97973470984480
97,973,470,984,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 97973470984480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
97973470984480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 97973470984480:
25 × 5 × 72 × 13 × 233 × 412 × 47
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 23 × 23 × 23 × 41 × 41 × 47)See below for interesting mathematical facts about the number 97973470984480 from the Numbermatics database.
Names of 97973470984480
- Cardinal: 97973470984480 can be written as Ninety-seven trillion, nine hundred seventy-three billion, four hundred seventy million, nine hundred eighty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.797347098448 × 1013
Factors of 97973470984480
Divisors of 97973470984480
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 26 28 32 35 40 41 46 47 49 52 56 65 70 80 82 91 92 94 98 104 112 115 130 140 160 161 164 182 184 188 196 205 208 224 230 235 245 260 280 287 299 322 328 329 364 368 376 392 410 416 455 460 470 490 520 529 533 560 574 598 611 637 644 656 658 728 736 752 784 805 820 910 920 940 943 980 1040 1058 1066 1081 1120 1127 1148 1196 1222 1274 1288 1312 1316 1435 1456 1495 1504 1568 1610 1640 1645 1681 1820 1840 1880 1886 1927 1960 2009 2080 2093 2116 2132 2162 2254 2296 2303 2392 2444 2548 2576 2632 2645 2665 2870 2912 2990 3055 3185 3220 3280 3290 3362 3640 3680 3703 3731 3760 3772 3854 3920 4018 4186 4232 4264 4277 4324 4508 4592 4606 4715 4784 4888 5096 5152 5264 5290 5330 5405 5635 5740 5980 6110 6370 6440 6560 6580 6601 6724 6877 7280 7406 7462 7520 7544 7567 7708 7840 8036 8372 8405 8464 8528 8554 8648 9016 9184 9212 9430 9568 9635 9776 10045 10192 10465 10528 10580 10660 10810 11270 11480 11515 11767 11960 12167 12220 12259 12740 12880 13160 13202 13448 13489 13754 14053 14560 14651 14812 14924 15088 15134 15416 16072 16744 16810 16928 17056 17108 17296 18032 18424 18515 18655 18860 19270 19552 20090 20384 20930 21160 21320 21385 21620 21689 21853 22540 22960 23030 23534 23920 24334 24440 24518 24863 25051 25480 25760 25921 26117 26320 26404 26896 26978 27508 28106 29302 29624 29848 29939 30176 30268 30832 32144 33005 33488 33620 34216 34385 34592 36064 36848 37030 37310 37720 37835 38540 38663 40180 41860 42320 42640 42770 43240 43378 43706 44321 45080 45920 46060 46207 47068 47840 48139 48668 48880 49036 49726 50102 50960 51842 52234 52640 52808 52969 53792 53956 55016 56212 58604 58835 59248 59696 59878 60536 60835 61295 61664 64288 66010 66976 67240 67445 68432 68770 70265 73255 73696 74060 74620 75440 75670 77080 77326 79007 80360 82369 83720 84640 85169 85280 85540 85813 86480 86756 87412 88642 90160 92120 92414 94136 94423 96278 97336 97760 98072 98371 99452 100204 101920 103684 104468 105616 105938 107912 108445 109265 110032 112424 117208 117670 118496 119392 119756 121072 121670 122590 124315 125255 129605 130585 132020 134480 134890 136864 137540 140530 146510 148120 149240 149695 150880 151340 151823 152971 154160 154652 158014 158171 160720 164738 167440 170338 171080 171626 172960 173512 174041 174824 175357 177284 180320 184240 184828 188272 188846 192556 193315 194672 196144 196742 198904 200408 207368 208936 211232 211876 215824 216890 218530 220064 221605 224848 231035 234416 235340 239512 240695 242144 243340 245180 248630 250510 259210 261170 264040 264845 268960 269780 270641 275080 281060 281957 293020 296240 298480 299390 302680 303646 305942 308320 309304 310247 316028 316342 321440 323219 329476 334880 336973 340676 342160 343252 347024 348082 349648 350714 354568 368480 369656 376544 377692 385112 386630 389344 392288 393484 395035 397808 400816 411845 414736 417872 423752 425845 429065 431648 433780 437060 443210 449696 462070 468832 470680 472115 479024 481390 486680 490360 491855 497260 498847 501020 502619 518420 522340 528080 529690 539560 541282 550160 553049 562120 563914 571849 576173 586040 592480 596183 596960 598780 600691 605360 607292 611884 618608 620494 632056 632684 646438 658952 673946 681352 684320 686504 688597 694048 696164 699296 701428 709136 739312 755384 759115 