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114561513 = 33112947283
BaseRepresentation
bin1101101010000…
…01000111101001
321222120022212000
412311001013221
5213311432023
615211241213
72560520403
oct665010751
9258508760
10114561513
1159737840
1232449209
131a9716a1
1411301b73
15a0ce243
hex6d411e9

114561513 has 64 divisors (see below), whose sum is σ = 196300800. Its totient is φ = 65378880.

The previous prime is 114561511. The next prime is 114561529. The reversal of 114561513 is 315165411.

114561513 is a `hidden beast` number, since 1 + 1 + 45 + 615 + 1 + 3 = 666.

It is not a de Polignac number, because 114561513 - 21 = 114561511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114561511) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 404670 + ... + 404952.

It is an arithmetic number, because the mean of its divisors is an integer number (3067200).

Almost surely, 2114561513 is an apocalyptic number.

It is an amenable number.

114561513 is a deficient number, since it is larger than the sum of its proper divisors (81739287).

114561513 is a wasteful number, since it uses less digits than its factorization.

114561513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 114561513 is about 10703.3412073053. The cubic root of 114561513 is about 485.6755569672.

The spelling of 114561513 in words is "one hundred fourteen million, five hundred sixty-one thousand, five hundred thirteen".

Divisors: 1 3 9 11 27 29 33 47 87 99 141 261 283 297 319 423 517 783 849 957 1269 1363 1551 2547 2871 3113 4089 4653 7641 8207 8613 9339 12267 13301 13959 14993 24621 28017 36801 39903 44979 73863 84051 90277 119709 134937 146311 221589 270831 359127 385729 404811 438933 812493 1157187 1316799 2437479 3471561 3950397 4243019 10414683 12729057 38187171 114561513