Search a number
-
+
4420432340244 = 2232167735268187
BaseRepresentation
bin100000001010011011001…
…0011001010010100010100
3120122120220112022111111100
41000110312103022110110
51034411021134341434
613222415114110100
7634236301636164
oct100246623122424
916576815274440
104420432340244
1114547708a7678
125b4861a1b330
13260aca56721b
14113d42daa5a4
1579ebb570699
hex405364ca514

4420432340244 has 36 divisors (see below), whose sum is σ = 11240780058144. Its totient is φ = 1464654226512.

The previous prime is 4420432340201. The next prime is 4420432340249.

4420432340244 is a `hidden beast` number, since 4 + 4 + 204 + 3 + 2 + 3 + 402 + 44 = 666.

4420432340244 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4420432340199 and 4420432340208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420432340249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367628082 + ... + 367640105.

It is an arithmetic number, because the mean of its divisors is an integer number (312243890504).

Almost surely, 24420432340244 is an apocalyptic number.

It is an amenable number.

4420432340244 is an abundant number, since it is smaller than the sum of its proper divisors (6820347717900).

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

4420432340244 is a wasteful number, since it uses less digits than its factorization.

4420432340244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735268364 (or 735268359 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 4420432340244 in words is "four trillion, four hundred twenty billion, four hundred thirty-two million, three hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 668 1002 1503 2004 3006 6012 735268187 1470536374 2205804561 2941072748 4411609122 6617413683 8823218244 13234827366 26469654732 122789787229 245579574458 368369361687 491159148916 736738723374 1105108085061 1473477446748 2210216170122 4420432340244