Search a number
-
+
240000420033 = 321123886711887
BaseRepresentation
bin1101111110000100100…
…0111100100011000001
3211221111001010120011200
43133201020330203001
512413010101420113
6302131001531413
723224301624253
oct3374110744301
9757431116150
10240000420033
1192868a86880
123a61b7a3b69
131982a4ba97a
14b88a75bcd3
156399ee0873
hex37e123c8c1

240000420033 has 48 divisors (see below), whose sum is σ = 394702903296. Its totient is φ = 139103284320.

The previous prime is 240000420019. The next prime is 240000420041. The reversal of 240000420033 is 330024000042.

240000420033 is a `hidden beast` number, since 240 + 0 + 0 + 0 + 420 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 240000420033 - 24 = 240000420017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240000419988 and 240000420015.

It is not an unprimeable number, because it can be changed into a prime (240000420013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20184216 + ... + 20196102.

It is an arithmetic number, because the mean of its divisors is an integer number (8222977152).

Almost surely, 2240000420033 is an apocalyptic number.

240000420033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

240000420033 is a deficient number, since it is larger than the sum of its proper divisors (154702483263).

240000420033 is a wasteful number, since it uses less digits than its factorization.

240000420033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20794 (or 20791 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 240000420033 its reverse (330024000042), we get a palindrome (570024420075).

The spelling of 240000420033 in words is "two hundred forty billion, four hundred twenty thousand, thirty-three".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 8867 11887 26601 35661 79803 97537 106983 130757 203941 273401 292611 392271 611823 820203 877833 1176813 1835469 2243351 2460609 3007411 6730053 9022233 20190159 27066699 105402029 316206087 948618261 1159422319 2424246667 3478266957 7272740001 10434800871 21818220003 26666713337 80000140011 240000420033