106920088646400
106,920,088,646,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 106920088646400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
106920088646400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 106920088646400:
28 × 35 × 52 × 17 × 20112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 2011 × 2011)See below for interesting mathematical facts about the number 106920088646400 from the Numbermatics database.
Names of 106920088646400
- Cardinal: 106920088646400 can be written as One hundred six trillion, nine hundred twenty billion, eighty-eight million, six hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.069200886464 × 1014
Factors of 106920088646400
Divisors of 106920088646400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 255 256 270 272 288 300 306 320 324 340 360 384 400 405 408 425 432 450 459 480 486 510 540 544 576 600 612 640 648 675 680 720 765 768 800 810 816 850 864 900 918 960 972 1020 1080 1088 1152 1200 1215 1224 1275 1280 1296 1350 1360 1377 1440 1530 1600 1620 1632 1700 1728 1800 1836 1920 1944 2011 2025 2040 2160 2176 2295 2304 2400 2430 2448 2550 2592 2700 2720 2754 2880 3060 3200 3240 3264 3400 3456 3600 3672 3825 3840 3888 4022 4050 4080 4131 4320 4352 4590 4800 4860 4896 5100 5184 5400 5440 5508 5760 6033 6075 6120 6400 6480 6528 6800 6885 6912 7200 7344 7650 7776 8044 8100 8160 8262 8640 9180 9600 9720 9792 10055 10200 10368 10800 10880 11016 11475 11520 12066 12150 12240 12960 13056 13600 13770 14400 14688 15300 15552 16088 16200 16320 16524 17280 18099 18360 19200 19440 19584 20110 20400 20655 20736 21600 21760 22032 22950 24132 24300 24480 25920 27200 27540 28800 29376 30165 30600 31104 32176 32400 32640 33048 34187 34425 34560 36198 36720 38880 39168 40220 40800 41310 43200 44064 45900 48264 48600 48960 50275 51840 54297 54400 55080 57600 58752 60330 61200 62208 64352 64800 65280 66096 68374 68850 72396 73440 77760 80440 81600 82620 86400 88128 90495 91800 96528 97200 97920 100550 102561 103275 103680 108594 108800 110160 117504 120660 122400 128704 129600 132192 136748 137700 144792 146880 150825 155520 160880 162891 163200 165240 170935 172800 176256 180990 183600 193056 194400 195840 201100 205122 206550 217188 220320 241320 244800 257408 259200 264384 271485 273496 275400 289584 293760 301650 307683 311040 321760 325782 326400 330480 341870 352512 361980 367200 386112 388800 402200 410244 413100 434376 440640 452475 482640 488673 489600 512805 514816 518400 528768 542970 546992 550800 579168 587520 603300 615366 643520 651564 660960 683740 723960 734400 772224 777600 804400 814455 820488 826200 854675 868752 881280 904950 923049 965280 977346 979200 1025610 1057536 1085940 1093984 1101600 1158336 1206600 1230732 1287040 1303128 1321920 1357425 1367480 1447920 1468800 1538415 1544448 1555200 1608800 1628910 1640976 1652400 1709350 1737504 1762560 1809900 1846098 1930560 1954692 2051220 2171880 2187968 2203200 2316672 2413200 2443365 2461464 2564025 2574080 2606256 2643840 2714850 2734960 2769147 2895840 2937600 3076830 3217600 3257820 3281952 3304800 3418700 3475008 3619800 3692196 3861120 3909384 4044121 4072275 4102440 4343760 4375936 4406400 4615245 4633344 4826400 4886730 4922928 5128050 5212512 5287680 5429700 5469920 5538294 5791680 6153660 6435200 6515640 6563904 6609600 6837400 6950016 7239600 7384392 7692075 7722240 7818768 8088242 8144550 8204880 8307441 8687520 8751872 8812800 9230490 9652800 9773460 9845856 10256100 10425024 10859400 10939840 11076588 11583360 12132363 12216825 12307320 12870400 13031280 13127808 13219200 13674800 13845735 13900032 14479200 14768784 15384150 15637536 16176484 16289100 16409760 16614882 17375040 18460980 19305600 19546920 19691712 20220605 20512200 20850048 21718800 21879680 22153176 23076225 23166720 24264726 24433650 24614640 26062560 26255616 26438400 27349600 27691470 28958400 29537568 30768300 31275072 32352968 32578200 32819520 33229764 34750080 36397089 36921960 38611200 39093840 39383424 40441210 41024400 41537205 41700096 43437600 43759360 44306352 46152450 48529452 48867300 49229280 52125120 54699200 55382940 57916800 59075136 60661815 61536600 62550144 64705936 65156400 65639040 66459528 68750057 69228675 69500160 72794178 73843920 78187680 78766848 80882420 82048800 83074410 86875200 88612704 92304900 97058904 97734600 98458560 101103025 104250240 109191267 109398400 110765880 115833600 118150272 121323630 123073200 125100288 129411872 130312800 131278080 132919056 137500114 138457350 145588356 147687840 156375360 161764840 164097600 166148820 173750400 177225408 181985445 184609800 194117808 195469200 196917120 202206050 206250171 207686025 208500480 218382534 218796800 221531760 236300544 242647260 246146400 258823744 260625600 265838112 275000228 276914700 291176712 295375680 303309075 312750720 323529680 327573801 328195200 332297640 343750285 347500800 354450816 363970890 369219600 388235616 390938400 393834240 404412100 412500342 415372050 436765068 443063520 485294520 492292800 517647488 521251200 531676224 545956335 550000456 553829400 582353424 590751360 606618150 618750513 625501440 647059360 655147602 656390400 664595280 687500570 708901632 727941780 