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1141334832 = 243118872437
BaseRepresentation
bin100010000000111…
…0110001100110000
32221112121211001110
41010001312030300
54314140203312
6305130433320
740166120541
oct10401661460
92845554043
101141334832
11536287830
1227a292840
131525c3c71
14ab81c4c8
156a2ed43c
hex44076330

1141334832 has 80 divisors (see below), whose sum is σ = 3221436672. Its totient is φ = 345327360.

The previous prime is 1141334813. The next prime is 1141334861. The reversal of 1141334832 is 2384331411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1141334832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467118 + ... + 469554.

Almost surely, 21141334832 is an apocalyptic number.

1141334832 is a gapful number since it is divisible by the number (12) 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 1141334832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610718336).

1141334832 is an abundant number, since it is smaller than the sum of its proper divisors (2080101840).

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

1141334832 is a wasteful number, since it uses less digits than its factorization.

1141334832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3340 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1141334832 is about 33783.6474052166. The cubic root of 1141334832 is about 1045.0514941468.

The spelling of 1141334832 in words is "one billion, one hundred forty-one million, three hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 887 1774 2437 2661 3548 4874 5322 7096 7311 9748 9757 10644 14192 14622 19496 19514 21288 26807 29244 29271 38992 39028 42576 53614 58488 58542 78056 80421 107228 116976 117084 156112 160842 214456 234168 321684 428912 468336 643368 1286736 2161619 4323238 6484857 8646476 12969714 17292952 23777809 25939428 34585904 47555618 51878856 71333427 95111236 103757712 142666854 190222472 285333708 380444944 570667416 1141334832