13122967148415040
13,122,967,148,415,040 is an even composite number composed of seven prime numbers multiplied together.
13122967148415040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 13122967148415040:
26 × 5 × 7 × 43 × 53 × 127 × 20241187
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 43 × 53 × 127 × 20241187)See below for interesting mathematical facts about the number 13122967148415040 from the Numbermatics database.
Names of 13122967148415040
- Cardinal: 13122967148415040 can be written as Thirteen quadrillion, one hundred twenty-two trillion, nine hundred sixty-seven billion, one hundred forty-eight million, four hundred fifteen thousand and forty.
Scientific notation
- Scientific notation: 1.312296714841504 × 1016
Factors of 13122967148415040
Divisors of 13122967148415040
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 53 56 64 70 80 86 106 112 127 140 160 172 212 215 224 254 265 280 301 320 344 371 424 430 448 508 530 560 602 635 688 742 848 860 889 1016 1060 1120 1204 1270 1376 1484 1505 1696 1720 1778 1855 2032 2120 2240 2279 2408 2540 2752 2968 3010 3392 3440 3556 3710 4064 4240 4445 4558 4816 5080 5461 5936 6020 6731 6880 7112 7420 8128 8480 8890 9116 9632 10160 10922 11395 11872 12040 13462 13760 14224 14840 15953 16960 17780 18232 19264 20320 21844 22790 23744 24080 26924 27305 28448 29680 31906 33655 35560 36464 38227 40640 43688 45580 47117 48160 53848 54610 56896 59360 63812 67310 71120 72928 76454 79765 87376 91160 94234 96320 107696 109220 118720 127624 134620 142240 145856 152908 159530 174752 182320 188468 191135 215392 218440 235585 255248 269240 284480 289433 305816 319060 349504 364640 376936 382270 430784 436880 471170 510496 538480 578866 611632 638120 729280 753872 764540 873760 942340 1020992 1076960 1157732 1223264 1276240 1447165 1507744 1529080 1747520 1884680 2026031 2153920 2315464 2446528 2552480 2894330 3015488 3058160 3769360 4052062 4630928 5104960 5788660 6116320 7538720 8104124 9261856 10130155 11577320 12232640 15077440 16208248 18523712 20241187 20260310 23154640 32416496 40482374 40520620 46309280 64832992 80964748 81041240 92618560 101205935 129665984 141688309 161929496 162082480 202411870 283376618 323858992 324164960 404823740 566753236 647717984 648329920 708441545 809647480 870371041 1072782911 1133506472 1295435968 1416883090 1619294960 1740742082 2145565822 2267012944 2570630749 2833766180 3238589920 3481484164 4291131644 4351855205 4534025888 5141261498 5363914555 5667532360 6092597287 6477179840 6962968328 7509480377 8582263288 8703710410 9068051776 10282522996 10727829110 11335064720 12185194574 12853153745 13925936656 15018960754 17164526576 17407420820 17994415243 20565045992 21455658220 22670129440 24370389148 25706307490 27851873312 30037921508 30462986435 34329053152 34814841640 35988830486 37547401885 41130091984 42911316440 45340258880 46129665173 48740778296 51412614980 55703746624 60075843016 60925972870 68658106304 69629683280 71977660972 75094803770 82260183968 85822632880 89972076215 92259330346 97481556592 102825229960 110537122207 120151686032 121851945740 136243429697 139259366560 143955321944 150189607540 164520367936 171645265760 179944152430 184518660692 194963113184 205650459920 221074244414 230648325865 240303372064 243703891480 272486859394 278518733120 287910643888 300379215080 322907656211 343290531520 359888304860 369037321384 389926226368 411300919840 442148488828 461296651730 480606744128 487407782960 544973718788 552685611035 575821287776 600758430160 645815312422 681217148485 719776609720 738074642768 773759855449 822601839680 884296977656 922593303460 953704007879 974815565920 1089947437576 1105371222070 1151642575552 1201516860320 1291630624844 1362434296970 1439553219440 1476149285536 1547519710898 1614538281055 1768593955312 1845186606920 1907408015758 1949631131840 2179894875152 2210742444140 2403033720640 2583261249688 2724868593940 2879106438880 2952298571072 3095039421796 3229076562110 3537187910624 3690373213840 3814816031516 3868799277245 4359789750304 4421484888280 4768520039395 5166522499376 5449737187880 5758212877760 5858467476971 6190078843592 6458153124220 7074375821248 7380746427680 7629632063032 7737598554490 8719579500608 8842969776560 9537040078790 10333044998752 10899474375760 11716934953942 12380157687184 12916306248440 14761492855360 15259264126064 15475197108980 17685939553120 19074080157580 20666089997504 21798948751520 23433869907884 24760315374368 25832612496880 29292337384855 30518528252128 30950394217960 35371879106240 38148160315160 41009272338797 43597897503040 46867739815768 49520630748736 51665224993760 58584674769710 61037056504256 61900788435920 76296320630320 82018544677594 93735479631536 103330449987520 117169349539420 123801576871840 152592641260640 164037089355188 187470959263072 205046361693985 234338699078840 247603153743680 305185282521280 328074178710376 374941918526144 410092723387970 468677398157680 656148357420752 820185446775940 937354796315360 1312296714841504 1640370893551880 1874709592630720 2624593429683008 3280741787103760 6561483574207520 13122967148415040
- Sum of all divisors σ(n): 37526439698694144
- Sum of proper divisors (its aliquot sum) s(n): 24403472550279104
- 13122967148415040 is an abundant number, because the sum of its proper divisors (24403472550279104) is greater than itself. Its abundance is 11280505401864064
Bases of 13122967148415040
- Binary: 1011101001111101000100111000110100011111001000010000002
- Hexadecimal: 0x2E9F44E347C840
- Base-36: 3L7PBVR7134
Squares and roots of 13122967148415040
- 13122967148415040 squared (131229671484150402) is 172212266778380366474384098201600
- 13122967148415040 cubed (131229671484150403) is 2259935919486772325095242091534731057154392064000
-
The
square root of 13122967148415040 is 114555519.9386526287 -
The
cube root of 13122967148415040 is 235872.5201372751
Scales and comparisons
How big is 13122967148415040?- 13,122,967,148,415,040 seconds is equal to 417,269,763 years, 16 weeks, 3 days, 9 hours, 30 minutes, 40 seconds.
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To count from 1 to 13,122,967,148,415,040 would take you about one billion, two hundred fifty-one million, eight hundred nine thousand, two hundred eighty-nine 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 13122967148415040 cubic inches would be around 19656 feet tall.
Recreational maths with 13122967148415040
- 13122967148415040 backwards is 04051484176922131
- The number of decimal digits it has is: 17
- The sum of 13122967148415040's digits is 58
- More coming soon!
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