738439200 776471232 781876800 808824200 825000684 830744100 873530136 886127040 909927225 970589040 982721403 984585600 1031250855 1035294976 1042502400 1063352448 1091912670 1100000912 1107658800 1164706848 1181502720 1213236300 1237501026 1294118720 1310295204 1329190560 1375001140 1455883560 1476878400 1552942464 1563753600 1617648400 1637869005 1650001368 1661488200 1718751425 1747060272 1772254080 1819854450 1856251539 1941178080 1965442806 1969171200 2062501710 2126704896 2183825340 2200001824 2215317600 2329413696 2426472600 2475002052 2588237440 2620590408 2658381120 2729781675 2750002280 2911767120 2953756800 3093752565 3105884928 3127507200 3235296800 3275738010 3300002736 3322976400 3437502850 3494120544 3544508160 3639708900 3712503078 3882356160 3930885612 4125003420 4367650680 4400003648 4430635200 4658827392 4852945200 4913607015 4950004104 5156254275 5176474880 5241180816 5316762240 5459563350 5500004560 5568754617 5823534240 5907513600 6187505130 6470593600 6551476020 6600005472 6645952800 6875005700 6988241088 7279417800 7425006156 7764712320 7861771224 8189345025 8250006840 8735301360 8800007296 8861270400 9281257695 9317654784 9705890400 9827214030 9900008208 10312508550 10482361632 10633524480 10919126700 11000009120 11137509234 11647068480 12375010260 12941187200 13102952040 13200010944 13291905600 13750011400 13976482176 14558835600 14850012312 15468762825 15529424640 15723542448 16378690050 16500013680 16706263851 17470602720 17600014592 17722540800 18562515390 19411780800 19654428060 19800016416 20625017100 20964723264 21838253400 22000018240 22275018468 23294136960 24568035075 24750020520 25882374400 26205904080 26400021888 26583811200 27500022800 27843773085 27952964352 29117671200 29700024624 30937525650 31447084896 32757380100 33000027360 33412527702 34941205440 37125030780 38823561600 39308856120 39600032832 41250034200 41929446528 43676506800 44000036480 44550036936 46406288475 46588273920 49136070150 49500041040 52411808160 52800043776 53167622400 55000045600 55687546170 58235342400 59400049248 61875051300 62894169792 65514760200 66000054720 66825055404 69882410880 74250061560 77647123200 78617712240 79200065664 82500068400 83531319255 83858893056 87353013600 88000072960 89100073872 92812576950 98272140300 99000082080 104823616320 110000091200 111375092340 116470684800 118800098496 123750102600 125788339584 131029520400 132000109440 133650110808 139218865425 139764821760 148500123120 157235424480 158400131328 165000136800 167062638510 174706027200 178200147744 185625153900 196544280600 198000164160 209647232640 220000182400 222750184680 232941369600 237600196992 247500205200 251576679168 262059040800 264000218880 267300221616 278437730850 297000246240 314470848960 330000273600 334125277020 349412054400 356400295488 371250307800 393088561200 396000328320 417656596275 419294465280 440000364800 445500369360 475200393984 495000410400 524118081600 534600443232 556875461700 594000492480 628941697920 660000547200 668250554040 698824108800 712800590976 742500615600 786177122400 792000656640 835313192550 891000738720 990000820800 1048236163200 1069200886464 1113750923400 1188000984960 1257883395840 1320001094400 1336501108080 1425601181952 1485001231200 1572354244800 1670626385100 1782001477440 1980001641600 2096472326400 2138401772928 2227501846800 2376001969920 2673002216160 2970002462400 3144708489600 3341252770200 3564002954880 3960003283200 4276803545856 4455003693600 5346004432320 5940004924800 6289416979200 6682505540400 7128005909760 8910007387200 10692008864640 11880009849600 13365011080800 17820014774400 21384017729280 26730022161600 35640029548800 53460044323200 106920088646400
- Sum of all divisors σ(n): 419949082772856
- Sum of proper divisors (its aliquot sum) s(n): 313028994126456
- 106920088646400 is an abundant number, because the sum of its proper divisors (313028994126456) is greater than itself. Its abundance is 206108905480056
Bases of 106920088646400
- Binary: 110000100111110010001011110011100110011000000002
- Hexadecimal: 0x613E45E73300
- Base-36: 11WEES6O00
Squares and roots of 106920088646400
- 106920088646400 squared (1069200886464002) is 11431905356154034184232960000
- 106920088646400 cubed (1069200886464003) is 1222300334077244298751163992388665344000000
-
The
square root of 106920088646400 is 10340217.0502557633 -
The
cube root of 106920088646400 is 47462.7724777683
Scales and comparisons
How big is 106920088646400?- 106,920,088,646,400 seconds is equal to 3,399,728 years, 4 weeks, 6 days.
-
To count from 1 to 106,920,088,646,400 would take you about eight million, four hundred ninety-nine thousand, three hundred twenty 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 106920088646400 cubic inches would be around 3955.2 feet tall.
Recreational maths with 106920088646400
- 106920088646400 backwards is 004646880029601
- 106920088646400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106920088646400's digits is 54
- More coming soon!
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The information we have on file for 106920088646400 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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