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114400260640 = 255715001629
BaseRepresentation
bin110101010001011001…
…0010111001000100000
3101221021202021101012101
41222202302113020200
53333242431320030
6124315454340144
711156642112451
oct1524262271040
9357252241171
10114400260640
1144575a68056
121a2084ba654
13aa32021723
145773769128
152e985837ca
hex1aa2c97220

114400260640 has 24 divisors (see below), whose sum is σ = 270270616140. Its totient is φ = 45760104192.

The previous prime is 114400260629. The next prime is 114400260641. The reversal of 114400260640 is 46062004411.

It can be written as a sum of positive squares in 2 ways, for example, as 113711932944 + 688327696 = 337212^2 + 26236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114400260599 and 114400260608.

It is not an unprimeable number, because it can be changed into a prime (114400260641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357500655 + ... + 357500974.

Almost surely, 2114400260640 is an apocalyptic number.

114400260640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114400260640 is an abundant number, since it is smaller than the sum of its proper divisors (155870355500).

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

114400260640 is an equidigital number, since it uses as much as digits as its factorization.

114400260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715001644 (or 715001636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 114400260640 in words is "one hundred fourteen billion, four hundred million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 715001629 1430003258 2860006516 3575008145 5720013032 7150016290 11440026064 14300032580 22880052128 28600065160 57200130320 114400260640