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114440000 = 26542861
BaseRepresentation
bin1101101001000…
…11011101000000
321222100011011112
412310203131000
5213244040000
615204502452
72556503213
oct664433500
9258304145
10114440000
1159664514
12323aaa28
131a92b29c
14112ad77a
15a0a8235
hex6d23740

114440000 has 70 divisors (see below), whose sum is σ = 283873194. Its totient is φ = 45760000.

The previous prime is 114439993. The next prime is 114440033. The reversal of 114440000 is 44411.

It can be written as a sum of positive squares in 5 ways, for example, as 41576704 + 72863296 = 6448^2 + 8536^2 .

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38570 + ... + 41430.

Almost surely, 2114440000 is an apocalyptic number.

114440000 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 114440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141936597).

114440000 is an abundant number, since it is smaller than the sum of its proper divisors (169433194).

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

114440000 is an frugal number, since it uses more digits than its factorization.

114440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114440000 is about 10697.6632962531. The cubic root of 114440000 is about 485.5037809191.

Adding to 114440000 its reverse (44411), we get a palindrome (114484411).

The spelling of 114440000 in words is "one hundred fourteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2861 4000 5000 5722 8000 10000 11444 14305 20000 22888 28610 40000 45776 57220 71525 91552 114440 143050 183104 228880 286100 357625 457760 572200 715250 915520 1144400 1430500 1788125 2288800 2861000 3576250 4577600 5722000 7152500 11444000 14305000 22888000 28610000 57220000 114440000