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138134138340 = 223511474453067
BaseRepresentation
bin1000000010100101101…
…1111010110111100100
3111012112210202021201210
42000221123322313210
54230344314411330
6143242525551420
712660043542252
oct2005133726744
9435483667653
10138134138340
1153645135710
1222930a15570
1310045151c43
1469858cd5d2
1538d70088b0
hex20296fade4

138134138340 has 96 divisors (see below), whose sum is σ = 430914484224. Its totient is φ = 32774565760.

The previous prime is 138134138297. The next prime is 138134138353. The reversal of 138134138340 is 43831431831.

138134138340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195514 + ... + 2257553.

It is an arithmetic number, because the mean of its divisors is an integer number (4488692544).

Almost surely, 2138134138340 is an apocalyptic number.

138134138340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138134138340 is an abundant number, since it is smaller than the sum of its proper divisors (292780345884).

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

138134138340 is a wasteful number, since it uses less digits than its factorization.

138134138340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453137 (or 4453135 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 138134138340 in words is "one hundred thirty-eight billion, one hundred thirty-four million, one hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 4453067 8906134 13359201 17812268 22265335 26718402 44530670 48983737 53436804 66796005 89061340 97967474 133592010 146951211 195934948 209294149 244918685 267184020 293902422 418588298 489837370 587804844 627882447 734756055 837176596 979674740 1046470745 1255764894 1469512110 2092941490 2302235639 2511529788 2939024220 3139412235 4185882980 4604471278 6278824470 6906706917 9208942556 11511178195 12557648940 13813413834 23022356390 27626827668 34533534585 46044712780 69067069170 138134138340