Search a number
-
+
4129368240 = 243517205701
BaseRepresentation
bin1111011000100001…
…0010100010110000
3101122210010122022110
43312020102202300
531424104240430
61521430405320
7204221023314
oct36610224260
911583118273
104129368240
111829a14528
12972b00840
1350a67877a
142b25cbb44
151927cb7b0
hexf62128b0

4129368240 has 40 divisors (see below), whose sum is σ = 12801042288. Its totient is φ = 1101164800.

The previous prime is 4129368233. The next prime is 4129368241. The reversal of 4129368240 is 428639214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4129368241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8602611 + ... + 8603090.

Almost surely, 24129368240 is an apocalyptic number.

4129368240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4129368240 is an abundant number, since it is smaller than the sum of its proper divisors (8671674048).

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

4129368240 is a wasteful number, since it uses less digits than its factorization.

4129368240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205717 (or 17205711 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4129368240 is about 64260.1605973717. The cubic root of 4129368240 is about 1604.3330775975. Note that the first 3 decimals are identical.

The spelling of 4129368240 in words is "four billion, one hundred twenty-nine million, three hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17205701 34411402 51617103 68822804 86028505 103234206 137645608 172057010 206468412 258085515 275291216 344114020 412936824 516171030 688228040 825873648 1032342060 1376456080 2064684120 4129368240