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114242727480 = 233571753271557
BaseRepresentation
bin110101001100101100…
…1011010111000111000
3101220212202211212022220
41222121121122320320
53332432114234410
6124252110044040
711153020106220
oct1523131327070
9356782755286
10114242727480
11444a5050062
121a1837a9620
13aa084b5a3b
14575a87d080
152e89817070
hex1a9965ae38

114242727480 has 512 divisors, whose sum is σ = 424875663360. Its totient is φ = 23980769280.

The previous prime is 114242727421. The next prime is 114242727491. The reversal of 114242727480 is 84727242411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205103362 + ... + 205103918.

It is an arithmetic number, because the mean of its divisors is an integer number (829835280).

Almost surely, 2114242727480 is an apocalyptic number.

114242727480 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 114242727480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212437831680).

114242727480 is an abundant number, since it is smaller than the sum of its proper divisors (310632935880).

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

114242727480 is a wasteful number, since it uses less digits than its factorization.

114242727480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

Adding to 114242727480 its reverse (84727242411), we get a palindrome (198969969891).

The spelling of 114242727480 in words is "one hundred fourteen billion, two hundred forty-two million, seven hundred twenty-seven thousand, four hundred eighty".