138168973800
138,168,973,800 is an even composite number composed of six prime numbers multiplied together.
138168973800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138168973800:
23 × 37 × 52 × 11 × 13 × 472
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 47 × 47)See below for interesting mathematical facts about the number 138168973800 from the Numbermatics database.
Names of 138168973800
- Cardinal: 138168973800 can be written as One hundred thirty-eight billion, one hundred sixty-eight million, nine hundred seventy-three thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381689738 × 1011
Factors of 138168973800
Divisors of 138168973800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 25 26 27 30 33 36 39 40 44 45 47 50 52 54 55 60 65 66 72 75 78 81 88 90 94 99 100 104 108 110 117 120 130 132 135 141 143 150 156 162 165 180 188 195 198 200 216 220 225 234 235 243 260 264 270 275 282 286 297 300 312 324 325 330 351 360 376 390 396 405 423 429 440 450 468 470 486 495 517 520 540 550 564 572 585 594 600 611 648 650 660 675 702 705 715 729 780 792 810 825 846 858 891 900 936 940 972 975 990 1034 1053 1080 1100 1128 1144 1170 1175 1188 1215 1222 1269 1287 1300 1320 1350 1404 1410 1430 1458 1485 1551 1560 1620 1650 1692 1716 1755 1782 1800 1833 1880 1944 1950 1980 2025 2068 2106 2115 2145 2187 2200 2209 2340 2350 2376 2430 2444 2475 2538 2574 2585 2600 2673 2700 2808 2820 2860 2916 2925 2970 3055 3102 3159 3240 3300 3384 3432 3510 3525 3564 3575 3645 3666 3807 3861 3900 3960 4050 4136 4212 4230 4290 4374 4418 4455 4653 4680 4700 4860 4888 4950 5076 5148 5170 5265 5346 5400 5499 5640 5720 5832 5850 5940 6075 6110 6204 6318 6345 6435 6600 6627 6721 7020 7050 7128 7150 7290 7332 7425 7614 7722 7755 7800 8019 8100 8424 8460 8580 8748 8775 8836 8910 9165 9306 9400 9477 9720 9900 10152 10296 10340 10530 10575 10692 10725 10935 10998 11045 11421 11583 11700 11880 12150 12220 12408 12636 12690 12870 12925 13254 13365 13442 13959 14040 14100 14300 14580 14664 14850 15228 15275 15444 15510 15795 16038 16200 16497 16920 17160 17496 17550 17672 17820 18225 18330 18612 18954 19035 19305 19800 19881 20163 20680 21060 21150 21384 21450 21870 21996 22090 22275 22842 23166 23265 23400 24057 24299 24300 24440 25272 25380 25740 25850 26325 26508 26730 26884 27495 27918 28200 28431 28600 28717 29160 29700 30456 30550 30888 31020 31590 31725 32076 32175 32994 33135 33605 34263 34749 35100 35640 36450 36660 37224 37908 38070 38610 38775 39762 40095 40326 41877 42120 42300 42900 43740 43992 44180 44550 45684 45825 46332 46530 47385 48114 48598 48600 49491 50760 51480 51700 52650 53016 53460 53768 54675 54990 55225 55836 56862 57105 57434 57915 59400 59643 60489 61100 62040 63180 63450 64152 64350 65988 66270 66825 67210 68526 69498 69795 70200 72897 72900 73320 75816 76140 77220 77550 78975 79524 80190 80652 82485 83754 84600 85800 86151 87480 88360 89100 91368 91650 92664 93060 94770 95175 96228 96525 97196 98982 99405 100815 102789 103400 104247 105300 106920 109350 109980 110450 111672 113724 114210 114868 115830 116325 119286 120285 120978 121495 122200 125631 126360 126900 128700 131976 132540 133650 134420 137052 137475 138996 139590 142155 143585 145794 145800 148473 152280 154440 155100 157950 159048 160380 161304 164970 165675 167508 168025 171315 172302 173745 178200 178929 181467 183300 186120 189540 190350 192456 193050 194392 197964 198810 200475 201630 205578 208494 209385 210600 218691 218700 219960 220900 227448 228420 229736 231660 232650 236925 238572 240570 241956 242990 247455 251262 253800 257400 258453 265080 267300 268840 274104 274950 277992 279180 284310 285525 287170 289575 291588 296946 298215 302445 310200 312741 315887 315900 320760 329940 331350 335016 336050 342630 344604 347490 348975 357858 362934 364485 366600 376893 379080 380700 386100 395928 397620 400950 403260 411156 412425 416988 418770 430755 437382 437400 441800 445419 456840 463320 465300 473850 477144 481140 483912 485980 494910 497025 502524 504075 513945 516906 521235 534600 536787 544401 549900 558360 568620 571050 574340 579150 583176 593892 596430 601425 604890 607475 625482 628155 631774 631800 656073 659880 662700 672100 685260 689208 694980 697950 710775 715716 717925 725868 728970 742365 753786 761400 772200 775359 795240 801900 806520 822312 824850 833976 837540 856575 861510 868725 874764 890838 894645 907335 930600 947661 947700 962280 971960 989820 994050 1005048 1008150 1027890 1033812 1042470 1046925 1073574 1088802 1093455 1099800 1130679 1137240 1142100 1148680 1158300 1187784 1192860 1202850 1209780 1214950 1237275 1250964 1256310 1263548 1292265 1312146 1325400 1336257 1344200 1370520 1389960 1395900 1421550 1431432 1435850 1451736 1457940 1484730 1491075 1507572 1512225 1550718 1563705 1579435 1603800 1610361 1633203 1649700 1675080 1713150 1723020 1737450 1749528 1781676 1789290 1814670 1822425 1884465 1895322 1895400 1968219 1979640 1988100 2016300 2055780 2067624 2084940 2093850 2147148 2153775 2177604 2186910 2227095 2261358 2284200 2316600 2326077 2385720 2405700 2419560 2429900 2474550 2501928 2512620 2527096 2569725 2584530 2606175 2624292 2672514 