106939467014400
106,939,467,014,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 106939467014400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
106939467014400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 106939467014400:
28 × 32 × 52 × 17 × 137 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 137 × 797161)See below for interesting mathematical facts about the number 106939467014400 from the Numbermatics database.
Names of 106939467014400
- Cardinal: 106939467014400 can be written as One hundred six trillion, nine hundred thirty-nine billion, four hundred sixty-seven million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.069394670144 × 1014
Factors of 106939467014400
Divisors of 106939467014400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 128 136 137 144 150 153 160 170 180 192 200 204 225 240 255 256 272 274 288 300 306 320 340 360 384 400 408 411 425 450 480 510 544 548 576 600 612 640 680 685 720 765 768 800 816 822 850 900 960 1020 1088 1096 1152 1200 1224 1233 1275 1280 1360 1370 1440 1530 1600 1632 1644 1700 1800 1920 2040 2055 2176 2192 2304 2329 2400 2448 2466 2550 2720 2740 2880 3060 3200 3264 3288 3400 3425 3600 3825 3840 4080 4110 4352 4384 4658 4800 4896 4932 5100 5440 5480 5760 6120 6165 6400 6528 6576 6800 6850 6987 7200 7650 8160 8220 8768 9316 9600 9792 9864 10200 10275 10880 10960 11520 11645 12240 12330 13056 13152 13600 13700 13974 14400 15300 16320 16440 17536 18632 19200 19584 19728 20400 20550 20961 21760 21920 23290 24480 24660 26304 27200 27400 27948 28800 30600 30825 32640 32880 34935 35072 37264 39168 39456 40800 41100 41922 43840 46580 48960 49320 52608 54400 54800 55896 57600 58225 61200 61650 65280 65760 69870 74528 78912 81600 82200 83844 87680 93160 97920 98640 104805 105216 108800 109600 111792 116450 122400 123300 131520 139740 149056 157824 163200 164400 167688 174675 175360 186320 195840 197280 209610 219200 223584 232900 244800 246600 263040 279480 298112 315648 326400 328800 335376 349350 372640 394560 419220 438400 447168 465800 489600 493200 524025 526080 558960 596224 657600 670752 698700 745280 789120 797161 838440 876800 894336 931600 979200 986400 1048050 1117920 1315200 1341504 1397400 1490560 1578240 1594322 1676880 1788672 1863200 1972800 2096100 2235840 2391483 2630400 2683008 2794800 2981120 3188644 3353760 3726400 3945600 3985805 4192200 4471680 4782966 5366016 5589600 6377288 6707520 7174449 7452800 7891200 7971610 8384400 8943360 9565932 11179200 11957415 12754576 13415040 13551737 14348898 14905600 15943220 16768800 19131864 19929025 22358400 23914830 25509152 26830080 27103474 28697796 31886440 33537600 35872245 38263728 39858050 40655211 44716800 47829660 51018304 54206948 57395592 59787075 63772880 67075200 67758685 71744490 76527456 79716100 81310422 95659320 102036608 108413896 109211057 114791184 119574150 121965633 127545760 134150400 135517370 143488980 153054912 159432200 162620844 179361225 191318640 203276055 204073216 216827792 218422114 229582368 239148300 243931266 255091520 271034740 286977960 306109824 318864400 325241688 327633171 338793425 358722450 382637280 406552110 433655584 436844228 459164736 478296600 487862532 510183040 542069480 546055285 573955920 609828165 612219648 637728800 650483376 655266342 677586850 717444900 765274560 813104220 867311168 873688456 918329472 956593200 975725064 982899513 1016380275 1020366080 1084138960 1092110570 1147911840 1219656330 1275457600 1300966752 1310532684 1355173700 1434889800 1530549120 1626208440 1638165855 1734622336 1747376912 1836658944 1856587969 1913186400 1951450128 1965799026 2032760550 2168277920 2184221140 2295823680 2439312660 2550915200 2601933504 2621065368 2710347400 2730276425 2869779600 3049140825 3061098240 3252416880 3276331710 3469244672 3494753824 3713175938 3826372800 3902900256 3931598052 4065521100 