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138344283 = 327111711743
BaseRepresentation
bin10000011111011…
…11011101011011
3100122022121200100
420033233131123
5240404004113
621421110443
73266623050
oct1017573533
9318277610
10138344283
1171101120
123a3b8423
132287a82c
1414533027
15c22ad73
hex83ef75b

138344283 has 48 divisors (see below), whose sum is σ = 263817216. Its totient is φ = 67633920.

The previous prime is 138344251. The next prime is 138344293. The reversal of 138344283 is 382443831.

It is a happy number.

138344283 is a `hidden beast` number, since 1 + 38 + 344 + 283 = 666.

It is not a de Polignac number, because 138344283 - 25 = 138344251 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138344233) 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, 5910 + ... + 17652.

It is an arithmetic number, because the mean of its divisors is an integer number (5496192).

Almost surely, 2138344283 is an apocalyptic number.

138344283 is a deficient number, since it is larger than the sum of its proper divisors (125472933).

138344283 is a wasteful number, since it uses less digits than its factorization.

138344283 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784 (or 11781 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 138344283 is about 11761.9846539604. The cubic root of 138344283 is about 517.1943108172.

The spelling of 138344283 in words is "one hundred thirty-eight million, three hundred forty-four thousand, two hundred eighty-three".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11743 11781 35229 82201 105687 129173 199631 246603 387519 598893 739809 904211 1162557 1397417 1796679 2195941 2712633 4192251 6587823 8137899 12576753 15371587 19763469 46114761 138344283