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114823607080 = 23572137575953
BaseRepresentation
bin110101011110000000…
…1010011001100101000
3101222101020212121100011
41222330001103030220
53340124320411310
6124425500221304
711203302361600
oct1527401231450
9358336777304
10114823607080
1144772a29546
121a30623a834
13aa9b948690
1457b3a89c00
152ec080978a
hex1abc053328

114823607080 has 192 divisors, whose sum is σ = 324133140240. Its totient is φ = 36285677568.

The previous prime is 114823607077. The next prime is 114823607081. The reversal of 114823607080 is 80706328411.

It can be written as a sum of positive squares in 8 ways, for example, as 6056886276 + 108766720804 = 77826^2 + 329798^2 .

It is a super-2 number, since 2×1148236070802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (114823607081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19285384 + ... + 19291336.

Almost surely, 2114823607080 is an apocalyptic number.

114823607080 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 114823607080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162066570120).

114823607080 is an abundant number, since it is smaller than the sum of its proper divisors (209309533160).

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

114823607080 is a wasteful number, since it uses less digits than its factorization.

114823607080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 114823607080 in words is "one hundred fourteen billion, eight hundred twenty-three million, six hundred seven thousand, eighty".