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114041330 = 25136173197
BaseRepresentation
bin1101100110000…
…10000111110010
321221120220021222
412303002013302
5213143310310
615152145042
72553223004
oct663020762
9257526258
10114041330
1159411a37
1232238182
131a81b9a0
1411208374
15a02a055
hex6cc21f2

114041330 has 64 divisors (see below), whose sum is σ = 228922848. Its totient is φ = 40642560.

The previous prime is 114041297. The next prime is 114041341. The reversal of 114041330 is 33140411.

It can be written as a sum of positive squares in 16 ways, for example, as 3644281 + 110397049 = 1909^2 + 10507^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114041299 and 114041308.

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, 578792 + ... + 578988.

Almost surely, 2114041330 is an apocalyptic number.

114041330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114041330 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

114041330 is a wasteful number, since it uses less digits than its factorization.

114041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 114041330 is about 10679.0135312209. The cubic root of 114041330 is about 484.9393483513.

Adding to 114041330 its reverse (33140411), we get a palindrome (147181741).

The spelling of 114041330 in words is "one hundred fourteen million, forty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 61 65 73 122 130 146 197 305 365 394 610 730 793 949 985 1586 1898 1970 2561 3965 4453 4745 5122 7930 8906 9490 12017 12805 14381 22265 24034 25610 28762 44530 57889 60085 71905 115778 120170 143810 156221 186953 289445 312442 373906 578890 781105 877241 934765 1562210 1754482 1869530 4386205 8772410 11404133 22808266 57020665 114041330