2683935 2722005 2791800 2842983 2843100 2871700 2915880 2969460 2982150 3015144 3024450 3101436 3127410 3140775 3158870 3220722 3266406 3280365 3299400 3426300 3446040 3474900 3563352 3578580 3629340 3644850 3711825 3768930 3790644 3876795 3936438 3976200 4032600 4111560 4169880 4187700 4294296 4307550 4355208 4373820 4454190 4473225 4522716 4536675 4652154 4738305 4811400 4831083 4859800 4899609 4949100 5025240 5139450 5169060 5212350 5248584 5345028 5367870 5444010 5467275 5653395 5685966 5686200 5743400 5904657 5938920 5964300 6048900 6202872 6254820 6281550 6317740 6441444 6461325 6532812 6560730 6681285 6852600 6949800 6978231 7157160 7258680 7289700 7423650 7537860 7581288 7753590 7818525 7872876 7897175 8051805 8166015 8375400 8528949 8615100 8747640 8908380 8946450 9045432 9073350 9304308 9422325 9476610 9662166 9799218 9841095 9898200 10278900 10338120 10424700 10690056 10735740 10888020 10934550 11135475 11306790 11371932 11630385 11809314 11928600 12097800 12509640 12563100 12635480 12882888 12922650 13065624 13121460 13362570 13419675 13610025 13956462 14214915 14579400 14698827 14847300 15075720 15507180 15637050 15745752 15794350 16103610 16332030 16401825 17057898 17230200 17713971 17816760 17892900 18146700 18608616 18844650 18953220 19324332 19383975 19598436 19682190 20557800 20849400 20934693 21471480 21776040 21869100 22270950 22613580 22743864 23260770 23618628 23691525 24155415 24498045 25126200 25586847 25845300 26242920 26725140 26839350 27220050 27912924 28266975 28429830 29397654 29523285 29694600 31014360 31274100 31588700 32207220 32664060 32803650 33406425 34115796 34891155 35427942 35785800 36293400 37689300 37906440 38648664 38767950 39196872 39364380 40259025 40830075 41869386 42644745 43738200 44541900 45227160 46521540 47237256 47383050 48310830 48996090 49205475 51173694 51690600 53141913 53450280 53678700 54440100 55825848 56533950 56859660 58151925 58795308 59046570 62548200 62804079 63177400 64414440 65328120 65607300 66812850 68231592 69782310 70855884 71074575 73494135 75378600 76760541 77535900 78728760 80518050 81660150 83738772 85289490 88569855 89083800 93043080 94766100 96621660 97992180 98410950 102347388 104673465 106283826 107357400 108880200 113067900 113719320 116303850 117590616 118093140 120777075 122490225 125608158 127934235 131214600 133625700 139564620 141711768 142149150 146988270 147616425 153521082 155071800 161036100 163320300 167477544 170578980 174455775 177139710 189532200 193243320 195984360 196821900 204694776 209346930 212567652 213223725 226135800 230281623 232607700 236186280 241554150 244980450 251216316 255868470 265709565 267251400 279129240 284298300 293976540 295232850 307042164 314020395 322072200 326640600 341157960 348911550 354279420 367470675 383802705 393643800 418693860 425135304 426447450 442849275 460563246 465215400 483108300 489960900 502432632 511736940 523367325 531419130 568596600 587953080 590465700 614084328 628040790 639671175 690844869 697823100 708558840 734941350 767605410 837387720 852894900 885698550 921126492 966216600 979921800 1023473880 1046734650 1062838260 1151408115 1180931400 1256081580 1279342350 1328547825 1381689738 1395646200 1469882700 1535210820 1570101975 1705789800 1771397100 1842252984 1919013525 2093469300 2125676520 2302816230 2512163160 2558684700 2657095650 2763379476 2939765400 3070421640 3140203950 3454224345 3542794200 3838027050 4186938600 4605632460 5117369400 5314191300 5526758952 5757040575 6280407900 6908448690 7676054100 9211264920 10628382600 11514081150 12560815800 13816897380 15352108200 17271121725 23028162300 27633794760 34542243450 46056324600 69084486900 138168973800
- Sum of all divisors σ(n): 578319235200
- Sum of proper divisors (its aliquot sum) s(n): 440150261400
- 138168973800 is an abundant number, because the sum of its proper divisors (440150261400) is greater than itself. Its abundance is 301981287600
Bases of 138168973800
- Binary: 100000001010111000001100111001111010002
- Hexadecimal: 0x202B8339E8
- Base-36: 1RH28MI0
Squares and roots of 138168973800
- 138168973800 squared (1381689738002) is 19090665320945086440000
- 138168973800 cubed (1381689738003) is 2637737636554230239567095272000000
-
The
square root of 138168973800 is 371710.8739329535 -
The
cube root of 138168973800 is 5169.7575643893
Scales and comparisons
How big is 138168973800?- 138,168,973,800 seconds is equal to 4,393 years, 17 weeks, 6 days, 22 hours, 30 minutes.
-
To count from 1 to 138,168,973,800 would take you about eight thousand, seven hundred eighty-six 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 138168973800 cubic inches would be around 430.8 feet tall.
Recreational maths with 138168973800
- 138168973800 backwards is 008379861831
- 138168973800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138168973800's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138168973800 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138168973800/
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The information we have on file for 138168973800 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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