981002974949648091

Names of 981002974949648091

• Cardinal: 981002974949648091 can be written as Nine hundred eighty-one quadrillion, two trillion, nine hundred seventy-four billion, nine hundred forty-nine million, six hundred forty-eight thousand and ninety-one.

Scientific notation

• Scientific notation: 9.81002974949648091 × 10¹⁷

Factors of 981002974949648091

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 111982

Divisors of 981002974949648091

• Number of divisors d(n): 512
• Complete list of divisors:
  1 3 7 9 19 21 27 31 57 63 67 73 93 133 171 189 201 217 219 279 399 469 511 513 589 603 651 657 837 1197 1273 1387 1407 1533 1767 1809 1953 1971 2077 2263 3591 3819 4123 4161 4221 4599 4891 5301 5859 6231 6789 8911 9709 11457 12369 12483 12663 13797 14539 14673 15841 15903 18693 19531 20367 26733 29127 34237 34371 37107 37449 39463 42997 43617 44019 47523 56079 58593 61101 80199 87381 92251 92929 102711 111321 118389 128991 130851 132057 136717 142569 151621 175779 240597 262143 276241 276753 278787 300979 308133 355167 371089 386973 392553 410151 427707 454863 527337 605461 645757 650503 828723 830259 836361 902937 924399 1061347 1065501 1113267 1160919 1230453 1308577 1364589 1425763 1752769 1816383 1937271 1951509 2486169 2490777 2509083 2597623 2708811 2859781 2880799 3184041 3339801 3691359 3925731 4093767 4238227 4277289 5258307 5449149 5811813 5854527 6180817 6734323 7458507 7792869 8126433 8579343 8642397 9160039 9552123 9980341 10019403 11503759 11777193 12269383 12714681 12831867 15774921 16347447 17435439 17563581 18542451 20018467 20165593 20202969 23378607 24862963 25738029 25927191 27089497 27480117 28656369 29941023 34511277 35331579 36808149 38144043 38495601 40565887 43265719 44198653 47140261 47324763 54335839 55627353 60055401 60496779 60608907 70135821 74588889 77214087 77781573 80526313 81268491 82440351 89823069 95526121 103533831 110424447 114432129 117435523 121697661 127952137 129797157 132595959 141420783 163007517 166882059 174040741 180166203 181490337 181826721 189626479 191605327 208764013 223766667 241578939 243805473 247321053 269469207 283961209 286578363 309390571 310601493 331273341 352306569 365092983 380350873 383856411 389391471 397787877 424262349 451199641 489022551 522122223 540498609 544471011 568879437 574815981 626292039 668682847 671300001 724736817 731416419 770751853 822048661 839774407 851883627 859735089 895664959 928171713 1056919707 1095278949 1141052619 1151569233 1168174413 1193363631 1272787047 1341237289 1353598923 1461348091 1467067653 1566366669 1706638311 1724447943 1801754281 1814996299 1878876117 2006048541 2174210451 2312255559 2466145983 2519323221 2555650881 2579205267 2686994877 2784515139 2961309751 3158397487 3170759121 3423157857 3454707699 3640501213 3966516247 4023711867 4060796769 4384044273 4699100007 5119914933 5173343829 5395262971 5405262843 5444988897 5636628351 5878420849 6018145623 6936766677 7398437949 7557969663 7666952643 8060984631 8353545417 8572793179 8883929253 9475192461 10269473571 10921503639 11899548741 12071135601 12182390307 12612279967 12704974093 13152132819 13987188871 16185788913 16215788529 16334966691 17635262547 18054436869 20729168257 20810300031 22195313847 22673908989 24182953893 25483508491 25718379537 26651787759 27765613729 28425577383 32764510917 34233331339 35698646223 36213406803 37836839901 38114922279 39456398457 41961566613 48557366739 48647365587 49004900073 52905787641 55854382711 56264885269 60009552253 62187504771 76450525473 77155138611 79955363277 83296841187 85276732149 97910322097 98293532751 102699994017 107095938669 113510519703 114344766837 120717536827 125884699839 131528062513 