Search a number
-
+
4001420033 = 1317167181599
BaseRepresentation
bin1110111010000000…
…1101001100000001
3101022212101012100222
43232200031030001
531143330420113
61501020152425
7201105336422
oct35640151401
911285335328
104001420033
111773774106
12938098715
134b9ccab80
1429d603649
15186455e08
hexee80d301

4001420033 has 32 divisors (see below), whose sum is σ = 4623091200. Its totient is φ = 3430702080.

The previous prime is 4001420011. The next prime is 4001420057. The reversal of 4001420033 is 3300241004.

It is a de Polignac number, because none of the positive numbers 2k-4001420033 is a prime.

It is a super-2 number, since 2×40014200332 = 32022724560987442178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 4001419993 and 4001420020.

It is not an unprimeable number, because it can be changed into a prime (4001423033) 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 31 ways as a sum of consecutive naturals, for example, 6679868 + ... + 6680466.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 24001420033 is an apocalyptic number.

It is an amenable number.

4001420033 is a deficient number, since it is larger than the sum of its proper divisors (621671167).

4001420033 is a wasteful number, since it uses less digits than its factorization.

4001420033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4001420033 is about 63256.7785537645. The cubic root of 4001420033 is about 1587.5888765667.

Adding to 4001420033 its reverse (3300241004), we get a palindrome (7301661037).

The spelling of 4001420033 in words is "four billion, one million, four hundred twenty thousand, thirty-three".

Divisors: 1 13 17 167 181 221 599 2171 2353 2839 3077 7787 10183 30227 36907 40001 100033 108419 132379 392951 513859 1300429 1409447 1700561 1843123 6680167 18105973 22107293 23960599 235377649 307801541 4001420033