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11422434000 = 243534344273
BaseRepresentation
bin10101010001101010…
…01000001011010000
31002111001022202202010
422220311020023100
5141343120342000
65125234222520
7553026041565
oct125065101320
932431282663
1011422434000
1149317367aa
122269424a40
1311005c21b3
147a503486c
1546cbd4d50
hex2a8d482d0

11422434000 has 160 divisors (see below), whose sum is σ = 37683195264. Its totient is φ = 2975078400.

The previous prime is 11422433999. The next prime is 11422434077. The reversal of 11422434000 is 43422411.

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, 235864 + ... + 280136.

Almost surely, 211422434000 is an apocalyptic number.

11422434000 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 11422434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841597632).

11422434000 is an abundant number, since it is smaller than the sum of its proper divisors (26260761264).

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

11422434000 is a wasteful number, since it uses less digits than its factorization.

11422434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44342 (or 44326 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11422434000 its reverse (43422411), we get a palindrome (11465856411).

The spelling of 11422434000 in words is "eleven billion, four hundred twenty-two million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 44273 51600 64500 86000 88546 129000 132819 177092 221365 258000 265638 354184 442730 531276 664095 708368 885460 1062552 1106825 1328190 1770920 1903739 2125104 2213650 2656380 3320475 3541840 3807478 4427300 5312760 5534125 5711217 6640950 7614956 8854600 9518695 10625520 11068250 11422434 13281900 15229912 16602375 17709200 19037390 22136500 22844868 26563800 28556085 30459824 33204750 38074780 44273000 45689736 47593475 53127600 57112170 66409500 76149560 88546000 91379472 95186950 114224340 132819000 142780425 152299120 190373900 228448680 237967375 265638000 285560850 380747800 456897360 475934750 571121700 713902125 761495600 951869500 1142243400 1427804250 1903739000 2284486800 2855608500 3807478000 5711217000 11422434000