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114045106720 = 255712781917
BaseRepresentation
bin110101000110110011…
…1100011101000100000
3101220100222222200121111
41222031213203220200
53332031021403340
6124220330233104
711145100261336
oct1521547435040
9356328880544
10114045106720
1144403542716
121a129585794
13a9a658268c
14573c519b56
152e772ccaea
hex1a8d9e3a20

114045106720 has 24 divisors (see below), whose sum is σ = 269431565004. Its totient is φ = 45618042624.

The previous prime is 114045106709. The next prime is 114045106727. The reversal of 114045106720 is 27601540411.

It can be written as a sum of positive squares in 2 ways, for example, as 113652591376 + 392515344 = 337124^2 + 19812^2 .

It is not an unprimeable number, because it can be changed into a prime (114045106727) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 356390799 + ... + 356391118.

Almost surely, 2114045106720 is an apocalyptic number.

114045106720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114045106720 is an abundant number, since it is smaller than the sum of its proper divisors (155386458284).

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

114045106720 is an equidigital number, since it uses as much as digits as its factorization.

114045106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712781932 (or 712781924 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 114045106720 in words is "one hundred fourteen billion, forty-five million, one hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 712781917 1425563834 2851127668 3563909585 5702255336 7127819170 11404510672 14255638340 22809021344 28511276680 57022553360 114045106720