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14148154008 = 23357277857
BaseRepresentation
bin11010010110100101…
…11011001010011000
31100112000020200200000
431023102323022120
5212433411412013
610255524013000
71010414216262
oct151322731230
940460220600
1014148154008
11600029a56a
1228aa231160
131446212781
14983040b32
1557c14a973
hex34b4bb298

14148154008 has 48 divisors (see below), whose sum is σ = 39737104680. Its totient is φ = 4716050688.

The previous prime is 14148153979. The next prime is 14148154019. The reversal of 14148154008 is 80045184141.

14148154008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 3636985 + ... + 3640872.

Almost surely, 214148154008 is an apocalyptic number.

14148154008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14148154008 is an abundant number, since it is smaller than the sum of its proper divisors (25588950672).

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

14148154008 is an equidigital number, since it uses as much as digits as its factorization.

14148154008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277878 (or 7277862 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 14148154008 in words is "fourteen billion, one hundred forty-eight million, one hundred fifty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 7277857 14555714 21833571 29111428 43667142 58222856 65500713 87334284 131001426 174668568 196502139 262002852 393004278 524005704 589506417 786008556 1179012834 1572017112 1768519251 2358025668 3537038502 4716051336 7074077004 14148154008