764855 770224 773260 786968 790070 790855 795616 801632 823690 829472 835744 847504 851690 858130 867560 870205 874120 876785 886420 889249 924140 941360 944230 958048 962780 973360 980720 983710 994520 997694 1002040 1005238 1019383 1027091 1036840 1044680 1056160 1059380 1062761 1070797 1079120 1082564 1100320 1106098 1107197 1124240 1127828 1143698 1152346 1172080 1192366 1197560 1201382 1210720 1214584 1218287 1223768 1227499 1237216 1240988 1264112 1265368 1292876 1317904 1347892 1353205 1362704 1373008 1377194 1392328 1402856 1409785 1418272 1478624 1510768 1518230 1529710 1540448 1546520 1551235 1573936 1580140 1581710 1616095 1647380 1684865 1695008 1703380 1716260 1735120 1740410 1748240 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259400440 260191295 265039580 265885451 276317860 279354320 280206010 281466640 282324770 285427240 286338178 287585480 290745760 292562921 297361480 303117920 304795517 309707440 310015160 315791840 316754620 317765539 320235440 322656880 323686636 327243632 328241326 330723302 334357624 347476640 348585608 356163556 362005280 363160616 364267813 369927584 371055412 375132944 377969488 391096048 394053296 399598136 402619672 404608295 407044064 409054540 416306072 417947030 424063328 435732010 442108576 445204445 448329616 451719632 453950770 462409480 463819265 468916180 472461860 488870060 492566620 497979440 499497670 503274590 506807392 508805080 518800880 520382590 530079160 531770902 543331139 552635720 558708640 560412020 562933280 564649540 566451613 570854480 572676356 575170960 585125842 594722960 609591034 619414880 620030320 633509240 635531078 640470880 645313760 647373272 649346971 654487264 656482652 661446604 668715248 697171216 712327112 715845445 726321232 728535626 742110824 750265888 755938976 782192096 788106592 799196272 805239344 809216590 818109080 820603315 826808255 832612144 835894060 871464020 890408890 896659232 903439264 907901540 924818960 927638530 937832360 944923720 961278169 977740120 985133240 995958880 998995340 1002183623 1006549180 1017610160 1037601760 1040765180 1060158320 1063541804 1086662278 1105271440 1120824040 1129299080 1132903226 1141708960 1145352712 1148844641 1150341920 1157531557 1170251684 1189445920 1219182068 1240060640 1267018480 1271062156 1294746544 1298693942 1312965304 1322893208 1329427255 1337430496 1394342432 1424654224 1431690890 1452642464 1457071252 1462814605 1484221648 1523977585 1588827695 1598392544 1610478688 1618433180 1636218160 1641206630 1653616510 1665224288 1671788120 1742928040 1780817780 1815803080 1821339065 1849637920 1855277060 1861198157 1875664720 1889847440 1922556338 1955480240 1970266480 1997990680 2004367246 2013098360 2035220320 2047940447 2081530360 2120316640 2127083608 2133568619 2173324556 2210542880 2241648080 2258598160 2265806452 2290705424 2297689282 2315063114 2340503368 2438364136 2534036960 2542124312 2589493088 2597387884 2625930608 2645786416 2658854510 2716655695 2832258065 2849308448 2863381780 2914142504 2925629210 2968443296 3047955170 3177655390 3236866360 3246734855 3272436320 3282413260 3307233020 3343576240 3485856080 3561635560 3631606160 3642678130 3710554120 3722396314 3751329440 3779694880 3803317973 3845112676 3910960480 3940532960 3995981360 4008734492 4026196720 4095880894 4163060720 4254167216 4267137238 4346649112 4483296160 4517196320 4531612904 4581410848 4595378564 4630126228 4681006736 4806390845 4876728272 5010918115 5084248624 5194775768 5251861216 5291572832 5317709020 5433311390 5664516130 5726763560 5744223205 5787657785 5828285008 5851258420 6095910340 6355310780 6473732720 6493469710 6564826520 6614466040 6687152480 6728947183 6971712160 7123271120 7263212320 7285356260 7421108240 7444792628 7606635946 7690225352 7991962720 8017468984 8052393440 8191761788 8326121440 8508334432 8534274476 8693298224 9063225808 9190757128 9260252456 9305990785 9362013472 9612781690 9753456544 10021836230 10168497248 10239702235 10389551536 10635418040 10667843095 10866622780 11329032260 11453527120 11488446410 11575315570 11656570016 11702516840 12191820680 