145672100217 158717362923 167563148133 168794655807 180028656759 186562514313 229351576419 231465415833 239633319373 249890523561 265756588549 293730966291 308099982051 340531559109 343034300511 362152610481 377654099517 390980678977 393854196883 394584187539 502689444399 506383967421 540085970277 559687542939 688054729257 718899958119 749671570683 797269765647 845022757789 881192898873 920696437591 924299946153 1061233271509 1086457831443 1172942036931 1181562590649 1183752562617 1508068333197 1519151902263 1620257910831 1860296119843 2156699874357 2293633199713 2391809296941 2499033187747 2535068273367 2643578696619 2762089312773 3183699814527 3259373494329 3518826110793 3544687771947 3551257687851 3742243641637 4077369937903 5580888359529 6470099623071 6880899599139 7175427890823 7428632900563 7497099563241 7605204820101 8286267938319 8812380188371 9551099443581 10556478332379 10634063315841 11226730924911 12232109813709 16055432397991 16742665078587 17493232314229 20642698797417 22285898701689 22491298689723 22815614460303 24858803814957 26195705491459 26437140565113 28541589565321 28653298330743 33680192774733 36696329441127 48166297193973 50227995235761 52479696942687 61686661318597 61928096392251 66857696105067 67473896069169 71102629191103 77470028820157 78587116474377 79311421695339 85624768695963 101040578324199 110088988323381 144498891581919 157439090828061 167435223579049 185059983955791 200573088315201 213307887573309 232410086460471 235761349423131 237934265086017 256874306087889 273183785839501 433496674745757 472317272484183 497718404337721 502305670737147 542290201741099 555179951867373 639923662719927 697230259381413 707284048269393 770622918263667 819551357518503 1172046565053343 1493155213013163 1506917012211441 1626870605223297 1665539855602119 1912286500876507 1919770988159781 2091690778144239 2458654072555509 3516139695160029 4479465639039489 4520751036634323 4880611815669891 5190491930950519 5736859502629521 7375962217666527 10548419085480087 13438396917118467 14641835447009673 15571475792851557 17210578507888563 31645257256440261 36333443516653633 46714427378554671 51631735523665689 109000330549960899 140143282135664013 327000991649882697 981002974949648091
• Sum of all divisors σ(n): 1856919558973030400
• Sum of proper divisors (its aliquot sum) s(n): 875916584023382309
• 981002974949648091 is a deficient number, because the sum of its proper divisors (875916584023382309) is less than itself. Its deficiency is 105086390926265782

Bases of 981002974949648091

• Binary: 110110011101001110010000001000010101011110011010011011011011₂
• Hexadecimal: 0xD9D39021579A6DB
• Base-36: 7GBCJ562SS0R

Squares and roots of 981002974949648091

• 981002974949648091 squared (981002974949648091²) is 962366836860059879950676764739944281
• 981002974949648091 cubed (981002974949648091³) is 944084729952601393515561178663433040048635891898017571
• The square root of 981002974949648091 is 990455942.9624560999
• The cube root of 981002974949648091 is 993627.1311337089

Scales and comparisons

• 981,002,974,949,648,091 seconds is equal to 31,192,860,161 years, 50 weeks, 6 hours, 14 minutes, 51 seconds.
• To count from 1 to 981,002,974,949,648,091 would take you about ninety-three billion, five hundred seventy-eight million, five hundred eighty thousand, four hundred eighty-five 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 981002974949648091 cubic inches would be around 82802.3 feet tall.

Recreational maths with 981002974949648091

• 981002974949648091 backwards is 190846949479200189
• The number of decimal digits it has is: 18
• The sum of 981002974949648091's digits is 90
• More coming soon!