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114241712 = 24134353241
BaseRepresentation
bin1101100111100…
…11000010110000
321221222002011112
412303303002300
5213221213322
615200332452
72555016134
oct663630260
9257862145
10114241712
1159539542
1232314128
131a88bc60
141125b3c4
15a0695e2
hex6cf30b0

114241712 has 80 divisors (see below), whose sum is σ = 249546528. Its totient is φ = 50319360.

The previous prime is 114241711. The next prime is 114241739. The reversal of 114241712 is 217142411.

It is a super-4 number, since 4×1142417124 (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (114241711) 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 15 ways as a sum of consecutive naturals, for example, 473912 + ... + 474152.

Almost surely, 2114241712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114241712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124773264).

114241712 is an abundant number, since it is smaller than the sum of its proper divisors (135304816).

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

114241712 is a wasteful number, since it uses less digits than its factorization.

114241712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 114241712 is about 10688.3914598970. The cubic root of 114241712 is about 485.2232111044.

The spelling of 114241712 in words is "one hundred fourteen million, two hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 43 52 53 86 104 106 172 208 212 241 344 424 482 559 688 689 848 964 1118 1378 1928 2236 2279 2756 3133 3856 4472 4558 5512 6266 8944 9116 10363 11024 12532 12773 18232 20726 25064 25546 29627 36464 41452 50128 51092 59254 82904 102184 118508 134719 165808 166049 204368 237016 269438 332098 474032 538876 549239 664196 1077752 1098478 1328392 2155504 2196956 2656784 4393912 7140107 8787824 14280214 28560428 57120856 114241712