10148310806400
10,148,310,806,400 is an even composite number composed of six prime numbers multiplied together.
10148310806400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 10148310806400:
27 × 33 × 52 × 13 × 17 × 531481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 17 × 531481)See below for interesting mathematical facts about the number 10148310806400 from the Numbermatics database.
Names of 10148310806400
- Cardinal: 10148310806400 can be written as Ten trillion, one hundred forty-eight billion, three hundred ten million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.01483108064 × 1013
Factors of 10148310806400
Divisors of 10148310806400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 85 90 96 100 102 104 108 117 120 128 130 135 136 144 150 153 156 160 170 180 192 195 200 204 208 216 221 225 234 240 255 260 270 272 288 300 306 312 320 325 340 351 360 384 390 400 408 416 425 432 442 450 459 468 480 510 520 540 544 576 585 600 612 624 640 650 663 675 680 702 720 765 780 800 816 832 850 864 884 900 918 936 960 975 1020 1040 1080 1088 1105 1152 1170 1200 1224 1248 1275 1300 1326 1350 1360 1404 1440 1530 1560 1600 1632 1664 1700 1728 1755 1768 1800 1836 1872 1920 1950 1989 2040 2080 2160 2176 2210 2295 2340 2400 2448 2496 2550 2600 2652 2700 2720 2808 2880 2925 3060 3120 3200 3264 3315 3400 3456 3510 3536 3600 3672 3744 3825 3900 3978 4080 4160 4320 4420 4590 4680 4800 4896 4992 5100 5200 5304 5400 5440 5525 5616 5760 5850 5967 6120 6240 6528 6630 6800 7020 7072 7200 7344 7488 7650 7800 7956 8160 8320 8640 8775 8840 9180 9360 9600 9792 9945 10200 10400 10608 10800 10880 11050 11232 11475 11700 11934 12240 12480 13260 13600 14040 14144 14400 14688 14976 15300 15600 15912 16320 16575 17280 17550 17680 18360 18720 19584 19890 20400 20800 21216 21600 22100 22464 22950 23400 23868 24480 24960 26520 27200 28080 28288 28800 29376 29835 30600 31200 31824 32640 33150 35100 35360 36720 37440 39780 40800 41600 42432 43200 44200 44928 45900 46800 47736 48960 49725 53040 54400 56160 58752 59670 61200 62400 63648 66300 70200 70720 73440 74880 79560 81600 84864 86400 88400 91800 93600 95472 97920 99450 106080 112320 119340 122400 124800 127296 132600 140400 141440 146880 149175 159120 163200 176800 183600 187200 190944 198900 212160 224640 238680 244800 254592 265200 280800 293760 298350 318240 353600 367200 374400 381888 397800 424320 477360 489600 530400 531481 561600 596700 636480 707200 734400 763776 795600 954720 1060800 1062962 1123200 1193400 1272960 1468800 1591200 1594443 1909440 2121600 2125924 2386800 2657405 3182400 3188886 3818880 4251848 4773600 4783329 5314810 6364800 6377772 6909253 7972215 8503696 9035177 9547200 9566658 10629620 12755544 13287025 13818506 14349987 15944430 17007392 18070354 19094400 19133316 20727759 21259240 23916645 25511088 26574050 27105531 27637012 28699974 31888860 34014784 34546265 36140708 38266632 39861075 41455518 42518480 45175885 47833290 51022176 53148100 54211062 55274024 57399948 62183277 63777720 68029568 69092530 71749935 72281416 76533264 79722150 81316593 82911036 85036960 90351770 95666580 102044352 103638795 106296200 108422124 110548048 114799896 117457301 119583225 124366554 127555440 135527655 138185060 143499870 144562832 153066528 159444300 162633186 165822072 170073920 172731325 180703540 186549831 191333160 204088704 207277590 212592400 216844248 221096096 225879425 229599792 234914602 239166450 243949779 248733108 255110880 271055310 276370120 286999740 289125664 306133056 310916385 318888600 325266372 331644144 340147840 345462650 352371903 358749675 361407080 373099662 382666320 406582965 414555180 425184800 433688496 442192192 451758850 459199584 469829204 478332900 487899558 497466216 510221760 518193975 542110620 552740240 573999480 578251328 587286505 612266112 621832770 637777200 650532744 663288288 677638275 690925300 704743806 717499350 722814160 746199324 765332640 813165930 829110360 850369600 867376992 884384384 903517700 918399168 932749155 939658408 956665800 975799116 994932432 1020443520 1036387950 1057115709 1084221240 1105480480 1147998960 