34972517938512

Names of 34972517938512

• Cardinal: 34972517938512 can be written as Thirty-four trillion, nine hundred seventy-two billion, five hundred seventeen million, nine hundred thirty-eight thousand, five hundred twelve.

Scientific notation

• Scientific notation: 3.4972517938512 × 10¹³

Factors of 34972517938512

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 235

Divisors of 34972517938512

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 49 56 62 66 77 84 88 93 98 112 121 124 132 147 154 168 176 181 186 196 217 231 242 248 264 294 308 336 341 362 363 372 392 434 462 484 496 528 539 543 588 616 651 682 724 726 744 784 847 868 924 968 1023 1078 1086 1176 1232 1267 1302 1331 1364 1448 1452 1488 1519 1617 1694 1736 1848 1936 1991 2046 2156 2172 2352 2387 2534 2541 2604 2662 2728 2896 2904 3038 3234 3388 3472 3696 3751 3801 3982 3993 4092 4312 4344 4557 4774 5068 5082 5208 5324 5456 5611 5808 5929 5973 6076 6468 6776 7161 7502 7602 7964 7986 8184 8624 8688 8869 9114 9317 9548 10136 10164 10416 10648 11222 11253 11858 11946 12152 12936 13552 13937 14322 14641 15004 15204 15928 15972 16368 16709 16833 17738 17787 18228 18634 19096 20272 20328 21296 21901 22444 22506 23716 23892 24304 25872 26257 26607 27874 27951 28644 29282 30008 30408 31856 31944 32761 33418 33666 35476 35574 36456 37268 38192 39277 40656 41261 41811 43802 43923 44888 45012 47432 47784 50127 52514 53214 55748 55902 57288 58564 60016 60816 61721 63888 65219 65522 65703 66836 67332 70952 71148 72912 74536 78554 78771 82522 83622 87604 87846 89776 90024 94864 95568 97559 98283 100254 102487 105028 106428 111496 111804 114576 117128 117831 123442 123783 130438 131044 131406 133672 134664 141904 142296 149072 153307 157108 157542 165044 167244 175208 175692 180048 183799 185163 195118 195657 196566 200508 204974 210056 212856 222992 223608 229327 234256 235662 240911 246884 247566 260876 262088 262812 267344 269328 274939 284592 288827 292677 306614 307461 314216 315084 330088 334488 350416 351384 360371 367598 370326 390236 391314 393132 401016 409948 420112 425712 432047 447216 453871 458654 459921 471324 481822 493768 495132 521752 524176 525624 549878 551397 577654 585354 613228 614922 628432 630168 660176 668976 678931 687981 702768 717409 720742 722733 735196 740652 780472 782628 786264 802032 819896 824817 864094 866481 907742 917308 919842 942648 963644 987536 990264 1015591 1043504 1051248 1073149 1081113 1099756 1102794 1155308 1170708 1226456 1229844 1260336 1296141 1357862 1361613 1375962 1434818 1441484 1445466 1470392 1481304 1560944 1565256 1572528 1605289 1639792 1649634 1686377 1728188 1732962 1815484 1834616 1839684 1885296 1927288 1980528 2021789 2031182 2036793 2146298 2152227 2162226 2199512 2205588 2310616 2341416 2452912 2459688 2522597 2592282 2650021 2715724 2723226 2751924 2869636 2882968 2890932 2940784 2962608 3024329 3046773 3130512 3177097 3210578 3219447 3299268 3372754 3456376 3465924 3630968 3669232 3679368 3854576 3964081 4043578 4062364 4073586 4292596 4304454 4324452 4399024 4411176 4621232 4682832 4752517 4815867 4919376 5045194 5059131 5184564 5300042 5431448 5446452 5503848 5739272 5765936 5781864 6048658 6065367 6093546 6354194 6421156 6438894 6598536 6745508 6912752 6931848 7109137 7261936 7358736 7468241 7567791 7928162 7950063 8087156 8124728 8147172 8585192 8608908 8648904 8822352 9072987 9505034 9531291 9631734 10090388 10118262 10369128 10600084 10862896 10892904 11007696 11171501 11478544 11563728 11804639 11892243 12097316 12130734 12187092 12708388 12842312 12877788 13197072 13491016 13863696 14218274 14257551 14936482 15135582 15856324 15900126 16174312 16249456 16294344 17170384 17217816 17297808 17658179 18145974 18550147 19010068 19062582 19263468 20180776 20236524 20738256 21200168 21327411 21785808 22239679 22343002 22404723 23609278 23784486 24194632 24261468 24374184 25416776 25684624 25755576 26982032 27748567 28436548 28515102 29872964 30271164 31712648 31800252 32348624 32588688 33267619 33514503 34435632 35316358 35413917 36291948 37100294 38020136 38125164 38526936 40361552 40473048 42400336 42654822 43604891 44479358 44686004 44809446 47218556 47568972 48389264 48522936 48748368 49763959 50833552 51511152 52277687 52974537 55497134 55650441 56873096 57030204 59745928 60542328 63425296 63600504 66535238 66719037 67029006 70632716 70827834 72583896 74200588 76040272 76250328 77053872 78200507 80946096 82150651 83245701 85309644 87209782 88958716 89372008 89618892 94437112 95137944 97045872 99527918 99802857 104555374 105949074 110994268 111300882 