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4112214015 = 3572133113883
BaseRepresentation
bin1111010100011011…
…0110011111111111
3101121120212010010210
43311012312133333
531410211322030
61520015003503
7203622146100
oct36506663777
911546763123
104112214015
111820268288
12969209593
13506c50740
142b02043a7
1519103dbb0
hexf51b67ff

4112214015 has 96 divisors (see below), whose sum is σ = 8509003776. Its totient is φ = 1679166720.

The previous prime is 4112214013. The next prime is 4112214019. The reversal of 4112214015 is 5104122114.

It is not a de Polignac number, because 4112214015 - 21 = 4112214013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4112213982 and 4112214000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112214013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289264 + ... + 303146.

It is an arithmetic number, because the mean of its divisors is an integer number (88635456).

Almost surely, 24112214015 is an apocalyptic number.

4112214015 is an abundant number, since it is smaller than the sum of its proper divisors (4396789761).

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

4112214015 is a wasteful number, since it uses less digits than its factorization.

4112214015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13949 (or 13942 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 4112214015 is about 64126.5468819271. The cubic root of 4112214015 is about 1602.1084202519.

Adding to 4112214015 its reverse (5104122114), we get a palindrome (9216336129).

The spelling of 4112214015 in words is "four billion, one hundred twelve million, two hundred fourteen thousand, fifteen".

Divisors: 1 3 5 7 13 15 21 31 35 39 49 65 91 93 105 147 155 195 217 245 273 403 455 465 637 651 735 1085 1209 1365 1519 1911 2015 2821 3185 3255 4557 6045 7595 8463 9555 13883 14105 19747 22785 41649 42315 59241 69415 97181 98735 180479 208245 291543 296205 430373 485905 541437 680267 902395 1263353 1291119 1457715 2040801 2151865 2707185 3012611 3401335 3790059 5594849 6316765 6455595 8843471 9037833 10204005 15063055 16784547 18950295 21088277 26530413 27974245 39163943 44217355 45189165 63264831 83922735 105441385 117491829 132652065 195819715 274147601 316324155 587459145 822442803 1370738005 4112214015