10072527401664
10,072,527,401,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 10072527401664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
10072527401664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 10072527401664:
26 × 311 × 7 × 132 × 751
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 751)See below for interesting mathematical facts about the number 10072527401664 from the Numbermatics database.
Names of 10072527401664
- Cardinal: 10072527401664 can be written as Ten trillion, seventy-two billion, five hundred twenty-seven million, four hundred one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.0072527401664 × 1013
Factors of 10072527401664
Divisors of 10072527401664
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 144 156 162 168 169 182 189 192 208 216 224 234 243 252 273 288 312 324 336 338 351 364 378 416 432 448 468 486 504 507 546 567 576 624 648 672 676 702 728 729 751 756 819 832 864 936 972 1008 1014 1053 1092 1134 1183 1248 1296 1344 1352 1404 1456 1458 1502 1512 1521 1638 1701 1728 1872 1944 2016 2028 2106 2184 2187 2253 2268 2366 2457 2496 2592 2704 2808 2912 2916 3004 3024 3042 3159 3276 3402 3549 3744 3888 4032 4056 4212 4368 4374 4506 4536 4563 4732 4914 5103 5184 5257 5408 5616 5824 5832 6008 6048 6084 6318 6552 6561 6759 6804 7098 7371 7488 7776 8112 8424 8736 8748 9012 9072 9126 9464 9477 9763 9828 10206 10514 10647 10816 11232 11664 12016 12096 12168 12636 13104 13122 13518 13608 13689 14196 14742 15309 15552 15771 16224 16848 17472 17496 18024 18144 18252 18928 18954 19526 19656 19683 20277 20412 21028 21294 22113 22464 23328 24032 24336 25272 26208 26244 27036 27216 27378 28392 28431 29289 29484 30618 31542 31941 32448 33696 34992 36048 36288 36504 37856 37908 39052 39312 39366 40554 40824 41067 42056 42588 44226 45927 46656 47313 48064 48672 50544 52416 52488 54072 54432 54756 56784 56862 58578 58968 59049 60831 61236 63084 63882 66339 67392 68341 69984 72096 73008 75712 75816 78104 78624 78732 81108 81648 82134 84112 85176 85293 87867 88452 91854 94626 95823 97344 101088 104976 108144 108864 109512 113568 113724 117156 117936 118098 121662 122472 123201 126168 126919 127764 132678 136682 137781 139968 141939 144192 146016 151632 156208 157248 157464 162216 163296 164268 168224 170352 170586 175734 176904 177147 182493 183708 189252 191646 199017 202176 205023 209952 216288 219024 227136 227448 234312 235872 236196 243324 244944 246402 252336 253838 255528 255879 263601 265356 273364 275562 283878 287469 292032 303264 312416 314928 324432 326592 328536 336448 340704 341172 351468 353808 354294 364986 367416 369603 378504 380757 383292 398034 410046 413343 419904 425817 432576 438048 454896 468624 471744 472392 486648 489888 492804 504672 507676 511056 511758 527202 530712 546728 547479 551124 567756 574938 597051 606528 615069 624832 629856 648864 657072 681408 682344 702936 707616 708588 729972 734832 739206 757008 761514 766584 767637 790803 796068 820092 826686 851634 862407 876096 888433 909792 937248 944784 973296 979776 985608 1009344 1015352 1022112 1023516 1054404 1061424 1093456 1094958 1102248 1108809 1135512 1142271 1149876 1194102 1230138 1240029 1259712 1277451 1297728 1314144 1364688 1405872 1415232 1417176 1459944 1469664 1478412 1514016 1523028 1533168 1535274 1581606 1592136 1640184 1642437 1653372 1703268 1724814 1776866 1791153 1819584 1845207 1874496 1889568 1946592 1971216 2030704 2044224 2047032 2108808 2122848 2186912 2189916 2204496 2217618 2271024 2284542 2299752 2302911 2372409 2388204 2460276 2480058 2554902 2587221 2628288 2665299 2729376 2811744 2834352 2919888 2939328 2956824 3028032 3046056 3066336 3070548 3163212 3184272 3280368 3284874 3306744 3326427 3406536 3426813 3449628 3553732 3582306 3690414 3779136 3832353 3893184 3942432 4061408 4094064 4217616 4245696 4373824 4379832 4408992 4435236 4542048 4569084 4599504 4605822 4744818 4776408 4920552 4927311 4960116 5109804 5174442 5330598 5373459 5458752 5535621 5623488 5668704 5839776 5913648 6092112 6132672 6141096 6326424 6368544 6560736 6569748 6613488 6652854 6813072 6853626 6899256 7107464 7117227 7164612 7380828 7664706 7761663 7884864 7995897 8122816 8188128 8435232 8759664 8817984 8870472 9084096 9138168 9199008 9211644 9489636 9552816 9841104 9854622 9920232 9979281 10219608 10280439 10348884 10661196 10746918 11071242 11337408 11497059 11679552 11827296 12184224 12282192 12652848 12737088 13121472 13139496 13226976 13305708 13626144 13707252 13798512 14214928 14234454 14329224 14761656 14781933 15329412 15523326 15991794 16120377 16376256 16606863 16870464 17519328 17740944 18276336 18398016 18423288 18979272 19105632 19682208 19709244 19840464 19958562 20439216 20560878 20697768 21322392 21351681 21493836 22142484 22994118 23284989 23654592 23987691 24368448 24564384 25305696 26278992 26453952 26611416 27252288 27414504 27597024 28429856 28468908 28658448 29523312 29563866 29937843 30658824 30841317 31046652 31983588 32240754 33213726 34491177 35038656 35481888 36552672 36846576 37958544 38211264 39364416 39418488 39680928 39917124 40878432 