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1141221424 = 247175910159
BaseRepresentation
bin100010000000101…
…1010100000110000
32221112102001111011
41010001122200300
54314123041144
6305124200304
740165136110
oct10401324060
92845361434
101141221424
1153620a602
1227a239094
13152584465
14ab7cd040
156a2c9a34
hex4405a830

1141221424 has 80 divisors (see below), whose sum is σ = 2721254400. Its totient is φ = 452477952.

The previous prime is 1141221421. The next prime is 1141221467. The reversal of 1141221424 is 4241221411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1141221395 and 1141221404.

It is not an unprimeable number, because it can be changed into a prime (1141221421) 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, 107257 + ... + 117415.

It is an arithmetic number, because the mean of its divisors is an integer number (34015680).

Almost surely, 21141221424 is an apocalyptic number.

1141221424 is a gapful number since it is divisible by the number (14) 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 1141221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360627200).

1141221424 is an abundant number, since it is smaller than the sum of its proper divisors (1580032976).

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

1141221424 is a wasteful number, since it uses less digits than its factorization.

1141221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10244 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 1141221424 is about 33781.9689183446. The cubic root of 1141221424 is about 1045.0168793775.

Adding to 1141221424 its reverse (4241221411), we get a palindrome (5382442835).

The spelling of 1141221424 in words is "one billion, one hundred forty-one million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 59 68 112 118 119 136 236 238 272 413 472 476 826 944 952 1003 1652 1904 2006 3304 4012 6608 7021 8024 10159 14042 16048 20318 28084 40636 56168 71113 81272 112336 142226 162544 172703 284452 345406 568904 599381 690812 1137808 1198762 1208921 1381624 2397524 2417842 2763248 4195667 4795048 4835684 8391334 9590096 9671368 10189477 16782668 19342736 20378954 33565336 40757908 67130672 71326339 81515816 142652678 163031632 285305356 570610712 1141221424