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138240858288 = 243131811223977
BaseRepresentation
bin1000000010111111001…
…1000001100010110000
3111012211020120012222110
42000233303001202300
54231104124431123
6143301301205320
712662510623161
oct2005763014260
9435736505873
10138240858288
115369a3a6a15
1222960700840
13100612a9340
146995b4d768
1538e1589493
hex202fcc18b0

138240858288 has 80 divisors (see below), whose sum is σ = 386718297056. Its totient is φ = 42300610560.

The previous prime is 138240858271. The next prime is 138240858289. The reversal of 138240858288 is 882858042831.

It is a happy number.

It is a super-2 number, since 2×1382408582882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138240858289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499045 + ... + 724932.

Almost surely, 2138240858288 is an apocalyptic number.

It is an amenable number.

138240858288 is an abundant number, since it is smaller than the sum of its proper divisors (248477438768).

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

138240858288 is a wasteful number, since it uses less digits than its factorization.

138240858288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224182 (or 1224176 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 57.

The spelling of 138240858288 in words is "one hundred thirty-eight billion, two hundred forty million, eight hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 181 208 312 362 543 624 724 1086 1448 2172 2353 2896 4344 4706 7059 8688 9412 14118 18824 28236 37648 56472 112944 1223977 2447954 3671931 4895908 7343862 9791816 14687724 15911701 19583632 29375448 31823402 47735103 58750896 63646804 95470206 127293608 190940412 221539837 254587216 381880824 443079674 664619511 763761648 886159348 1329239022 1772318696 2658478044 2880017881 3544637392 5316956088 5760035762 8640053643 10633912176 11520071524 17280107286 23040143048 34560214572 46080286096 69120429144 138240858288