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114232420240 = 2456553217901
BaseRepresentation
bin110101001100011001…
…0000110011110010000
3101220212001110012110021
41222120302012132100
53332421444421430
6124251101113224
711152533360031
oct1523062063620
9356761405407
10114232420240
114449a250084
121a180258814
13aa06317393
145759358a88
152e8897d07a
hex1a98c86790

114232420240 has 40 divisors (see below), whose sum is σ = 265632125688. Its totient is φ = 45685785600.

The previous prime is 114232420223. The next prime is 114232420297. The reversal of 114232420240 is 42024232411.

It can be written as a sum of positive squares in 4 ways, for example, as 1002862224 + 113229558016 = 31668^2 + 336496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415290 + ... + 633190.

Almost surely, 2114232420240 is an apocalyptic number.

114232420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114232420240 is an abundant number, since it is smaller than the sum of its proper divisors (151399705448).

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

114232420240 is a wasteful number, since it uses less digits than its factorization.

114232420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224467 (or 224461 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 114232420240 its reverse (42024232411), we get a palindrome (156256652651).

The spelling of 114232420240 in words is "one hundred fourteen billion, two hundred thirty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6553 13106 26212 32765 52424 65530 104848 131060 217901 262120 435802 524240 871604 1089505 1743208 2179010 3486416 4358020 8716040 17432080 1427905253 2855810506 5711621012 7139526265 11423242024 14279052530 22846484048 28558105060 57116210120 114232420240