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138904838493141 = 37214920297312451
BaseRepresentation
bin11111100101010101001101…
…100011100101001111010101
3200012211011200000122200200010
4133211111031203211033111
5121201304102123240031
61211232000223110433
741154354250052400
oct3745251543451725
9605734600580603
10138904838493141
11402942360a6816
12136b4831442419
135c67893196726
14264305c682d37
15110d3786dd246
hex7e554d8e53d5

138904838493141 has 48 divisors (see below), whose sum is σ = 216901553803200. Its totient is φ = 78837344006400.

The previous prime is 138904838493133. The next prime is 138904838493199. The reversal of 138904838493141 is 141394838409831.

It is not a de Polignac number, because 138904838493141 - 23 = 138904838493133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138904838493121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444408966 + ... + 444721416.

It is an arithmetic number, because the mean of its divisors is an integer number (4518782370900).

Almost surely, 2138904838493141 is an apocalyptic number.

It is an amenable number.

138904838493141 is a deficient number, since it is larger than the sum of its proper divisors (77996715310059).

138904838493141 is a wasteful number, since it uses less digits than its factorization.

138904838493141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332914 (or 332907 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 138904838493141 in words is "one hundred thirty-eight trillion, nine hundred four billion, eight hundred thirty-eight million, four hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 149 447 1043 3129 7301 20297 21903 60891 142079 312451 426237 937353 994553 2187157 2983659 3024253 6561471 9072759 15310099 21169771 45930297 46555199 63509313 139665597 148188397 325886393 444565191 977659179 2281204751 6341817947 6843614253 19025453841 44392725629 133178176887 310749079403 932247238209 944930874103 2834792622309 6614516118721 19843548356163 46301612831047 138904838493141