97842745311948
97,842,745,311,948 is an even composite number composed of six prime numbers multiplied together.
97842745311948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 97842745311948:
22 × 35 × 73 × 133 × 312 × 139
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 13 × 31 × 31 × 139)See below for interesting mathematical facts about the number 97842745311948 from the Numbermatics database.
Names of 97842745311948
- Cardinal: 97842745311948 can be written as Ninety-seven trillion, eight hundred forty-two billion, seven hundred forty-five million, three hundred eleven thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 9.7842745311948 × 1013
Factors of 97842745311948
Divisors of 97842745311948
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 49 52 54 62 63 78 81 84 91 93 98 108 117 124 126 139 147 156 162 169 182 186 189 196 217 234 243 252 273 278 279 294 324 338 343 351 364 372 378 403 417 434 441 468 486 507 546 556 558 567 588 637 651 676 686 702 756 806 819 834 837 868 882 961 972 973 1014 1029 1053 1092 1116 1134 1183 1209 1251 1274 1302 1323 1372 1404 1519 1521 1612 1638 1668 1674 1701 1764 1807 1911 1922 1946 1953 2028 2058 2106 2197 2268 2366 2418 2457 2502 2511 2548 2604 2646 2821 2883 2919 3038 3042 3087 3159 3276 3348 3402 3549 3614 3627 3753 3822 3844 3892 3906 3969 4116 4212 4309 4394 4459 4557 4563 4732 4836 4914 5004 5022 5239 5292 5421 5642 5733 5766 5838 5859 6076 6084 6174 6318 6591 6727 6804 6811 7098 7228 7254 7371 7506 7533 7644 7812 7938 8281 8463 8618 8649 8757 8788 8918 9114 9126 9261 9828 10044 10478 10633 10647 10842 10881 11259 11284 11466 11532 11676 11718 11907 12348 12493 12636 12649 12927 13182 13377 13454 13622 13671 13689 14196 14508 14742 15012 15066 15379 15717 15876 16263 16562 16926 17199 17236 17298 17514 17577 17836 18228 18252 18522 19747 19773 20181 20433 20956 21266 21294 21684 21762 22113 22518 22932 23436 23491 23814 24843 24986 25298 25389 25854 25947 26271 26364 26754 26908 27244 27342 27378 27783 29484 30132 30163 30758 31434 31899 31941 32526 32643 33124 33777 33852 34398 34596 35028 35154 36673 37044 37479 37947 38781 39494 39546 40131 40362 40866 41013 41067 42532 42588 43524 44226 45036 46137 46982 47089 47151 47628 47677 48789 49686 49972 50596 50778 51597 51708 51894 52542 52731 53508 54684 54756 55566 56017 57967 59241 59319 60326 60543 61299 61516 62868 63798 63882 65052 65286 67554 68107 68796 70308 70473 73346 74529 74958 75894 76167 77562 77841 78813 78988 79092 80262 80724 81732 82026 82134 83349 87451 88452 88543 90489 92274 93964 94178 94302 95354 95697 95823 97578 97929 99372 101556 103194 103788 105084 105462 107653 110019 111132 112034 112437 113841 115934 116343 118482 118638 120393 120652 121086 122598 123039 127596 127764 130572 133579 135108 136214 138229 138411 140946 141267 141453 143031 146367 146692 149058 149916 151788 152334 154791 155124 155682 157626 160524 162409 164052 164268 164437 166698 168051 173901 174902 177086 177723 177957 180978 181629 183897 184548 188356 188604 190708 191394 191646 195156 195858 204321 206388 210924 211141 211419 215306 220038 223587 224068 224874 227682 228501 231868 232686 233523 236439 236964 237276 240786 242172 245196 246078 256711 262353 265629 267158 271467 272428 276458 276822 281892 282534 282906 286062 287091 287469 292734 298116 304668 305383 309582 311364 315252 322959 324818 328874 329623 330057 333396 336102 337311 341523 347802 349029 349804 354172 355446 355914 361179 361956 363258 367794 369117 382788 383292 391716 392119 400737 408642 414687 415233 422282 422838 423801 424359 429093 430612 439101 440076 447174 449748 455364 457002 465372 467046 472878 476749 481572 487227 492156 493311 504153 513422 521703 524706 531258 533169 533871 534316 542934 544887 551691 552916 553644 565068 565812 572124 574182 574938 585468 610766 612157 612963 619164 619801 633423 634257 645918 649636 657748 659246 660114 670761 672204 674622 683046 685503 695604 698058 710892 711828 722358 726516 728221 735588 738234 753571 770133 784238 787059 796887 801474 814401 817284 829374 830466 844564 845676 847602 848718 858186 861273 878202 894348 914004 916149 934092 935053 945756 953498 968877 974454 986622 988869 990171 1008306 1011933 1024569 1026844 1043406 1047087 1049412 1062516 1066338 1067742 1083537 1085868 1089774 1103382 1136863 1148364 1149876 1151059 1176357 1202211 1221532 1224314 1225926 1239602 1244061 1245699 1266846 1268514 1271403 1273077 1287279 1291836 1318492 1320228 1341522 1349244 1366092 1371006 1396116 1430247 1444716 1456442 1461681 1476468 1477987 1479933 1507142 1512459 1540266 1565109 1568476 1574118 1593774 1599507 1602948 1628802 1634661 1655073 1658748 1660932 1695204 1697436 1716372 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1957951359 1969221618 2005426332 2052200124 2054311441 2075093748 2077825932 2082558114 2120700204 2172545193 2212335398 2248018227 2297425221 2300450139 2382515044 2385651996 2394233478 2424130254 2438083908 2474150238 2477407842 2522955708 2578405284 2610601812 2641257567 2667977676 2783260662 2793272391 2828151963 