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11442334032 = 2432233539787
BaseRepresentation
bin10101010100000010…
…00010100101010000
31002112102202210110100
422222001002211100
5141413214142112
65131224532400
7553360143303
oct125201024520
932472683410
1011442334032
114941998a08
122274021100
13110476bc6c
147a7934b3a
1546e8162dc
hex2aa042950

11442334032 has 120 divisors (see below), whose sum is σ = 33513015744. Its totient is φ = 3637573632.

The previous prime is 11442334021. The next prime is 11442334049. The reversal of 11442334032 is 23043324411.

It is a junction number, because it is equal to n+sod(n) for n = 11442333987 and 11442334005.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1164243 + ... + 1174029.

Almost surely, 211442334032 is an apocalyptic number.

11442334032 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 11442334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756507872).

11442334032 is an abundant number, since it is smaller than the sum of its proper divisors (22070681712).

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

11442334032 is a wasteful number, since it uses less digits than its factorization.

11442334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11442334032 its reverse (23043324411), we get a palindrome (34485658443).

The spelling of 11442334032 in words is "eleven billion, four hundred forty-two million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 353 368 414 552 706 828 1059 1104 1412 1656 2118 2824 3177 3312 4236 5648 6354 8119 8472 9787 12708 16238 16944 19574 24357 25416 29361 32476 39148 48714 50832 58722 64952 73071 78296 88083 97428 117444 129904 146142 156592 176166 194856 225101 234888 292284 352332 389712 450202 469776 584568 675303 704664 900404 1169136 1350606 1409328 1800808 2025909 2701212 3454811 3601616 4051818 5402424 6909622 8103636 10364433 10804848 13819244 16207272 20728866 27638488 31093299 32414544 41457732 55276976 62186598 79460653 82915464 124373196 158921306 165830928 238381959 248746392 317842612 476763918 497492784 635685224 715145877 953527836 1271370448 1430291754 1907055672 2860583508 3814111344 5721167016 11442334032