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1131442144 = 25724397173
BaseRepresentation
bin100001101110000…
…0110111111100000
32220212000012211121
41003130012333200
54304122122034
6304134422024
740016046100
oct10334067740
92825005747
101131442144
11530740258
12276b01914
1315053c1c1
14aa3a5200
15694e71b4
hex43706fe0

1131442144 has 144 divisors (see below), whose sum is σ = 2694284208. Its totient is φ = 466034688.

The previous prime is 1131442141. The next prime is 1131442177. The reversal of 1131442144 is 4412441311.

It is a super-2 number, since 2×11314421442 = 2560322650438633472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131442141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6540042 + ... + 6540214.

It is an arithmetic number, because the mean of its divisors is an integer number (18710307).

Almost surely, 21131442144 is an apocalyptic number.

1131442144 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 1131442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347142104).

1131442144 is an abundant number, since it is smaller than the sum of its proper divisors (1562842064).

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

1131442144 is a wasteful number, since it uses less digits than its factorization.

1131442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 1131442144 is about 33636.9163866131. The cubic root of 1131442144 is about 1042.0233489340.

Adding to 1131442144 its reverse (4412441311), we get a palindrome (5543883455).

The spelling of 1131442144 in words is "one billion, one hundred thirty-one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 97 98 112 172 173 194 196 224 301 344 346 388 392 602 679 688 692 776 784 1204 1211 1358 1376 1384 1552 1568 2107 2408 2422 2716 2768 3104 4171 4214 4753 4816 4844 5432 5536 7439 8342 8428 8477 9506 9632 9688 10864 14878 16684 16781 16856 16954 19012 19376 21728 29197 29756 33368 33562 33712 33908 38024 38752 52073 58394 59512 66736 67124 67424 67816 76048 104146 116788 117467 119024 133472 134248 135632 152096 204379 208292 233576 234934 238048 268496 271264 364511 408758 416584 467152 469868 536992 721583 729022 817516 822269 833168 934304 939736 1443166 1458044 1635032 1644538 1666336 1879472 2886332 2916088 3270064 3289076 3758944 5051081 5772664 5832176 6540128 6578152 10102162 11545328 11664352 13156304 20204324 23090656 26312608 35357567 40408648 70715134 80817296 141430268 161634592 282860536 565721072 1131442144