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10114424144 = 241157468319
BaseRepresentation
bin10010110101101110…
…11101110101010000
3222002220001222112122
421122313131311100
5131203243033034
64351351113412
7505434121016
oct113267356520
928086058478
1010114424144
114320368620
121b63372868
13c52611476
146bd42a8b6
153e2e6162e
hex25adddd50

10114424144 has 20 divisors (see below), whose sum is σ = 21378215040. Its totient is φ = 4597465440.

The previous prime is 10114424137. The next prime is 10114424197. The reversal of 10114424144 is 44142441101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28733984 + ... + 28734335.

It is an arithmetic number, because the mean of its divisors is an integer number (1068910752).

Almost surely, 210114424144 is an apocalyptic number.

It is an amenable number.

10114424144 is an abundant number, since it is smaller than the sum of its proper divisors (11263790896).

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

10114424144 is a wasteful number, since it uses less digits than its factorization.

10114424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57468338 (or 57468332 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 10114424144 its reverse (44142441101), we get a palindrome (54256865245).

The spelling of 10114424144 in words is "ten billion, one hundred fourteen million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 57468319 114936638 229873276 459746552 632151509 919493104 1264303018 2528606036 5057212072 10114424144