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138843042 = 231323193401
BaseRepresentation
bin10000100011010…
…01001110100010
3100200020221211220
420101221032202
5241020434132
621435515510
73304101132
oct1021511642
9320227756
10138843042
1171411918
123a5b8b96
13229c3860
1414622ac2
15c2c8a2c
hex84693a2

138843042 has 64 divisors (see below), whose sum is σ = 314447616. Its totient is φ = 40550400.

The previous prime is 138843041. The next prime is 138843043. The reversal of 138843042 is 240348831.

It is an interprime number because it is at equal distance from previous prime (138843041) and next prime (138843043).

It is a junction number, because it is equal to n+sod(n) for n = 138842994 and 138843012.

It is not an unprimeable number, because it can be changed into a prime (138843041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346042 + ... + 346442.

It is an arithmetic number, because the mean of its divisors is an integer number (4913244).

Almost surely, 2138843042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138843042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157223808).

138843042 is an abundant number, since it is smaller than the sum of its proper divisors (175604574).

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

138843042 is a wasteful number, since it uses less digits than its factorization.

138843042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 138843042 is about 11783.1677404678. The cubic root of 138843042 is about 517.8150952772.

The spelling of 138843042 in words is "one hundred thirty-eight million, eight hundred forty-three thousand, forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 193 299 386 401 579 598 802 897 1158 1203 1794 2406 2509 4439 5018 5213 7527 8878 9223 10426 13317 15054 15639 18446 26634 27669 31278 55338 57707 77393 115414 119899 154786 173121 232179 239798 346242 359697 464358 719394 1006109 1780039 2012218 3018327 3560078 5340117 6036654 10680234 23140507 46281014 69421521 138843042