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114423266232 = 233211521277301
BaseRepresentation
bin110101010010000101…
…0000111101110111000
3101221100100120011221100
41222210022013232320
53333314324004412
6124322035411400
711160341500242
oct1524412075670
9357310504840
10114423266232
1144587a50540
121a214153b60
13aa36a17bc2
145776837092
152e9a5c9edc
hex1aa4287bb8

114423266232 has 96 divisors (see below), whose sum is σ = 338718846960. Its totient is φ = 34607040000.

The previous prime is 114423266179. The next prime is 114423266261. The reversal of 114423266232 is 232662324411.

114423266232 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 3 + 26 + 623 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273982 + ... + 551282.

Almost surely, 2114423266232 is an apocalyptic number.

114423266232 is a gapful number since it is divisible by the number (12) 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 114423266232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169359423480).

114423266232 is an abundant number, since it is smaller than the sum of its proper divisors (224295580728).

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

114423266232 is a wasteful number, since it uses less digits than its factorization.

114423266232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277845 (or 277838 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 114423266232 in words is "one hundred fourteen billion, four hundred twenty-three million, two hundred sixty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 521 792 1042 1563 2084 3126 4168 4689 5731 6252 9378 11462 12504 17193 18756 22924 34386 37512 45848 51579 68772 103158 137544 206316 277301 412632 554602 831903 1109204 1663806 2218408 2495709 3050311 3327612 4991418 6100622 6655224 9150933 9982836 12201244 18301866 19965672 24402488 27452799 36603732 54905598 73207464 109811196 144473821 219622392 288947642 433421463 577895284 866842926 1155790568 1300264389 1589212031 1733685852 2600528778 3178424062 3467371704 4767636093 5201057556 6356848124 9535272186 10402115112 12713696248 14302908279 19070544372 28605816558 38141088744 57211633116 114423266232