2844431226 2890309149 2896726924 2953832427 2997357636 3008139498 3063233628 3067266852 3112640622 3181050306 3243800196 3247137439 3318503097 3521676756 3573772566 3578477994 3591350217 3636195381 3657125862 3711225357 3724363188 3770869284 3784433562 3853745532 3867607926 3915902718 3938443236 4108622882 4165116228 4174890993 4266646839 4345090386 4424670796 4496036454 4512209247 4594850442 4600900278 4668960933 4788466956 4848260508 4948300476 4954815684 5282515134 5360658849 5367716991 5485688793 5566521324 5586544782 5656303926 5676650343 5688862452 5780618298 5907664854 6016278996 6162934323 6225281244 6362100612 6494274878 6517635579 6637006194 6744054681 6892275663 7147545132 7156955988 7182700434 7272390762 7314251724 7422450714 7568867124 7735215852 7743173893 7831805436 7923772701 8217245764 8349781986 8379817173 8484455889 8533293678 8670927447 8690180772 8992072908 9024418494 9189700884 9201800556 9337921866 9741412317 9955509291 10565030268 10721317698 10735433982 10971377586 11133676071 11173089564 11312607852 11353300686 11561236596 11815329708 12325868646 12524672979 12799940517 12988549756 13035271158 13274012388 13488109362 13536627741 13784551326 14365400868 14380180087 14544781524 14844901428 15486347786 15847545402 16081976547 16103150973 16699563972 16759634346 16968911778 17066587356 17341854894 18048836988 18488802969 18675843732 19482824634 19552906737 19911018582 20232164043 20676826989 21442635396 21470867964 21942755172 22267352142 22706601372 23229521679 23771318103 24651737292 25049345958 25139451519 25453367667 25599881034 26070542316 26976218724 27073255482 27569102652 28760360174 29224236951 29866527873 30972695572 31695090804 32163953094 32206301946 33519268692 33937823556 34683709788 36977605938 37574018937 38399821551 38965649268 39105813474 39822037164 40464328086 41353653978 43140540261 44534704284 46459043358 47542636206 48245929641 50098691916 50278903038 50906735334 51199762068 54146510964 55466408907 57520720348 58448473902 58658720211 59733055746 60696492129 64327906188 64412603892 69688565037 71313954309 73955211876 75148037874 76799643102 78211626948 80928656172 82707307956 86281080522 87672710853 89599583619 92918086716 95085272412 96491859282 100557806076 100661260609 101813470668 110932817814 112722056811 116896947804 117317440422 119466111492 121392984258 129421620783 139377130074 142627908618 144737788923 150296075748 153599286204 166399226721 172562161044 175345421706 175976160633 179199167238 192983718564 201322521218 209065695111 221865635628 225444113622 234634880844 242785968516 258843241566 263018132559 268798750857 278754260148 285255817236 289475577846 301983781827 332798453442 350690843412 351952321266 358398334476 388264862349 402645042436 418131390222 450888227244 499197680163 517686483132 526036265118 537597501714 578951155692 603967563654 627197085333 665596906884 703904642532 776529724698 789054397677 836262780444 905951345481 998395360326 1052072530236 1075195003428 1164794587047 1207935127308 1254394170666 1553059449396 1578108795354 1811902690962 1881591255999 1996790720652 2329589174094 2508788341332 2717854036443 3156217590708 3494383761141 3623805381924 3763182511998 4659178348188 5435708072886 6988767522282 7526365023996 8153562109329 10871416145772 13977535044564 16307124218658 24460686327987 32614248437316 48921372655974 97842745311948
- Sum of all divisors σ(n): 337220257920000
- Sum of proper divisors (its aliquot sum) s(n): 239377512608052
- 97842745311948 is an abundant number, because the sum of its proper divisors (239377512608052) is greater than itself. Its abundance is 141534767296104
Bases of 97842745311948
- Binary: 101100011111100110010100001010000000010110011002
- Hexadecimal: 0x58FCCA1402CC
- Base-36: YOKC4C0R0
Squares and roots of 97842745311948
- 97842745311948 squared (978427453119482) is 9573202810178722331831554704
- 97842745311948 cubed (978427453119483) is 936668444375941603768832263827212306803392
-
The
square root of 97842745311948 is 9891549.1866516035 -
The
cube root of 97842745311948 is 46079.6894218875
Scales and comparisons
How big is 97842745311948?- 97,842,745,311,948 seconds is equal to 3,111,096 years, 33 weeks, 6 days, 20 hours, 25 minutes, 48 seconds.
-
To count from 1 to 97,842,745,311,948 would take you about seven million, seven hundred seventy-seven thousand, seven hundred forty-one 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 97842745311948 cubic inches would be around 3840 feet tall.
Recreational maths with 97842745311948
- 97842745311948 backwards is 84911354724879
- The number of decimal digits it has is: 14
- The sum of 97842745311948's digits is 72
- More coming soon!
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"Number 97842745311948 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 97842745311948 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/97842745311948/
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The information we have on file for 97842745311948 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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