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114997924944 = 243277983127137
BaseRepresentation
bin110101100011001101…
…0010001010001010000
3101222211101212212111100
41223012122101101100
53341003432044234
6124455044344400
711210520143130
oct1530632212120
9358741785440
10114997924944
11448523700a1
121a3546a5100
13aac8ab0146
1457ccca4ac0
152ed0c8e399
hex1ac6691450

114997924944 has 480 divisors, whose sum is σ = 382695505920. Its totient is φ = 31565334528.

The previous prime is 114997924927. The next prime is 114997924961. The reversal of 114997924944 is 449429799411.

114997924944 is a `hidden beast` number, since 11 + 49 + 9 + 7 + 92 + 494 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114997924927) and next prime (114997924961).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839400844 + ... + 839400980.

It is an arithmetic number, because the mean of its divisors is an integer number (797282304).

Almost surely, 2114997924944 is an apocalyptic number.

114997924944 is a gapful number since it is divisible by the number (14) 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 114997924944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191347752960).

114997924944 is an abundant number, since it is smaller than the sum of its proper divisors (267697580976).

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

114997924944 is a wasteful number, since it uses less digits than its factorization.

114997924944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 114997924944 in words is "one hundred fourteen billion, nine hundred ninety-seven million, nine hundred twenty-four thousand, nine hundred forty-four".