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138221101449 = 32108714128703
BaseRepresentation
bin1000000010111010011…
…1101010000110001001
3111012202212101110200200
42000232213222012021
54231034100221244
6143255313522413
712662150656104
oct2005647520611
9435685343620
10138221101449
115368a232352
1222955b73409
131005a17c7c2
14699328973b
1538de985669
hex202e9ea189

138221101449 has 12 divisors (see below), whose sum is σ = 199836389376. Its totient is φ = 92062622232.

The previous prime is 138221101373. The next prime is 138221101481. The reversal of 138221101449 is 944101122831.

138221101449 is a `hidden beast` number, since 13 + 82 + 21 + 101 + 449 = 666.

It is not a de Polignac number, because 138221101449 - 27 = 138221101321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138221101489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7054569 + ... + 7074134.

It is an arithmetic number, because the mean of its divisors is an integer number (16653032448).

Almost surely, 2138221101449 is an apocalyptic number.

It is an amenable number.

138221101449 is a deficient number, since it is larger than the sum of its proper divisors (61615287927).

138221101449 is a wasteful number, since it uses less digits than its factorization.

138221101449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14129796 (or 14129793 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

It can be divided in two parts, 13822 and 1101449, that added together give a triangular number (1115271 = T1493).

The spelling of 138221101449 in words is "one hundred thirty-eight billion, two hundred twenty-one million, one hundred one thousand, four hundred forty-nine".

Divisors: 1 3 9 1087 3261 9783 14128703 42386109 127158327 15357900161 46073700483 138221101449