121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40106016094 and 40106016103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106016121) 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 47 ways as a sum of consecutive naturals, for example, 4178582 + ... + 4188168.

It is an arithmetic number, because the mean of its divisors is an integer number (1214905068).

Almost surely, 240106016125 is an apocalyptic number.

It is an amenable number.

40106016125 is a deficient number, since it is larger than the sum of its proper divisors (18209427139).

40106016125 is an equidigital number, since it uses as much as digits as its factorization.

40106016125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10282 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 40106016125 its reverse (52161060104), we get a palindrome (92267076229).

The spelling of 40106016125 in words is "forty billion, one hundred six million, sixteen thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 683 875 1225 3415 4781 6125 9587 17075 23905 33467 47935 67109 85375 119525 167335 239675 335545 469763 597625 836675 1198375 1677725 2348815 4183375 6547921 8388625 11744075 32739605 45835447 58720375 163698025 229177235 320848129 818490125 1145886175 1604240645 5729430875 8021203225 40106016125