Search a number
-
+
11444122420 = 22523163152629
BaseRepresentation
bin10101010100001111…
…10111001100110100
31002112120010122122221
422222013313030310
5141414143404140
65131331132124
7553411302253
oct125207671464
932476118587
1011444122420
1149429aa615
122274744044
131104c46c93
147a7c7c79a
1546ea6b14a
hex2aa1f7334

11444122420 has 48 divisors (see below), whose sum is σ = 25231570560. Its totient is φ = 4351729536.

The previous prime is 11444122337. The next prime is 11444122421. The reversal of 11444122420 is 2422144411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444122421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 151294.

It is an arithmetic number, because the mean of its divisors is an integer number (525657720).

Almost surely, 211444122420 is an apocalyptic number.

11444122420 is a gapful number since it is divisible by the number (10) 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 11444122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615785280).

11444122420 is an abundant number, since it is smaller than the sum of its proper divisors (13787448140).

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

11444122420 is a wasteful number, since it uses less digits than its factorization.

11444122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152824 (or 152822 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 11444122420 its reverse (2422144411), we get a palindrome (13866266831).

The spelling of 11444122420 in words is "eleven billion, four hundred forty-four million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 652 815 1630 3260 3749 7498 14996 18745 37490 74980 152629 305258 610516 763145 1526290 3052580 3510467 7020934 14041868 17552335 24878527 35104670 49757054 70209340 99514108 124392635 248785270 497570540 572206121 1144412242 2288824484 2861030605 5722061210 11444122420