138332707200
138,332,707,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138332707200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 672 divisors.
138332707200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138332707200:
27 × 36 × 52 × 19 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 3121)See below for interesting mathematical facts about the number 138332707200 from the Numbermatics database.
Names of 138332707200
- Cardinal: 138332707200 can be written as One hundred thirty-eight billion, three hundred thirty-two million, seven hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.383327072 × 1011
Factors of 138332707200
Divisors of 138332707200
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 128 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 243 270 285 288 300 304 320 324 342 360 380 384 400 405 432 450 456 475 480 486 513 540 570 576 600 608 640 648 675 684 720 729 760 800 810 855 864 900 912 950 960 972 1026 1080 1140 1152 1200 1215 1216 1296 1350 1368 1425 1440 1458 1520 1539 1600 1620 1710 1728 1800 1824 1900 1920 1944 2025 2052 2160 2280 2400 2430 2432 2565 2592 2700 2736 2850 2880 2916 3040 3078 3121 3200 3240 3420 3456 3600 3645 3648 3800 3888 4050 4104 4275 4320 4560 4617 4800 4860 5130 5184 5400 5472 5700 5760 5832 6075 6080 6156 6242 6480 6840 7200 7290 7296 7600 7695 7776 8100 8208 8550 8640 9120 9234 9363 9600 9720 10260 10368 10800 10944 11400 11664 12150 12160 12312 12484 12825 12960 13680 13851 14400 14580 15200 15390 15552 15605 16200 16416 17100 17280 18225 18240 18468 18726 19440 20520 21600 21888 22800 23085 23328 24300 24624 24968 25650 25920 27360 27702 28089 28800 29160 30400 30780 31104 31210 32400 32832 34200 36450 36480 36936 37452 38475 38880 41040 43200 45600 46170 46656 46815 48600 49248 49936 51300 51840 54720 55404 56178 58320 59299 60800 61560 62420 64800 65664 68400 69255 72900 73872 74904 76950 77760 78025 82080 84267 86400 91200 92340 93312 93630 97200 98496 99872 102600 109440 110808 112356 115425 116640 118598 123120 124840 129600 136800 138510 140445 145800 147744 149808 153900 155520 156050 164160 168534 177897 182400 184680 187260 194400 196992 199744 205200 221616 224712 230850 233280 234075 237196 246240 249680 252801 259200 273600 277020 280890 291600 295488 296495 299616 307800 312100 328320 337068 346275 355794 369360 374520 388800 399488 410400 421335 443232 449424 461700 466560 468150 474392 492480 499360 505602 533691 547200 554040 561780 583200 590976 592990 599232 615600 624200 674136 692550 702225 711588 738720 749040 758403 777600 820800 842670 886464 889485 898848 923400 936300 948784 984960 998720 1011204 1067382 1108080 1123560 1166400 1185980 1198464 1231200 1248400 1264005 1348272 1385100 1404450 1423176 1477440 1482475 1498080 1516806 1601073 1641600 1685340 1772928 1778970 1797696 1846800 1872600 1897568 1997440 2022408 2106675 2134764 2216160 2247120 2275209 2332800 2371960 2462400 2496800 2528010 2668455 2696544 2770200 2808900 2846352 2954880 2964950 2996160 3033612 3202146 3370680 3557940 3595392 3693600 3745200 3792015 3795136 4044816 4213350 4269528 4432320 4447425 4494240 4550418 4743920 4803219 4924800 4993600 5056020 5336910 5393088 5540400 5617800 5692704 5929900 5992320 6067224 6320025 6404292 6741360 7115880 7387200 7490400 7584030 7590272 8005365 8089632 8426700 8539056 8864640 8894850 8988480 9100836 9487840 9606438 9987200 10112040 10673820 10786176 11080800 11235600 11376045 11385408 11859800 12134448 12640050 12808584 13342275 13482720 14231760 14409657 14774400 14980800 15168060 16010730 16179264 16853400 17078112 17789700 17976960 18201672 18960075 18975680 19212876 20224080 21347640 22161600 22471200 22752090 22770816 23719600 24016095 24268896 25280100 25617168 26684550 26965440 28463520 28819314 29961600 30336120 32021460 32358528 33706800 34156224 35579400 36403344 37920150 37951360 38425752 40026825 40448160 42695280 43228971 44323200 44942400 45504180 47439200 48032190 48537792 50560200 51234336 53369100 53930880 56880225 56927040 57638628 60672240 64042920 67413600 68312448 71158800 72048285 72806688 75840300 76851504 80053650 80896320 85390560 86457942 89884800 91008360 94878400 96064380 97075584 101120400 102468672 106738200 113760450 113854080 115277256 120080475 121344480 128085840 134827200 142317600 144096570 145613376 151680600 153703008 160107300 161792640 170781120 172915884 182016720 189756800 192128760 202240800 204937344 213476400 216144855 227520900 230554512 240160950 242688960 256171680 269654400 284635200 288193140 291226752 303361200 307406016 320214600 341562240 345831768 360241425 364033440 384257520 404481600 426952800 432289710 455041800 461109024 480321900 485377920 512343360 569270400 576386280 606722400 614812032 640429200 691663536 720482850 728066880 768515040 808963200 853905600 864579420 910083600 922218048 960643800 1024686720 1080724275 1152772560 1213444800 1280858400 1383327072 1440965700 1456133760 1537030080 1707811200 1729158840 1820167200 1844436096 1921287600 2161448550 2305545120 2426889600 2561716800 2766654144 2881931400 3074060160 3458317680 3640334400 3842575200 4322897100 4611090240 5123433600 5533308288 5763862800 6916635360 7280668800 7685150400 8645794200 9222180480 11527725600 13833270720 15370300800 17291588400 23055451200 27666541440 34583176800 46110902400 69166353600 138332707200
- Sum of all divisors σ(n): 539491902600
- Sum of proper divisors (its aliquot sum) s(n): 401159195400
- 138332707200 is an abundant number, because the sum of its proper divisors (401159195400) is greater than itself. Its abundance is 262826488200
Bases of 138332707200
- Binary: 100000001101010100010110011001100000002
- Hexadecimal: 0x2035459980
- Base-36: 1RJRQ000
Squares and roots of 138332707200
- 138332707200 squared (1383327072002) is 19135937881280931840000
- 138332707200 cubed (1383327072003) is 2647126091928623505165877248000000
-
The
square root of 138332707200 is 371931.0516749039 -
The
cube root of 138332707200 is 5171.7988520023
Scales and comparisons
How big is 138332707200?- 138,332,707,200 seconds is equal to 4,398 years, 28 weeks, 5 days.
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To count from 1 to 138,332,707,200 would take you about eight thousand, seven hundred ninety-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 138332707200 cubic inches would be around 431 feet tall.
Recreational maths with 138332707200
- 138332707200 backwards is 002707233831
- 138332707200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138332707200's digits is 36
- More coming soon!
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The information we have on file for 138332707200 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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