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1143314040 = 2335114391973
BaseRepresentation
bin100010000100101…
…1001011001111000
32221200100101000110
41010021121121320
54320142022130
6305241104320
740222003041
oct10411313170
92850311013
101143314040
11537409840
1227aa880a0
13152b37aab
14abbb58c8
156a58eab0
hex44259678

1143314040 has 128 divisors (see below), whose sum is σ = 3752179200. Its totient is φ = 276395520.

The previous prime is 1143314027. The next prime is 1143314119. The reversal of 1143314040 is 404133411.

It is a super-2 number, since 2×11433140402 = 2614333988122243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1143313998 and 1143314016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578494 + ... + 580466.

It is an arithmetic number, because the mean of its divisors is an integer number (29313900).

Almost surely, 21143314040 is an apocalyptic number.

1143314040 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 1143314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876089600).

1143314040 is an abundant number, since it is smaller than the sum of its proper divisors (2608865160).

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

1143314040 is a wasteful number, since it uses less digits than its factorization.

1143314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1143314040 is about 33812.9271137534. The cubic root of 1143314040 is about 1045.6552257802.

Adding to 1143314040 its reverse (404133411), we get a palindrome (1547447451).

The spelling of 1143314040 in words is "one billion, one hundred forty-three million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 439 440 660 878 1317 1320 1756 1973 2195 2634 3512 3946 4390 4829 5268 5919 6585 7892 8780 9658 9865 10536 11838 13170 14487 15784 17560 19316 19730 21703 23676 24145 26340 28974 29595 38632 39460 43406 47352 48290 52680 57948 59190 65109 72435 78920 86812 96580 108515 115896 118380 130218 144870 173624 193160 217030 236760 260436 289740 325545 434060 520872 579480 651090 866147 868120 1302180 1732294 2598441 2604360 3464588 4330735 5196882 6929176 8661470 9527617 10393764 12992205 17322940 19055234 20787528 25984410 28582851 34645880 38110468 47638085 51968820 57165702 76220936 95276170 103937640 114331404 142914255 190552340 228662808 285828510 381104680 571657020 1143314040