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138340028136 = 233232029123517
BaseRepresentation
bin1000000011010110110…
…1010100111011101000
3111020002011011120102210
42000311231110323220
54231310021400021
6143315202525120
712665123560122
oct2006555247350
9436064146383
10138340028136
1153740380772
12229899667a0
13100789bc01b
1469a4da6212
1538ea127e76
hex2035b54ee8

138340028136 has 64 divisors (see below), whose sum is σ = 361067817600. Its totient is φ = 44086318848.

The previous prime is 138340028089. The next prime is 138340028153. The reversal of 138340028136 is 631820043831.

It is a junction number, because it is equal to n+sod(n) for n = 138340028094 and 138340028103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058250 + ... + 1181766.

It is an arithmetic number, because the mean of its divisors is an integer number (5641684650).

Almost surely, 2138340028136 is an apocalyptic number.

It is an amenable number.

138340028136 is an abundant number, since it is smaller than the sum of its proper divisors (222727789464).

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

138340028136 is a wasteful number, since it uses less digits than its factorization.

138340028136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125578 (or 125574 counting only the distinct ones).

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

The spelling of 138340028136 in words is "one hundred thirty-eight billion, three hundred forty million, twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2029 4058 6087 8116 12174 16232 24348 46667 48696 93334 123517 140001 186668 247034 280002 370551 373336 494068 560004 741102 988136 1120008 1482204 2840891 2964408 5681782 8522673 11363564 17045346 22727128 34090692 68181384 250615993 501231986 751847979 1002463972 1503695958 2004927944 3007391916 5764167839 6014783832 11528335678 17292503517 23056671356 34585007034 46113342712 69170014068 138340028136