100097948375040

Names of 100097948375040

• Cardinal: 100097948375040 can be written as One hundred trillion, ninety-seven billion, nine hundred forty-eight million, three hundred seventy-five thousand and forty.

Scientific notation

• Scientific notation: 1.0009794837504 × 10¹⁴

Factors of 100097948375040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 863637

Divisors of 100097948375040

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 49 55 56 60 64 66 70 77 80 84 88 96 98 105 110 112 120 128 132 140 147 154 160 165 168 176 192 196 210 220 224 231 240 245 256 264 280 294 308 320 330 336 343 352 384 385 392 420 440 448 462 480 490 512 528 539 560 588 616 640 660 672 686 704 735 768 770 784 840 880 896 924 960 980 1024 1029 1056 1078 1120 1155 1176 1232 1280 1320 1344 1372 1408 1470 1536 1540 1568 1617 1680 1715 1760 1792 1848 1920 1960 2048 2058 2112 2156 2240 2310 2352 2464 2560 2640 2688 2695 2744 2816 2940 3072 3080 3136 3234 3360 3430 3520 3584 3696 3773 3840 3920 4116 4224 4312 4480 4620 4704 4928 5120 5145 5280 5376 5390 5488 5632 5880 6144 6160 6272 6468 6720 6860 7040 7168 7392 7546 7680 7840 8085 8232 8448 8624 8960 9240 9408 9856 10240 10290 10560 10752 10780 10976 11264 11319 11760 12320 12544 12936 13440 13720 14080 14336 14784 15092 15360 15680 16170 16464 16896 17248 17920 18480 18816 18865 19712 20580 21120 21504 21560 21952 22528 22638 23520 24640 25088 25872 26880 27440 28160 29568 30184 30720 31360 32340 32928 33792 34496 35840 36960 37632 37730 39424 41160 42240 43008 43120 43904 45276 47040 49280 50176 51744 53760 54880 56320 56595 59136 60368 62720 64680 65856 67584 68992 71680 73920 75264 75460 78848 82320 84480 86240 87808 90552 94080 98560 100352 103488 107520 109760 112640 113190 118272 120736 125440 129360 131712 137984 147840 150528 150920 157696 164640 168960 172480 175616 181104 188160 197120 206976 215040 219520 226380 236544 241472 250880 258720 263424 275968 295680 301056 301840 329280 337920 344960 351232 362208 376320 394240 413952 439040 452760 473088 482944 501760 517440 526848 551936 591360 603680 658560 689920 702464 724416 752640 788480 827904 863609 878080 905520 965888 1034880 1053696 1103872 1182720 1207360 1317120 1379840 1448832 1505280 1655808 1727218 1756160 1811040 1931776 2069760 2107392 2365440 2414720 2590827 2634240 2759680 2897664 3311616 3454436 3512320 3622080 3863552 4139520 4318045 4829440 5181654 5268480 5519360 5795328 6045263 6908872 7244160 7727104 8279040 8636090 9499699 9658880 10363308 10536960 11590656 12090526 12954135 13817744 14488320 16558080 17272180 18135789 18999398 19317760 20726616 23181312 24181052 25908270 27635488 28499097 28976640 30226315 34544360 36271578 37998796 38635520 41453232 42316841 47498495 48362104 51816540 55270976 56998194 57953280 60452630 66497893 69088720 72543156 75997592 82906464 84633682 90678945 94996990 96724208 103633080 110541952 113996388 115906560 120905260 126950523 132995786 138177440 142495485 145086312 151995184 165812928 169267364 181357890 189993980 193448416 199493679 207266160 211584205 221083904 227992776 241810520 253901046 265991572 276354880 284990970 290172624 296217887 303990368 331625856 332489465 338534728 362715780 379987960 386896832 398987358 414532320 423168410 442167808 455985552 465485251 483621040 507802092 531983144 552709760 569981940 580345248 592435774 607980736 634752615 663251712 664978930 677069456 725431560 759975920 773793664 797974716 829064640 846336820 884335616 888653661 911971104 930970502 967242080 997468395 1015604184 1063966288 1105419520 1139963880 1160690496 1184871548 1215961472 1269505230 1326503424 1329957860 1354138912 1396455753 1450863120 1481089435 1519951840 1547587328 1595949432 1658129280 1692673640 1768671232 1777307322 1823942208 1861941004 1934484160 1994936790 2031208368 2127932576 2210839040 2279927760 2321380992 2327426255 2369743096 2431922944 2539010460 2653006848 2659915720 2708277824 2792911506 2901726240 2962178870 3039903680 3095174656 3191898864 3258396757 3316258560 3385347280 3554614644 3647884416 3723882008 3868968320 3989873580 