Search a number
-
+
4128422430 = 2351141305131
BaseRepresentation
bin1111011000010010…
…1011101000011110
3101122201100120220110
43312010223220132
531423334004210
61521354230450
7204210003666
oct36604535036
911581316813
104128422430
111829428970
12972725426
1350a407112
142b24231a6
15192691420
hexf612ba1e

4128422430 has 64 divisors (see below), whose sum is σ = 11072630016. Its totient is φ = 976416000.

The previous prime is 4128422393. The next prime is 4128422449. The reversal of 4128422430 is 342248214.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139036 + ... + 166095.

It is an arithmetic number, because the mean of its divisors is an integer number (173009844).

Almost surely, 24128422430 is an apocalyptic number.

4128422430 is an abundant number, since it is smaller than the sum of its proper divisors (6944207586).

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

4128422430 is a wasteful number, since it uses less digits than its factorization.

4128422430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305193.

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4128422430 is about 64252.8009506200. The cubic root of 4128422430 is about 1604.2105802367.

The spelling of 4128422430 in words is "four billion, one hundred twenty-eight million, four hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 13530 305131 610262 915393 1525655 1830786 3051310 3356441 4576965 6712882 9153930 10069323 12510371 16782205 20138646 25020742 33564410 37531113 50346615 62551855 75062226 100693230 125103710 137614081 187655565 275228162 375311130 412842243 688070405 825684486 1376140810 2064211215 4128422430