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114443120232 = 233271186319141
BaseRepresentation
bin110101010010101010…
…1110110111001101000
3101221101201220212111200
41222211111312321220
53333334414321412
6124324025124200
711161002320520
oct1524525667150
9357351825450
10114443120232
1144598181101
121a21a929660
13aa3ab79a2c
145779324680
152e9c1ec9dc
hex1aa5576e68

114443120232 has 96 divisors (see below), whose sum is σ = 354277073280. Its totient is φ = 32693569920.

The previous prime is 114443120221. The next prime is 114443120249. The reversal of 114443120232 is 232021344411.

114443120232 is a `hidden beast` number, since 1 + 14 + 443 + 1 + 202 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114443120196 and 114443120205.

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, 5969382 + ... + 5988522.

It is an arithmetic number, because the mean of its divisors is an integer number (3690386180).

Almost surely, 2114443120232 is an apocalyptic number.

114443120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114443120232 is an abundant number, since it is smaller than the sum of its proper divisors (239833953048).

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

114443120232 is a wasteful number, since it uses less digits than its factorization.

114443120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31023 (or 31016 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114443120232 its reverse (232021344411), we get a palindrome (346464464643).

The spelling of 114443120232 in words is "one hundred fourteen billion, four hundred forty-three million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 11863 19141 23726 35589 38282 47452 57423 71178 76564 83041 94904 106767 114846 133987 142356 153128 166082 172269 213534 229692 249123 267974 284712 332164 344538 401961 427068 459384 498246 535948 664328 689076 747369 803922 854136 996492 1071896 1205883 1378152 1494738 1607844 1992984 2411766 2989476 3215688 4823532 5978952 9647064 227069683 454139366 681209049 908278732 1362418098 1589487781 1816557464 2043627147 2724836196 3178975562 4087254294 4768463343 5449672392 6357951124 8174508588 9536926686 12715902248 14305390029 16349017176 19073853372 28610780058 38147706744 57221560116 114443120232