Search a number
-
+
9440242000 = 24537296329
BaseRepresentation
bin10001100101010111…
…01010100101010000
3220100220110222111121
420302223222211100
5123313200221000
64200425052024
7452636506300
oct106253524520
926326428447
109440242000
1140048525a2
1219b5627014
13b75a41617
14657a93600
153a3b8db1a
hex232aea950

9440242000 has 120 divisors (see below), whose sum is σ = 26553557160. Its totient is φ = 3236620800.

The previous prime is 9440241991. The next prime is 9440242013. The reversal of 9440242000 is 2420449.

It can be written as a sum of positive squares in 4 ways, for example, as 762201664 + 8678040336 = 27608^2 + 93156^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49836 + ... + 146164.

It is an arithmetic number, because the mean of its divisors is an integer number (221279643).

Almost surely, 29440242000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9440242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13276778580).

9440242000 is an abundant number, since it is smaller than the sum of its proper divisors (17113315160).

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

9440242000 is a wasteful number, since it uses less digits than its factorization.

9440242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96366 (or 96343 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 9440242000 is about 97160.9077767391. The cubic root of 9440242000 is about 2113.4616701567.

Adding to 9440242000 its reverse (2420449), we get a palindrome (9442662449).

The spelling of 9440242000 in words is "nine billion, four hundred forty million, two hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 96329 98000 192658 385316 481645 674303 770632 963290 1348606 1541264 1926580 2408225 2697212 3371515 3853160 4720121 4816450 5394424 6743030 7706320 9440242 9632900 10788848 12041125 13486060 16857575 18880484 19265800 23600605 24082250 26972120 33715150 37760968 38531600 47201210 48164500 53944240 67430300 75521936 84287875 94402420 96329000 118003025 134860600 168575750 188804840 192658000 236006050 269721200 337151500 377609680 472012100 590015125 674303000 944024200 1180030250 1348606000 1888048400 2360060500 4720121000 9440242000