1156502656 1174573010 1219748895 1243665540 1275554400 1301065488 1326576576 1355276550 1381850600 1409487612 1434998700 1445628320 1492398648 1530665280 1554581925 1626331860 1658220720 1700739200 1734753984 1761859515 1807035400 1836798336 1865498310 1879316816 1913331600 1951598232 1989864864 2032914825 2072775900 2114231418 2168442480 2210960960 2295997920 2349146020 2439497790 2487331080 2551108800 2602130976 2653153152 2710553100 2763701200 2818975224 2869997400 2891256640 2936432525 2984797296 3061330560 3109163850 3171347127 3252663720 3316441440 3469507968 3523719030 3614070800 3730996620 3758633632 3826663200 3903196464 3979729728 4065829650 4145551800 4228462836 4336884960 4421921920 4591995840 4663745775 4698292040 4878995580 4974662160 5102217600 5204261952 5285578545 5421106200 5527402400 5637950448 5739994800 5782513280 5872865050 5969594592 6098744475 6218327700 6342694254 6505327440 6632882880 7047438060 7228141600 7461993240 7517267264 7653326400 7806392928 7959459456 8131659300 8291103600 8456925672 8673769920 8809297575 9183991680 9327491550 9396584080 9757991160 9949324320 10408523904 10571157090 10842212400 11054804800 11275900896 11479989600 11745730100 11939189184 12197488950 12436655400 12685388508 13010654880 13265765760 14094876120 14456283200 14923986480 15034534528 15306652800 15612785856 15856735635 16263318600 16582207200 16913851344 17347539840 17618595150 18654983100 18793168160 19515982320 19898648640 21142314180 21684424800 22109609600 22551801792 22959979200 23491460200 23878378368 24394977900 24873310800 25370777016 26021309760 26427892725 28189752240 28912566400 29847972960 31225571712 31713471270 32526637200 33164414400 33827702688 35237190300 37309966200 37586336320 39031964640 39797297280 42284628360 43368849600 45103603584 45919958400 46982920400 48789955800 49746621600 50741554032 52042619520 52855785450 56379504480 59695945920 63426942540 65053274400 66328828800 67655405376 70474380600 74619932400 75172672640 78063929280 79283678175 84569256720 86737699200 93965840800 97579911600 99493243200 101483108064 105711570900 112759008960 119391891840 126853885080 130106548800 135310810752 140948761200 149239864800 156127858560 158567356350 169138513440 187931681600 195159823200 198986486400 202966216128 211423141800 225518017920 253707770160 260213097600 281897522400 298479729600 317134712700 338277026880 375863363200 390319646400 405932432256 422846283600 507415540320 563795044800 596959459200 634269425400 676554053760 780639292800 845692567200 1014831080640 1127590089600 1268538850800 1691385134400 2029662161280 2537077701600 3382770268800 5074155403200 10148310806400
- Sum of all divisors σ(n): 42349761316800
- Sum of proper divisors (its aliquot sum) s(n): 32201450510400
- 10148310806400 is an abundant number, because the sum of its proper divisors (32201450510400) is greater than itself. Its abundance is 22053139704000
Bases of 10148310806400
- Binary: 100100111010110101100111010111101111100000002
- Hexadecimal: 0x93AD675EF80
- Base-36: 3LI2I8DC0
Squares and roots of 10148310806400
- 10148310806400 squared (101483108064002) is 102988212223295018280960000
- 10148310806400 cubed (101483108064003) is 1045156387037481403835951919366144000000
-
The
square root of 10148310806400 is 3185641.3493047205 -
The
cube root of 10148310806400 is 21650.3332989741
Scales and comparisons
How big is 10148310806400?- 10,148,310,806,400 seconds is equal to 322,684 years, 46 weeks, 3 days.
-
To count from 1 to 10,148,310,806,400 would take you about eight hundred six thousand, seven hundred twelve 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 10148310806400 cubic inches would be around 1804.2 feet tall.
Recreational maths with 10148310806400
- 10148310806400 backwards is 00460801384101
- 10148310806400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10148310806400's digits is 36
- More coming soon!
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The information we have on file for 10148310806400 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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