12496616197 12710621560 12947465440 12986939420 13028387099 13129653040 13228932080 13457894366 14246542240 14570712520 14842216480 14889585256 14934980333 15213271892 15380450704 16034937968 16383523576 17068548952 17386596448 18126451616 18381514256 18520504912 18611981570 19016589865 19225563380 20043672460 20479404470 20779103072 21270836080 21335686190 21733245560 22658064520 22907054240 22976892820 23150631140 23405033680 24383641360 24993232394 25421243120 25973878840 26056774198 26259306080 26457864160 26623225811 26915788732 29141425040 29779170512 29869960666 30426543784 30760901408 32069875936 32767047152 33644735915 34137097904 36763028512 37041009824 37223963140 38033179730 38451126760 40087344920 40958808940 42541672160 42671372380 43466491120 45316129040 45953785640 46301262280 46810067360 47102630281 48767282720 49986464788 50842486240 51947757680 52113548396 53246451622 53831577464 58282850080 59558341024 59739921332 60853087568 62483080985 65141935495 65534094304 67289471830 68274195808 74447926280 74674901665 76066359460 76902253520 80174689840 81917617880 85342744760 86932982240 87476313379 90632258080 91907571280 92602524560 94205260562 99972929576 103895515360 104227096792 106492903244 107663154928 119479842664 121706175136 124966161970 130283870990 133116129055 134578943660 148895852560 149349803330 152132718920 153804507040 160349379680 163835235760 170685489520 174952626758 183815142560 185205049120 188410521124 199945859152 208454193584 212985806488 215326309856 235513151405 238959685328 249932323940 260567741980 266232258110 269157887320 297791705120 298699606660 304265437840 327670471520 341370979040 349905253516 376821042248 399891718304 416908387168 425971612976 437381566895 471026302810 477919370656 499864647880 521135483960 532464516220 538315774640 597399213320 608530875680 612334193653 699810507032 753642084496 851943225952 874763133790 942052605620 999729295760 1042270967920 1064929032440 1076631549280 1194798426640 1224668387306 1399621014064 1507284168992 1749526267580 1884105211240 1999458591520 2084541935840 2129858064880 2389596853280 2449336774612 2799242028128 3061670968265 3499052535160 3768210422480 4259716129760 4898673549224 6123341936530 6998105070320 7536420844960 9797347098448 12246683873060 13996210140640 19594694196896 24493367746120 48986735492240 97973470984480
- Sum of all divisors σ(n): 317327943582720
- Sum of proper divisors (its aliquot sum) s(n): 219354472598240
- 97973470984480 is an abundant number, because the sum of its proper divisors (219354472598240) is greater than itself. Its abundance is 121381001613760
Bases of 97973470984480
- Binary: 101100100011011001110011110111101111001001000002
- Hexadecimal: 0x591B39EF7920
- Base-36: YQ8E30V8G
Squares and roots of 97973470984480
- 97973470984480 squared (979734709844802) is 9598801016746744460400870400
- 97973470984480 cubed (979734709844803) is 940427852900034290955585850483736891392000
-
The
square root of 97973470984480 is 9898154.9282924443 -
The
cube root of 97973470984480 is 46100.2023296237
Scales and comparisons
How big is 97973470984480?- 97,973,470,984,480 seconds is equal to 3,115,253 years, 16 weeks, 6 days, 11 hours, 14 minutes, 40 seconds.
-
To count from 1 to 97,973,470,984,480 would take you about seven million, seven hundred eighty-eight thousand, one hundred thirty-three 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 97973470984480 cubic inches would be around 3841.7 feet tall.
Recreational maths with 97973470984480
- 97973470984480 backwards is 08448907437979
- The number of decimal digits it has is: 14
- The sum of 97973470984480's digits is 79
- More coming soon!
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"Number 97973470984480 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 97973470984480 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/97973470984480/
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The information we have on file for 97973470984480 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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