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1141251144 = 2331138311287
BaseRepresentation
bin100010000000110…
…0001110001001000
32221112110120020220
41010001201301020
54314130014034
6305124550040
740165321545
oct10401416110
92845416226
101141251144
1153622a970
1227a252320
13152594b47
14ab7d9bcc
156a2d3749
hex44061c48

1141251144 has 64 divisors (see below), whose sum is σ = 3120906240. Its totient is φ = 344900160.

The previous prime is 1141251119. The next prime is 1141251149. The reversal of 1141251144 is 4411521411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1141251149) 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, 95469 + ... + 106755.

It is an arithmetic number, because the mean of its divisors is an integer number (48764160).

Almost surely, 21141251144 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 1141251144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560453120).

1141251144 is an abundant number, since it is smaller than the sum of its proper divisors (1979655096).

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

1141251144 is a wasteful number, since it uses less digits than its factorization.

1141251144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690 (or 11686 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 1141251144 is about 33782.4087951111. The cubic root of 1141251144 is about 1045.0259508371.

Adding to 1141251144 its reverse (4411521411), we get a palindrome (5552772555).

The spelling of 1141251144 in words is "one billion, one hundred forty-one million, two hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 383 766 1149 1532 2298 3064 4213 4596 8426 9192 11287 12639 16852 22574 25278 33704 33861 45148 50556 67722 90296 101112 124157 135444 248314 270888 372471 496628 744942 993256 1489884 2979768 4322921 8645842 12968763 17291684 25937526 34583368 47552131 51875052 95104262 103750104 142656393 190208524 285312786 380417048 570625572 1141251144