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114612848280 = 233257247138241
BaseRepresentation
bin110101010111101110…
…1010100011010011000
3101221211120021221121200
41222233131110122120
53334211342121110
6124352531034200
711165133064500
oct1525735243230
9357746257550
10114612848280
1144674a68317
121a26773b960
13aa67095328
145793aa6a00
152eac0776c0
hex1aaf754698

114612848280 has 288 divisors, whose sum is σ = 442529231040. Its totient is φ = 25639649280.

The previous prime is 114612848261. The next prime is 114612848281. The reversal of 114612848280 is 82848216411.

114612848280 is a `hidden beast` number, since 1 + 1 + 4 + 612 + 8 + 4 + 8 + 28 + 0 = 666.

It is a super-2 number, since 2×1146128482802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114612848281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 759960 + ... + 898200.

It is an arithmetic number, because the mean of its divisors is an integer number (1536559830).

Almost surely, 2114612848280 is an apocalyptic number.

114612848280 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 114612848280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221264615520).

114612848280 is an abundant number, since it is smaller than the sum of its proper divisors (327916382760).

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

114612848280 is a wasteful number, since it uses less digits than its factorization.

114612848280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138319 (or 138305 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 114612848280 in words is "one hundred fourteen billion, six hundred twelve million, eight hundred forty-eight thousand, two hundred eighty".