4062416736 4255865152 4421678080 4443268305 4559855520 4642761984 4654852510 4739486192 4863845888 5078020920 5306013696 5319831440 5416555648 5585823012 5803452480 5924357740 6079807360 6190349312 6383797728 6516793514 6632517120 6770694560 6982278765 7109229288 7295768832 7447764016 7737936640 7979747160 8124833472 8511730304 8843356160 8886536610 9119711040 9285523968 9309705020 9478972384 9727691776 9775190271 10156041840 10639662880 10833111296 11171646024 11606904960 11848715480 12159614720 12380698624 12767595456 13033587028 13265034240 13541389120 13964557530 14218458576 14591537664 14895528032 15475873280 15959494320 16249666944 16291983785 17023460608 17773073220 18239422080 18571047936 18619410040 18957944768 19455383552 19550380542 20312083680 21279325760 21666222592 22343292048 23213809920 23697430960 24319229440 25535190912 26067174056 26530068480 27082778240 27929115060 28436917152 29183075328 29791056064 30951746560 31918988640 32499333888 32583967570 34046921216 35546146440 36478844160 37142095872 37238820080 37915889536 39100761084 40624167360 42558651520 43332445184 44686584096 46427619840 47394861920 48638458880 48875951355 51070381824 52134348112 54165556480 55858230120 56873834304 58366150656 59582112128 61903493120 63837977280 64998667776 65167935140 68093842432 71092292880 72957688320 74477640160 75831779072 78201522168 81248334720 85117303040 86664890368 89373168192 92855239680 94789723840 97276917760 97751902710 102140763648 104268696224 108331112960 111716460240 113747668608 119164224256 127675954560 129997335552 130335870280 136187684864 142184585760 145915376640 148955280320 151663558144 156403044336 162496669440 170234606080 178746336384 185710479360 189579447680 195503805420 204281527296 208537392448 216662225920 223432920480 227495337216 238328448512 255351909120 259994671104 260671740560 284369171520 291830753280 297910560640 303327116288 312806088672 324993338880 340469212160 357492672768 379158895360 391007610840 408563054592 417074784896 433324451840 446865840960 454990674432 476656897024 510703818240 521343481120 568738343040 595821121280 606654232576 625612177344 649986677760 680938424320 714985345536 758317790720 782015221680 834149569792 893731681920 909981348864 953313794048 1021407636480 1042686962240 1137476686080 1191642242560 1251224354688 1299973355520 1429970691072 1516635581440 1564030443360 1668299139584 1787463363840 1819962697728 2042815272960 2085373924480 2274953372160 2383284485120 2502448709376 2859941382144 3033271162880 3128060886720 3336598279168 3574926727680 4170747848960 4549906744320 4766568970240 5004897418752 6256121773440 6673196558336 7149853455360 8341495697920 9099813488640 10009794837504 12512243546880 14299706910720 16682991395840 20019589675008 25024487093760 33365982791680 50048974187520 100097948375040
• Sum of all divisors σ(n): 407402835840000
• Sum of proper divisors (its aliquot sum) s(n): 307304887464960
• 100097948375040 is an abundant number, because the sum of its proper divisors (307304887464960) is greater than itself. Its abundance is 207206939089920

Bases of 100097948375040

• Binary: 10110110000100111011110101001111101100000000000₂
• Hexadecimal: 0x5B09DEA7D800
• Base-36: ZHCD20D1C

Squares and roots of 100097948375040

• 100097948375040 squared (100097948375040²) is 10019599268892172976495001600
• 100097948375040 cubed (100097948375040³) is 1002941330356157258013522445521402200064000
• The square root of 100097948375040 is 10004896.2201034349
• The cube root of 100097948375040 is 46431.0379270731

Scales and comparisons

• 100,097,948,375,040 seconds is equal to 3,182,805 years, 7 weeks, 3 hours, 44 minutes.
• To count from 1 to 100,097,948,375,040 would take you about seven million, nine hundred fifty-seven thousand and 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 100097948375040 cubic inches would be around 3869.3 feet tall.

Recreational maths with 100097948375040

• 100097948375040 backwards is 040573849790001
• The number of decimal digits it has is: 15
• The sum of 100097948375040's digits is 57
• More coming soon!