41121756 41395536 42644784 42703362 42987672 44284968 44345799 45988236 46569978 47975382 49128768 49820589 50611392 52557984 53222832 54829008 55194048 56859712 56937816 57316896 59046624 59127732 59875686 61317648 61682634 62093304 63967176 64055043 64481508 66427452 68982354 69854967 70963776 71963073 73105344 73693152 75917088 78836976 79361856 79834248 81756864 82243512 82791072 85289568 85406724 85975344 88569936 88691598 91976472 92523951 93139956 95950764 99641178 103473531 105115968 106445664 109658016 113875632 114633792 118093248 118255464 119751372 122635296 123365268 124186608 127934352 128110086 128963016 132854904 133037397 137964708 139709934 143926146 147386304 149461767 151834176 157673952 159668496 164487024 165582144 170579136 170813448 171950688 177139872 177383196 183952944 185047902 186279912 191901528 192165129 199282356 206947062 209564901 212891328 215889219 219316032 227751264 236510928 239502744 245270592 246730536 248373216 255868704 256220172 257926032 265709808 266074794 275929416 277571853 279419868 287852292 298923534 310420593 315347904 319336992 328974048 341626896 343901376 354279744 354766392 367905888 370095804 372559824 383803056 384330258 398564712 413894124 419129802 431778438 448385301 455502528 473021856 479005488 493461072 496746432 511737408 512440344 515852064 531419616 532149588 551858832 555143706 558839736 575704584 576495387 597847068 620841186 638673984 647667657 657948096 683253792 709532784 735811776 740191608 745119648 767606112 768660516 797129424 827788248 832715559 838259604 863556876 896770602 931261779 946043712 958010976 986922144 1024880688 1031704128 1062839232 1064299176 1103717664 1110287412 1117679472 1151409168 1152990774 1195694136 1241682372 1295335314 1345155903 1366507584 1419065568 1480383216 1490239296 1535212224 1537321032 1594258848 1655576496 1665431118 1676519208 1727113752 1729486161 1793541204 1862523558 1916021952 1943002971 1973844288 2049761376 2128598352 2207435328 2220574824 2235358944 2302818336 2305981548 2391388272 2483364744 2498146677 2590670628 2690311806 2838131136 2960766432 3074642064 3188517696 3311152992 3330862236 3353038416 3454227504 3458972322 3587082408 3725047116 3886005942 4035467709 4099522752 4257196704 4441149648 4470717888 4605636672 4611963096 4782776544 4966729488 4996293354 5181341256 5380623612 5829008913 5921532864 6149284128 6622305984 6661724472 6706076832 6908455008 6917944644 7174164816 7450094232 7494440031 7772011884 8070935418 8514393408 8882299296 9223926192 9565553088 9933458976 9992586708 10362682512 10761247224 11658017826 12106403127 12298568256 13323448944 13412153664 13816910016 13835889288 14348329632 14900188464 14988880062 15544023768 16141870836 17487026739 17764598592 18447852384 19866917952 19985173416 20725365024 21522494448 22483320093 23316035652 24212806254 26646897888 27671778576 28696659264 29800376928 29977760124 31088047536 32283741672 34974053478 36895704768 39970346832 41450730048 43044988896 44966640186 46632071304 48425612508 52461080217 53293795776 55343557152 59600753856 59955520248 62176095072 64567483344 69948106956 79940693664 86089977792 89933280372 93264142608 96851225016 104922160434 110687114304 119911040496 124352190144 129134966688 139896213912 157383240651 159881387328 179866560744 186528285216 193702450032 209844320868 239822080992 258269933376 279792427824 314766481302 359733121488 373056570432 387404900064 419688641736 479644161984 559584855648 629532962604 719466242976 774809800128 839377283472 1119169711296 1259065925208 1438932485952 1678754566944 2518131850416 3357509133888 5036263700832 10072527401664
- Sum of all divisors σ(n): 37152400696320
- Sum of proper divisors (its aliquot sum) s(n): 27079873294656
- 10072527401664 is an abundant number, because the sum of its proper divisors (27079873294656) is greater than itself. Its abundance is 17007345892992
Bases of 10072527401664
- Binary: 100100101001001100010110101011110010110000002
- Hexadecimal: 0x929316AF2C0
- Base-36: 3KJ96R000
Squares and roots of 10072527401664
- 10072527401664 squared (100725274016642) is 101455808257272131189968896
- 10072527401664 cubed (100725274016643) is 1021916408729342255607457136407858642944
-
The
square root of 10072527401664 is 3173724.5314715013 -
The
cube root of 10072527401664 is 21596.3066685223
Scales and comparisons
How big is 10072527401664?- 10,072,527,401,664 seconds is equal to 320,275 years, 11 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 10,072,527,401,664 would take you about eight hundred thousand, six hundred eighty-eight 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 10072527401664 cubic inches would be around 1799.7 feet tall.
Recreational maths with 10072527401664
- 10072527401664 backwards is 46610472527001
- The number of decimal digits it has is: 14
- The sum of 10072527401664's digits is 45
- More coming soon!
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The information we have on file for 10072527401664 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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