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115114424000 = 265322763389
BaseRepresentation
bin110101100110101011…
…0101011011011000000
3102000010112002122011012
41223031112223123000
53341223243032000
6124514405340052
711213433313412
oct1531526533300
9360115078135
10115114424000
1144902100604
121a387707628
13ab16c7c6b4
14580054c9b2
152edb102735
hex1acd5ab6c0

115114424000 has 112 divisors (see below), whose sum is σ = 286341251040. Its totient is φ = 45842201600.

The previous prime is 115114423999. The next prime is 115114424063. The reversal of 115114424000 is 424411511.

It is a super-2 number, since 2×1151144240002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784306 + ... + 1847694.

Almost surely, 2115114424000 is an apocalyptic number.

115114424000 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 115114424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143170625520).

115114424000 is an abundant number, since it is smaller than the sum of its proper divisors (171226827040).

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

115114424000 is an equidigital number, since it uses as much as digits as its factorization.

115114424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63643 (or 63623 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 115114424000 its reverse (424411511), we get a palindrome (115538835511).

The spelling of 115114424000 in words is "one hundred fifteen billion, one hundred fourteen million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 227 250 320 400 454 500 800 908 1000 1135 1600 1816 2000 2270 3632 4000 4540 5675 7264 8000 9080 11350 14528 18160 22700 28375 36320 45400 56750 63389 72640 90800 113500 126778 181600 227000 253556 316945 363200 454000 507112 633890 908000 1014224 1267780 1584725 1816000 2028448 2535560 3169450 4056896 5071120 6338900 7923625 10142240 12677800 14389303 15847250 20284480 25355600 28778606 31694500 50711200 57557212 63389000 71946515 101422400 115114424 126778000 143893030 230228848 253556000 287786060 359732575 460457696 507112000 575572120 719465150 920915392 1151144240 1438930300 1798662875 2302288480 2877860600 3597325750 4604576960 5755721200 7194651500 11511442400 14389303000 23022884800 28778606000 57557212000 115114424000