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114671370240 = 2143257171307
BaseRepresentation
bin110101011001011110…
…0100100000000000000
3101221222122102011122200
41222302330210000000
53334321332321430
6124402421233200
711166443364450
oct1526274440000
9357878364580
10114671370240
11446a4aa9779
121a283262800
13aa762455cb
14579b77bd60
152eb2287460
hex1ab2f24000

114671370240 has 720 divisors, whose sum is σ = 481394938752. Its totient is φ = 24649924608.

The previous prime is 114671370221. The next prime is 114671370259. The reversal of 114671370240 is 42073176411.

114671370240 is a `hidden beast` number, since 1 + 1 + 46 + 7 + 1 + 370 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (114671370221) and next prime (114671370259).

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114671370195 and 114671370204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87735667 + ... + 87736973.

Almost surely, 2114671370240 is an apocalyptic number.

114671370240 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 114671370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240697469376).

114671370240 is an abundant number, since it is smaller than the sum of its proper divisors (366723568512).

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

114671370240 is a wasteful number, since it uses less digits than its factorization.

114671370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 114671370240 in words is "one hundred fourteen billion, six hundred seventy-one million, three hundred seventy thousand, two hundred forty".