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9404444049 = 37111313722859
BaseRepresentation
bin10001100001000110…
…00110110110010001
3220021102010020221120
420300203012312101
5123230014202144
64153105512453
7452023312140
oct106043066621
926242106846
109404444049
113a96622010
1219a5642729
13b6b4b95c0
14653015757
153a096be19
hex2308c6d91

9404444049 has 64 divisors (see below), whose sum is σ = 16959559680. Its totient is φ = 4476510720.

The previous prime is 9404443981. The next prime is 9404444131.

9404444049 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9404444049 - 212 = 9404439953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9404444049.

It is not an unprimeable number, because it can be changed into a prime (9404445049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399982 + ... + 422840.

It is an arithmetic number, because the mean of its divisors is an integer number (264993120).

Almost surely, 29404444049 is an apocalyptic number.

It is an amenable number.

9404444049 is a deficient number, since it is larger than the sum of its proper divisors (7555115631).

9404444049 is a wasteful number, since it uses less digits than its factorization.

9404444049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23030.

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 9404444049 is about 96976.5128729632. The cubic root of 9404444049 is about 2110.7868294068.

The spelling of 9404444049 in words is "nine billion, four hundred four million, four hundred forty-four thousand, forty-nine".

Divisors: 1 3 7 11 13 21 33 39 77 91 137 143 231 273 411 429 959 1001 1507 1781 2877 3003 4521 5343 10549 12467 19591 22859 31647 37401 58773 68577 137137 160013 251449 297167 411411 480039 754347 891501 1760143 2080169 3131683 3268837 5280429 6240507 9395049 9806511 21921781 22881859 34448513 40711879 65765343 68645577 103345539 122135637 241139591 284983153 447830669 723418773 854949459 1343492007 3134814683 9404444049