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138999888 = 243617701
BaseRepresentation
bin10000100100011…
…11100001010000
3100200112221000000
420102033201100
5241040444023
621443130000
73305323326
oct1022174120
9320487000
10138999888
1171509745
123a673900
1322a4a071
1414663d16
15c30a243
hex848f850

138999888 has 140 divisors (see below), whose sum is σ = 428145588. Its totient is φ = 43545600.

The previous prime is 138999869. The next prime is 138999899. The reversal of 138999888 is 888999831.

It can be written as a sum of positive squares in 2 ways, for example, as 114318864 + 24681024 = 10692^2 + 4968^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 197938 + ... + 198638.

Almost surely, 2138999888 is an apocalyptic number.

138999888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138999888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214072794).

138999888 is an abundant number, since it is smaller than the sum of its proper divisors (289145700).

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

138999888 is an equidigital number, since it uses as much as digits as its factorization.

138999888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The square root of 138999888 is about 11789.8213726926. The cubic root of 138999888 is about 518.0100076082.

The spelling of 138999888 in words is "one hundred thirty-eight million, nine hundred ninety-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 701 729 816 918 972 1224 1296 1377 1402 1458 1836 1944 2103 2448 2754 2804 2916 3672 3888 4131 4206 5508 5608 5832 6309 7344 8262 8412 11016 11216 11664 11917 12393 12618 16524 16824 18927 22032 23834 24786 25236 33048 33648 35751 37854 47668 49572 50472 56781 66096 71502 75708 95336 99144 100944 107253 113562 143004 151416 170343 190672 198288 214506 227124 286008 302832 321759 340686 429012 454248 511029 572016 643518 681372 858024 908496 965277 1022058 1287036 1362744 1716048 1930554 2044116 2574072 2725488 2895831 3861108 4088232 5148144 5791662 7722216 8176464 8687493 11583324 15444432 17374986 23166648 34749972 46333296 69499944 138999888