4336555840 4368442280 4591647360 4878625320 4914497565 5101830400 5203867008 5242130736 5420694800 5460552850 5569763907 5739559200 6098281650 6504833760 6552663420 6989507648 7426351876 7652745600 7805800512 7863196104 8131042200 8190829275 8673111680 8736884560 9183294720 9282939845 9757250640 9828995130 10407734016 10484261472 10841389600 10921105700 11139527814 11479118400 12196563300 13009667520 13105326840 13979015296 14852703752 15305491200 15611601024 15726392208 16262084400 16381658550 16709291721 17346223360 17473769120 18565879690 19514501280 19657990260 20968522944 21682779200 21842211400 22279055628 22958236800 24393126600 24572487825 26019335040 26210653680 27848819535 27958030592 29705407504 31223202048 31452784416 32524168800 32763317100 33418583442 34947538240 37131759380 39029002560 39315980520 41937045888 43365558400 43684422800 44558111256 45916473600 46414699225 48786253200 49144975650 52038670080 52421307360 55697639070 59410815008 62905568832 65048337600 65526634200 66837166884 69895076480 74263518760 78058005120 78631961040 83546458605 83874091776 86731116800 87368845600 89116222512 92829398450 97572506400 98289951300 104842614720 111395278140 118821630016 125811137664 130096675200 131053268400 133674333768 139244097675 139790152960 148527037520 156116010240 157263922080 167092917210 174737691200 178232445024 185658796900 195145012800 196579902600 209685229440 222790556280 237643260032 251622275328 260193350400 262106536800 267348667536 278488195350 297054075040 314527844160 334185834420 349475382400 356464890048 371317593800 390290025600 393159805200 417732293025 419370458880 445581112560 475286520064 524213073600 534697335072 556976390700 594108150080 629055688320 668371668840 698950764800 712929780096 742635187600 780580051200 786319610400 835464586050 891162225120 1048426147200 1069394670144 1113952781400 1188216300160 1258111376640 1336743337680 1425859560192 1485270375200 1572639220800 1670929172100 1782324450240 2096852294400 2138789340288 2227905562800 2376432600320 2673486675360 2970540750400 3145278441600 3341858344200 3564648900480 4277578680576 4455811125600 5346973350720 5941081500800 6290556883200 6683716688400 7129297800960 8911622251200 10693946701440 11882163001600 13367433376800 17823244502400 21387893402880 26734866753600 35646489004800 53469733507200 106939467014400
- Sum of all divisors σ(n): 407778313970664
- Sum of proper divisors (its aliquot sum) s(n): 300838846956264
- 106939467014400 is an abundant number, because the sum of its proper divisors (300838846956264) is greater than itself. Its abundance is 193899379941864
Bases of 106939467014400
- Binary: 110000101000010110010001111000110100001000000002
- Hexadecimal: 0x6142C8F1A100
- Base-36: 11WNB9KCG0
Squares and roots of 106939467014400
- 106939467014400 squared (1069394670144002) is 11436049605323945649807360000
- 106939467014400 cubed (1069394670144003) is 1222965049543582224444032548434345984000000
-
The
square root of 106939467014400 is 10341154.0465462557 -
The
cube root of 106939467014400 is 47465.6397141717
Scales and comparisons
How big is 106939467014400?- 106,939,467,014,400 seconds is equal to 3,400,344 years, 13 weeks, 5 days, 16 hours.
-
To count from 1 to 106,939,467,014,400 would take you about eight million, five hundred thousand, eight hundred sixty 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 106939467014400 cubic inches would be around 3955.5 feet tall.
Recreational maths with 106939467014400
- 106939467014400 backwards is 004410764939601
- The number of decimal digits it has is: 15
- The sum of 106939467014400's digits is 54
- More coming soon!
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The information we have on file for 106939467014400 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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