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1134401112 = 233413311433
BaseRepresentation
bin100001110011101…
…1001011001011000
32221001120112210000
41003213121121120
54310401313422
6304322053000
740053151605
oct10347313130
92831515700
101134401112
11532381389
12277aaa160
13151036c80
14aa9356ac
15698cdcac
hex439d9658

1134401112 has 160 divisors (see below), whose sum is σ = 3440717280. Its totient is φ = 347120640.

The previous prime is 1134401111. The next prime is 1134401119. The reversal of 1134401112 is 2111044311.

1134401112 is a `hidden beast` number, since 113 + 440 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134401111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2619648 + ... + 2620080.

It is an arithmetic number, because the mean of its divisors is an integer number (21504483).

Almost surely, 21134401112 is an apocalyptic number.

1134401112 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 1134401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720358640).

1134401112 is an abundant number, since it is smaller than the sum of its proper divisors (2306316168).

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

1134401112 is a wasteful number, since it uses less digits than its factorization.

1134401112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1134401112 is about 33680.8716039238. The cubic root of 1134401112 is about 1042.9309310003.

Adding to 1134401112 its reverse (2111044311), we get a palindrome (3245445423).

The spelling of 1134401112 in words is "one billion, one hundred thirty-four million, four hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 311 312 324 351 433 468 622 648 702 866 933 936 1053 1244 1299 1404 1732 1866 2106 2488 2598 2799 2808 3464 3732 3897 4043 4212 5196 5598 5629 7464 7794 8086 8397 8424 10392 11196 11258 11691 12129 15588 16172 16794 16887 22392 22516 23382 24258 25191 31176 32344 33588 33774 35073 36387 45032 46764 48516 50382 50661 67176 67548 70146 72774 93528 97032 100764 101322 109161 134663 135096 140292 145548 151983 201528 202644 218322 269326 280584 291096 303966 327483 403989 405288 436644 455949 538652 607932 654966 807978 873288 911898 1077304 1211967 1215864 1309932 1615956 1750619 1823796 2423934 2619864 3231912 3501238 3635901 3647592 4847868 5251857 7002476 7271802 9695736 10503714 10907703 14004952 14543604 15755571 21007428 21815406 29087208 31511142 42014856 43630812 47266713 63022284 87261624 94533426 126044568 141800139 189066852 283600278 378133704 567200556 1134401112