Search a number
-
+
4013444140035 = 3511418274909
BaseRepresentation
bin111010011001110011111…
…010011000110000000011
3112012200101211012202222120
4322121303322120300003
51011224013144440120
612311430100335323
7562650613212501
oct72316372306003
915180354182876
104013444140035
111308101650000
125499ba3a4543
1323160a1c4a95
14dc374a7d671
156e5eb3de140
hex3a673e98c03

4013444140035 has 40 divisors (see below), whose sum is σ = 7063618213200. Its totient is φ = 1945912203840.

The previous prime is 4013444140003. The next prime is 4013444140081. The reversal of 4013444140035 is 5300414443104.

4013444140035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4013444140035 - 25 = 4013444140003 is a prime.

It is a super-2 number, since 2×40134441400352 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4013444139978 and 4013444140005.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8917840 + ... + 9357069.

It is an arithmetic number, because the mean of its divisors is an integer number (176590455330).

Almost surely, 24013444140035 is an apocalyptic number.

4013444140035 is a deficient number, since it is larger than the sum of its proper divisors (3050174073165).

4013444140035 is an equidigital number, since it uses as much as digits as its factorization.

4013444140035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18274961 (or 18274928 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 4013444140035 its reverse (5300414443104), we get a palindrome (9313858583139).

The spelling of 4013444140035 in words is "four trillion, thirteen billion, four hundred forty-four million, one hundred forty thousand, thirty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1331 1815 3993 6655 14641 19965 43923 73205 219615 18274909 54824727 91374545 201023999 274123635 603071997 1005119995 2211263989 3015359985 6633791967 11056319945 24323903879 33168959835 72971711637 121619519395 267562942669 364858558185 802688828007 1337814713345 4013444140035