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4115131240 = 2351117952249
BaseRepresentation
bin1111010101000111…
…1110101101101000
3101121210100022211011
43311101332231220
531411433144430
61520201313304
7203656016113
oct36521765550
911553308734
104115131240
111821980010
1296a195834
135077324cc
142b076357a
1519141822a
hexf547eb68

4115131240 has 64 divisors (see below), whose sum is σ = 10157400000. Its totient is φ = 1488023040.

The previous prime is 4115131219. The next prime is 4115131259. The reversal of 4115131240 is 421315114.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 52636 + ... + 104884.

It is an arithmetic number, because the mean of its divisors is an integer number (158709375).

Almost surely, 24115131240 is an apocalyptic number.

4115131240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078700000).

4115131240 is an abundant number, since it is smaller than the sum of its proper divisors (6042268760).

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

4115131240 is a wasteful number, since it uses less digits than its factorization.

4115131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52450 (or 52446 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 4115131240 is about 64149.2886944197. The cubic root of 4115131240 is about 1602.4871785858.

Adding to 4115131240 its reverse (421315114), we get a palindrome (4536446354).

The spelling of 4115131240 in words is "four billion, one hundred fifteen million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 7160 7876 9845 15752 19690 39380 52249 78760 104498 208996 261245 417992 522490 574739 1044980 1149478 2089960 2298956 2873695 4597912 5747390 9352571 11494780 18705142 22989560 37410284 46762855 74820568 93525710 102878281 187051420 205756562 374102840 411513124 514391405 823026248 1028782810 2057565620 4115131240