[go: up one dir, main page]

Search a number
-
+
4014946712 = 23731786069
BaseRepresentation
bin1110111101001111…
…0011100110011000
3101100210211102111002
43233103303212120
531210311243322
61502222124132
7201331325000
oct35723634630
911323742432
104014946712
111780372987
12940720648
134bca55a1a
142a1325000
15187728c92
hexef4f3998

4014946712 has 64 divisors (see below), whose sum is σ = 9295560000. Its totient is φ = 1619455488.

The previous prime is 4014946711. The next prime is 4014946757. The reversal of 4014946712 is 2176494104.

It is a super-2 number, since 2×40149467122 = 32239594200399221888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014946711) 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 15 ways as a sum of consecutive naturals, for example, 3614 + ... + 89682.

It is an arithmetic number, because the mean of its divisors is an integer number (145243125).

Almost surely, 24014946712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014946712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647780000).

4014946712 is an abundant number, since it is smaller than the sum of its proper divisors (5280613288).

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

4014946712 is a wasteful number, since it uses less digits than its factorization.

4014946712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86113 (or 86095 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4014946712 is about 63363.6071574212. The cubic root of 4014946712 is about 1589.3757965413.

The spelling of 4014946712 in words is "four billion, fourteen million, nine hundred forty-six thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 343 392 476 686 833 952 1372 1666 2744 3332 5831 6664 11662 23324 46648 86069 172138 344276 602483 688552 1204966 1463173 2409932 2926346 4217381 4819864 5852692 8434762 10242211 11705384 16869524 20484422 29521667 33739048 40968844 59043334 71695477 81937688 118086668 143390954 236173336 286781908 501868339 573563816 1003736678 2007473356 4014946712