113746192 114060408 119491856 121084656 122886511 127201008 129851029 130814673 133070476 133438074 134058012 141265432 141655668 145167792 148401176 149291877 152500656 156401014 156833061 164301302 166491402 170619288 174419564 177917432 178744016 179237784 188874224 190275888 194239969 199055836 199605714 209110748 211898148 221988536 222601764 228120816 234601521 245773022 246451953 259702058 261629346 266140952 266876148 268116024 282530864 283311336 296802352 298583754 305234237 312802028 313666122 328602604 332982804 341238576 348839128 355834864 358475568 365943809 368659533 388479938 389553087 398111672 399211428 418221496 423796296 443977072 445203528 469203042 479653801 491546044 492903906 519404116 523258692 532281904 533752296 536232048 547403549 566622672 575054557 582719907 597167508 610468474 625604056 627332244 657205208 665965608 697678256 731887618 737319066 776959876 779106174 796223344 798422856 836442992 847592592 860205577 890407056 915702711 938406084 959307602 983092088 985807812 1038808232 1046517384 1067504592 1094807098 1097831427 1150109114 1165439814 1194335016 1220936948 1251208112 1254664488 1314410416 1331931216 1351751621 1438961403 1463775236 1474638132 1553919752 1558212348 1596845712 1642210647 1720411154 1725163671 1831405422 1876812168 1918615204 1966184176 1971615624 2077616464 2093034768 2136639659 2189614196 2195662854 2300218228 2330879628 2388670032 2441873896 2509328976 2580616731 2703503242 2877922806 2927550472 2949276264 3107839504 3116424696 3284421294 3357576607 3440822308 3450327342 3662810844 3753624336 3837230408 3943231248 4025381899 4055254863 4273279318 4379228392 4391325708 4600436456 4661759256 4883747792 5161233462 5407006484 5755845612 5855100944 5898552528 6021439039 6232849392 6409918977 6568842588 6715153214 6881644616 6900654684 7325621688 7674460816 8050763798 8110509726 8546558636 8758456784 8782651416 9200872912 9323518512 9462261347 10072729821 10322466924 10814012968 11511691224 12042878078 12076145697 12819837954 13137685176 13430306428 13763289232 13801309368 14651243376 14869267831 16101527596 16221019452 17093117272 17565302832 18064317117 18924522694 20145459642 20644933848 21628025936 23023382448 23503036249 24085756156 24152291394 25639675908 26275370352 26860612856 27602618736 28386784041 29738535662 32203055192 32442038904 34186234544 36128634234 37849045388 40290919284 41289867696 44607803493 47006072498 48171512312 48304582788 51279351816 53721225712 56773568082 59477071324 64406110384 64884077808 66235829429 70509108747 72257268468 75698090776 80581838568 89215606986 94012144996 96343024624 96609165576 102558703632 104084874817 113547136164 118954142648 132471658858 141018217494 144514536936 151396181552 161163677136 178431213972 188024289992 193218331152 198707488287 208169749634 227094272328 237908285296 264943317716 282036434988 289029073872 312254624451 356862427944 376048579984 397414976574 416339499268 454188544656 529886635432 564072869976 624509248902 713724855888 728594123719 794829953148 832678998536 1059773270864 1128145739952 1249018497804 1457188247438 1589659906296 1665357997072 2185782371157 2498036995608 2914376494876 3179319812592 4371564742314 4996073991216 5828752989752 8743129484628 11657505979504 17486258969256 34972517938512
• Sum of all divisors σ(n): 119997001664640
• Sum of proper divisors (its aliquot sum) s(n): 85024483726128
• 34972517938512 is an abundant number, because the sum of its proper divisors (85024483726128) is greater than itself. Its abundance is 50051965787616

Bases of 34972517938512

• Binary: 111111100111010101100100000100011010101010000₂
• Hexadecimal: 0x1FCEAC823550
• Base-36: CEA5I7T5C

Squares and roots of 34972517938512

• 34972517938512 squared (34972517938512²) is 1223077010959543630212774144
• 34972517938512 cubed (34972517938512³) is 42774082705964277629521168846451535433728
• The square root of 34972517938512 is 5913756.6688621879
• The cube root of 34972517938512 is 32702.0993700311

Scales and comparisons

• 34,972,517,938,512 seconds is equal to 1,112,017 years, 46 weeks, 3 days, 4 hours, 15 minutes, 12 seconds.
• To count from 1 to 34,972,517,938,512 would take you about two million, seven hundred eighty thousand and forty-four 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 34972517938512 cubic inches would be around 2725.2 feet tall.

Recreational maths with 34972517938512

• 34972517938512 backwards is 21583971527943
• 34972517938512 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34972517938512's digits is 66
• More coming soon!