Search a number
-
+
4402396089000 = 233453713245943
BaseRepresentation
bin100000000010000001101…
…0000010100101010101000
3120120212100112221000010000
41000010003100110222220
51034112101344322000
613210233254423000
7633030323221260
oct100040320245250
916525315830100
104402396089000
111448055905108
125b1269661a60
1325c1b4983500
141131118247a0
15797b2e06000
hex40103414aa8

4402396089000 has 960 divisors, whose sum is σ = 19044567210240. Its totient is φ = 928836979200.

The previous prime is 4402396088999. The next prime is 4402396089031. The reversal of 4402396089000 is 9806932044.

4402396089000 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 39 + 608 + 9 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 95800029 + ... + 95845971.

It is an arithmetic number, because the mean of its divisors is an integer number (19838090844).

Almost surely, 24402396089000 is an apocalyptic number.

4402396089000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402396089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522283605120).

4402396089000 is an abundant number, since it is smaller than the sum of its proper divisors (14642171121240).

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

4402396089000 is a wasteful number, since it uses less digits than its factorization.

4402396089000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46009 (or 45973 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4402396089000 in words is "four trillion, four hundred two billion, three hundred ninety-six million, eighty-nine thousand".