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9144006427 = 174160721613
BaseRepresentation
bin10001000010000011…
…00111011100011011
3212121021001122200201
420201001213130123
5122211331201202
64111203443031
7442411525603
oct104101473433
925537048621
109144006427
11397260a406
121932386477
13b295610ba
1462a5bdc03
15387b75387
hex22106771b

9144006427 has 16 divisors (see below), whose sum is σ = 9934831872. Its totient is φ = 8381998080.

The previous prime is 9144006413. The next prime is 9144006451. The reversal of 9144006427 is 7246004419.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9144006427 - 215 = 9143973659 is a prime.

It is a super-2 number, since 2×91440064272 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9144006467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412273 + ... + 433885.

It is an arithmetic number, because the mean of its divisors is an integer number (620926992).

Almost surely, 29144006427 is an apocalyptic number.

9144006427 is a deficient number, since it is larger than the sum of its proper divisors (790825445).

9144006427 is a wasteful number, since it uses less digits than its factorization.

9144006427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22278.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 9144006427 is about 95624.2983085366. The cubic root of 9144006427 is about 2091.1194469201.

The spelling of 9144006427 in words is "nine billion, one hundred forty-four million, six thousand, four hundred twenty-seven".

Divisors: 1 17 41 607 697 10319 21613 24887 367421 423079 886133 13119091 15064261 223024547 537882731 9144006427