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114525140240 = 245721910914107
BaseRepresentation
bin110101010101000111…
…0101111010100010000
3101221121110020220210202
41222222032233110100
53334021413441430
6124340115114332
711163016426100
oct1525216572420
9357543226722
10114525140240
114462a501a35
121a2422a29a8
13aa51b66694
145786195200
152ea44eed45
hex1aaa3af510

114525140240 has 240 divisors, whose sum is σ = 329060635200. Its totient is φ = 36855254016.

The previous prime is 114525140227. The next prime is 114525140263. The reversal of 114525140240 is 42041525411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8111267 + ... + 8125373.

It is an arithmetic number, because the mean of its divisors is an integer number (1371085980).

Almost surely, 2114525140240 is an apocalyptic number.

114525140240 is a gapful number since it is divisible by the number (10) 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 114525140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164530317600).

114525140240 is an abundant number, since it is smaller than the sum of its proper divisors (214535494960).

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

114525140240 is a wasteful number, since it uses less digits than its factorization.

114525140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14262 (or 14249 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 114525140240 its reverse (42041525411), we get a palindrome (156566665651).

The spelling of 114525140240 in words is "one hundred fourteen billion, five hundred twenty-five million, one hundred forty thousand, two hundred forty".