Search a number
-
+
4000124219 = 713137499643
BaseRepresentation
bin1110111001101101…
…0000110100111011
3101022202221100211212
43232123100310323
531143012433334
61500532313335
7201061331510
oct35633206473
911282840755
104000124219
111772a69593
1293777284b
134b9966110
1429d387307
1518629bece
hexee6d0d3b

4000124219 has 32 divisors (see below), whose sum is σ = 4976832000. Its totient is φ = 3130659072.

The previous prime is 4000124213. The next prime is 4000124237. The reversal of 4000124219 is 9124210004.

It is a cyclic number.

It is not a de Polignac number, because 4000124219 - 220 = 3999075643 is a prime.

It is a super-2 number, since 2×40001242192 = 32001987534860719922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000124194 and 4000124203.

It is not an unprimeable number, because it can be changed into a prime (4000124213) 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 31 ways as a sum of consecutive naturals, for example, 6220712 + ... + 6221354.

It is an arithmetic number, because the mean of its divisors is an integer number (155526000).

Almost surely, 24000124219 is an apocalyptic number.

4000124219 is a deficient number, since it is larger than the sum of its proper divisors (976707781).

4000124219 is a wasteful number, since it uses less digits than its factorization.

4000124219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 4000124219 is about 63246.5352331651. The cubic root of 4000124219 is about 1587.4174839124.

The spelling of 4000124219 in words is "four billion, one hundred twenty-four thousand, two hundred nineteen".

Divisors: 1 7 13 91 137 499 643 959 1781 3493 4501 6487 8359 12467 45409 58513 68363 88091 320857 478541 616637 888719 1145183 2245999 4171141 6221033 8016281 29197987 43957409 307701863 571446317 4000124219