Search a number
-
+
11041422390 = 233564363599
BaseRepresentation
bin10100100100001111…
…01011110000110110
31001111111101101002000
422102013223300312
5140103101004030
65023344000130
7540421353555
oct122207536066
931444341060
1011041422390
114756660079
122181900046
13106c69b73b
1476a5b3d9c
15449522860
hex2921ebc36

11041422390 has 64 divisors (see below), whose sum is σ = 29490048000. Its totient is φ = 2939753952.

The previous prime is 11041422373. The next prime is 11041422391. The reversal of 11041422390 is 9322414011.

It is a happy number.

11041422390 is a `hidden beast` number, since 1 + 10 + 414 + 2 + 239 + 0 = 666.

11041422390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041422391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141811 + ... + 205409.

It is an arithmetic number, because the mean of its divisors is an integer number (460782000).

Almost surely, 211041422390 is an apocalyptic number.

11041422390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11041422390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745024000).

11041422390 is an abundant number, since it is smaller than the sum of its proper divisors (18448625610).

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

11041422390 is a wasteful number, since it uses less digits than its factorization.

11041422390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64258 (or 64252 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11041422390 in words is "eleven billion, forty-one million, four hundred twenty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 643 1286 1929 3215 3858 5787 6430 9645 11574 17361 19290 28935 34722 57870 63599 86805 127198 173610 190797 317995 381594 572391 635990 953985 1144782 1717173 1907970 2861955 3434346 5723910 8585865 17171730 40894157 81788314 122682471 204470785 245364942 368047413 408941570 613412355 736094826 1104142239 1226824710 1840237065 2208284478 3680474130 5520711195 11041422390