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114698239488 = 293571761127
BaseRepresentation
bin110101011010010001…
…1000011111000000000
3101222001111222021100000
41222310203003320000
53334400222130423
6124405221200000
711200220643450
oct1526443037000
9358044867300
10114698239488
1144709190a68
121a290260000
13aa7b992581
1457a1173d60
152eb47e3843
hex1ab48c3e00

114698239488 has 960 divisors, whose sum is σ = 425540763648. Its totient is φ = 30098718720.

The previous prime is 114698239421. The next prime is 114698239489. The reversal of 114698239488 is 884932896411.

114698239488 is a `hidden beast` number, since 1 + 1 + 46 + 9 + 82 + 39 + 488 = 666.

It is a super-5 number, since 5×1146982394885 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114698239489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 903135681 + ... + 903135807.

Almost surely, 2114698239488 is an apocalyptic number.

114698239488 is a gapful number since it is divisible by the number (18) 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 114698239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212770381824).

114698239488 is an abundant number, since it is smaller than the sum of its proper divisors (310842524160).

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

114698239488 is an equidigital number, since it uses as much as digits as its factorization.

114698239488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 114698239488 in words is "one hundred fourteen billion, six hundred ninety-eight million, two hundred thirty-nine thousand, four hundred eighty-eight".