138448678271904780
138,448,678,271,904,780 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138448678271904780 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1944 divisors.
138448678271904780 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138448678271904780:
22 × 3 × 5 × 13 × 172 × 372 × 592 × 3592
(2 × 2 × 3 × 5 × 13 × 17 × 17 × 37 × 37 × 59 × 59 × 359 × 359)See below for interesting mathematical facts about the number 138448678271904780 from the Numbermatics database.
Names of 138448678271904780
- Cardinal: 138448678271904780 can be written as One hundred thirty-eight quadrillion, four hundred forty-eight trillion, six hundred seventy-eight billion, two hundred seventy-one million, nine hundred four thousand, seven hundred eighty.
Scientific notation
- Scientific notation: 1.3844867827190478 × 1017
Factors of 138448678271904780
Divisors of 138448678271904780
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 37 39 51 52 59 60 65 68 74 78 85 102 111 118 130 148 156 170 177 185 195 204 221 222 236 255 260 289 295 340 354 359 370 390 442 444 481 510 555 578 590 629 663 708 718 740 767 780 867 884 885 962 1003 1020 1077 1105 1110 1156 1180 1258 1326 1369 1436 1443 1445 1534 1734 1770 1795 1887 1924 2006 2154 2183 2210 2220 2301 2405 2516 2652 2738 2886 2890 3009 3068 3145 3315 3468 3481 3540 3590 3757 3774 3835 4012 4107 4308 4335 4366 4420 4602 4667 4810 5015 5385 5476 5772 5780 6018 6103 6290 6549 6630 6845 6962 7180 7215 7514 7548 7670 8177 8214 8670 8732 9204 9334 9435 9620 10030 10443 10693 10770 10915 11271 11505 12036 12206 12580 13039 13098 13260 13283 13690 13924 14001 14430 15028 15045 15340 16354 16428 17051 17340 17405 17797 18309 18668 18785 18870 20060 20535 20886 21181 21386 21540 21830 22542 23010 23273 23335 24412 24531 26078 26196 26566 27380 28002 28379 28860 30090 30515 32079 32708 32745 34102 34810 35594 36618 37111 37570 37740 39117 39849 40885 41070 41772 42362 42772 43660 45084 45253 46020 46546 46670 49062 51153 52156 52215 53132 53391 53465 56004 56355 56758 59177 60180 61030 63543 64158 65195 65490 66415 68204 69620 69819 70005 71188 73236 74222 75140 78234 79339 79698 80771 81770 82140 84724 85137 85255 88985 90506 91545 93092 93340 98124 102306 103751 104430 105905 106782 106930 111333 112710 113516 116365 118354 122060 122655 127086 128316 128797 128881 130390 130980 132830 135759 139009 139638 140010 141895 148444 156468 158678 159396 160395 161542 163540 170274 170510 172679 177531 177970 181012 183090 185555 195585 199245 204612 207502 208860 211810 213564 213860 221663 222666 225420 225811 226265 232730 236708 238017 242313 245310 254172 255765 257594 257762 260780 265660 266955 271518 275353 278018 279276 280020 283790 295885 302549 311253 317356 317715 320790 323084 340548 341020 345358 349095 355062 355940 360077 366180 371110 386391 386643 391170 395641 396695 398490 403855 415004 417027 423620 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626464607565180 678669991528945 709993221907204 748371233902188 782195922440140 814403989834734 887491527384005 935464042377735 1064989832860806 1173293883660210 1247285389836980 1357339983057890 1628807979669468 1774983054768010 1870928084755470 2036009974586835 2129979665721612 2307477971198413 2346587767320420 2662474582152015 2714679966115780 3549966109536020 3741856169510940 4072019949173670 4614955942396826 5324949164304030 6922433913595239 8144039898347340 9229911884793652 10649898328608060 11537389855992065 13844867827190478 23074779711984130 27689735654380956 34612169567976195 46149559423968260 69224339135952390 138448678271904780
- Sum of all divisors σ(n): 464939053089498288
- Sum of proper divisors (its aliquot sum) s(n): 326490374817593508
- 138448678271904780 is an abundant number, because the sum of its proper divisors (326490374817593508) is greater than itself. Its abundance is 188041696545688728
Bases of 138448678271904780
- Binary: 1111010111101111001010110111000000000010011101100000011002
- Hexadecimal: 0x1EBDE56E004EC0C
- Base-36: 11V7YKR85EDO
Squares and roots of 138448678271904780
- 138448678271904780 squared (1384486782719047802) is 19168036515237398739693889386848400
- 138448678271904780 cubed (1384486782719047803) is 2653789320602225463377076662376135827490549095352000
-
The
square root of 138448678271904780 is 372086923.0057739881 -
The
cube root of 138448678271904780 is 517324.3705594029
Scales and comparisons
How big is 138448678271904780?- 138,448,678,271,904,780 seconds is equal to 4,402,239,719 years, 8 weeks, 4 days, 16 hours, 13 minutes.
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To count from 1 to 138,448,678,271,904,780 would take you about thirteen billion, two hundred six million, seven hundred nineteen thousand, one hundred fifty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138448678271904780 cubic inches would be around 43110.4 feet tall.
Recreational maths with 138448678271904780
- 138448678271904780 backwards is 087409172876844831
- The number of decimal digits it has is: 18
- The sum of 138448678271904780's digits is 87
- More coming soon!
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The information we have on file for 138448678271904780 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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