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115242442240 = 295115339043
BaseRepresentation
bin110101101010011111…
…1000001111000000000
3102000110102222122011111
41223110333001320000
53342004031122430
6124535221253104
711216546411422
oct1532477017000
9360412878144
10115242442240
1144968399602
121a402564194
13ab37653133
145813554812
152ee748dc2a
hex1ad4fc1e00

115242442240 has 80 divisors (see below), whose sum is σ = 276558491088. Its totient is φ = 46055817216.

The previous prime is 115242442199. The next prime is 115242442291. The reversal of 115242442240 is 42244242511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2932159 + ... + 2971201.

Almost surely, 2115242442240 is an apocalyptic number.

115242442240 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 115242442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138279245544).

115242442240 is an abundant number, since it is smaller than the sum of its proper divisors (161316048848).

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

115242442240 is an equidigital number, since it uses as much as digits as its factorization.

115242442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40219 (or 40203 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 115242442240 its reverse (42244242511), we get a palindrome (157486684751).

The spelling of 115242442240 in words is "one hundred fifteen billion, two hundred forty-two million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1153 1280 2306 2560 4612 5765 9224 11530 18448 23060 36896 39043 46120 73792 78086 92240 147584 156172 184480 195215 295168 312344 368960 390430 590336 624688 737920 780860 1249376 1475840 1561720 2498752 2951680 3123440 4997504 6246880 9995008 12493760 19990016 24987520 45016579 49975040 90033158 99950080 180066316 225082895 360132632 450165790 720265264 900331580 1440530528 1800663160 2881061056 3601326320 5762122112 7202652640 11524244224 14405305280 23048488448 28810610560 57621221120 115242442240