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1131131440 = 245372631453
BaseRepresentation
bin100001101101011…
…1011001000110000
32220211102102122001
41003122323020300
54304032201230
6304124023344
740013313205
oct10332731060
92824372561
101131131440
1153054887a
12276991b54
1315046095a
14aa323cac
15694850ca
hex436bb230

1131131440 has 80 divisors (see below), whose sum is σ = 2713094208. Its totient is φ = 438248448.

The previous prime is 1131131437. The next prime is 1131131483. The reversal of 1131131440 is 441311311.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777754 + ... + 779206.

Almost surely, 21131131440 is an apocalyptic number.

1131131440 is a gapful number since it is divisible by the number (10) 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 1131131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356547104).

1131131440 is an abundant number, since it is smaller than the sum of its proper divisors (1581962768).

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

1131131440 is a wasteful number, since it uses less digits than its factorization.

1131131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1131131440 is about 33632.2975724229. The cubic root of 1131131440 is about 1041.9279572651.

Adding to 1131131440 its reverse (441311311), we get a palindrome (1572442751).

The spelling of 1131131440 in words is "one billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 263 296 370 526 592 740 1052 1315 1453 1480 2104 2630 2906 2960 4208 5260 5812 7265 9731 10520 11624 14530 19462 21040 23248 29060 38924 48655 53761 58120 77848 97310 107522 116240 155696 194620 215044 268805 382139 389240 430088 537610 764278 778480 860176 1075220 1528556 1910695 2150440 3057112 3821390 4300880 6114224 7642780 14139143 15285560 28278286 30571120 56556572 70695715 113113144 141391430 226226288 282782860 565565720 1131131440