Search a number
-
+
4204044245340 = 2233510986382763
BaseRepresentation
bin111101001011010100100…
…100000101100101011100
3112212220101001221100002000
4331023110210011211130
51022334340311322330
612535151122202300
7612506064322632
oct75132444054534
915786331840060
104204044245340
111380a1a417195
1257a931ab3390
13246593c5b294
141076965b1352
15745544e4560
hex3d2d490595c

4204044245340 has 192 divisors, whose sum is σ = 13214696140800. Its totient is φ = 1109492805888.

The previous prime is 4204044245329. The next prime is 4204044245351. The reversal of 4204044245340 is 435424404024.

4204044245340 is a `hidden beast` number, since 4 + 2 + 0 + 404 + 4 + 245 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4204044245329) and next prime (4204044245351).

It is a super-2 number, since 2×42040442453402 (a number of 26 digits) contains 22 as substring.

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 = 4204044245295 and 4204044245304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50754799 + ... + 50837561.

It is an arithmetic number, because the mean of its divisors is an integer number (68826542400).

Almost surely, 24204044245340 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 4204044245340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607348070400).

4204044245340 is an abundant number, since it is smaller than the sum of its proper divisors (9010651895460).

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

4204044245340 is a wasteful number, since it uses less digits than its factorization.

4204044245340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83753 (or 83745 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 4204044245340 its reverse (435424404024), we get a palindrome (4639468649364).

The spelling of 4204044245340 in words is "four trillion, two hundred four billion, forty-four million, two hundred forty-five thousand, three hundred forty".