Search a number
-
+
22003142440140 = 223252943223439583
BaseRepresentation
bin1010000000011000000010…
…11111010011010011001100
32212220110221211100212002200
411000030001133103103030
510340444413431041030
6114444034252321500
74430450244565011
oct500140137232314
985813854325080
1022003142440140
117013531317694
122574433a73290
13c37b6c8b2534
14560d5a1d1708
15282543b91d60
hex1403017d34cc

22003142440140 has 288 divisors, whose sum is σ = 70967003627520. Its totient is φ = 5508602491392.

The previous prime is 22003142440129. The next prime is 22003142440141. The reversal of 22003142440140 is 4104424130022.

22003142440140 is a `hidden beast` number, since 2 + 200 + 3 + 1 + 4 + 2 + 440 + 14 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (22003142440141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49834789 + ... + 50274371.

It is an arithmetic number, because the mean of its divisors is an integer number (246413207040).

Almost surely, 222003142440140 is an apocalyptic number.

22003142440140 is a gapful number since it is divisible by the number (20) 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 22003142440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35483501813760).

22003142440140 is an abundant number, since it is smaller than the sum of its proper divisors (48963861187380).

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

22003142440140 is a wasteful number, since it uses less digits than its factorization.

22003142440140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439893 (or 439888 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22003142440140 its reverse (4104424130022), we get a palindrome (26107566570162).

The spelling of 22003142440140 in words is "twenty-two trillion, three billion, one hundred forty-two million, four hundred forty thousand, one hundred forty".