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4166260040 = 2351753115601
BaseRepresentation
bin1111100001010100…
…0001010101001000
3101202100112221100102
43320111001111020
532013030310130
61525225224532
7205146424505
oct37025012510
911670487312
104166260040
111848821918
12983332148
135151c4637
142b74724ac
15195b67645
hexf8541548

4166260040 has 64 divisors (see below), whose sum is σ = 10112862960. Its totient is φ = 1538867200.

The previous prime is 4166260001. The next prime is 4166260103. The reversal of 4166260040 is 400626614.

It can be written as a sum of positive squares in 8 ways, for example, as 3994492804 + 171767236 = 63202^2 + 13106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4166259985 and 4166260012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21761 + ... + 93840.

Almost surely, 24166260040 is an apocalyptic number.

4166260040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4166260040 is an abundant number, since it is smaller than the sum of its proper divisors (5946602920).

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

4166260040 is a wasteful number, since it uses less digits than its factorization.

4166260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115682 (or 115678 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4166260040 is about 64546.5726433248. The cubic root of 4166260040 is about 1609.0966268091.

Adding to 4166260040 its reverse (400626614), we get a palindrome (4566886654).

The spelling of 4166260040 in words is "four billion, one hundred sixty-six million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3604 4505 7208 9010 18020 36040 115601 231202 462404 578005 924808 1156010 1965217 2312020 3930434 4624040 6126853 7860868 9826085 12253706 15721736 19652170 24507412 30634265 39304340 49014824 61268530 78608680 104156501 122537060 208313002 245074120 416626004 520782505 833252008 1041565010 2083130020 4166260040