34997417053108920

Names of 34997417053108920

• Cardinal: 34997417053108920 can be written as Thirty-four quadrillion, nine hundred ninety-seven trillion, four hundred seventeen billion, fifty-three million, one hundred eight thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.499741705310892 × 10¹⁶

Factors of 34997417053108920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 619062

Divisors of 34997417053108920

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 19 20 23 24 30 36 38 40 45 46 57 60 69 72 76 90 92 95 114 115 120 138 152 171 180 184 190 207 228 230 276 285 342 345 360 361 380 414 437 456 460 552 570 684 690 722 760 828 855 874 920 1035 1083 1140 1311 1368 1380 1444 1656 1710 1748 1805 2070 2166 2185 2280 2622 2760 2888 3249 3420 3496 3610 3933 4140 4332 4370 5244 5415 6498 6555 6840 7220 7866 8280 8303 8664 8740 10488 10830 12996 13110 14440 15732 16245 16606 17480 19531 19665 21660 24909 25992 26220 31464 32490 33212 39062 39330 41515 43320 49818 52440 58593 64980 66424 74727 78124 78660 83030 97655 99636 117186 124545 129960 149454 156248 157320 166060 175779 195310 199272 234372 249090 292965 298908 332120 351558 371089 373635 390620 449213 468744 498180 585930 597816 599479 703116 742178 747270 781240 878895 898426 996360 1113267 1171860 1198958 1347639 1406232 1484356 1494540 1757790 1796852 1798437 1855445 2226534 2246065 2343720 2397916 2695278 2968712 2989080 2997395 3339801 3515580 3593704 3596874 3710890 4042917 4453068 4492130 4795832 5390556 5395311 5566335 5994790 6679602 6738195 7031160 7050691 7193748 7421780 8085834 8535047 8906136 8984260 8992185 10781112 10790622 11132670 11390101 11989580 13359204 13476390 13788017 14101382 14387496 14843560 16171668 16699005 17070094 17968520 17984370 20214585 21152073 21581244 22265340 22780202 23979160 25605141 26718408 26952780 26976555 27576034 28202764 32343336 33398010 34140188 34170303 35253455 35968740 40429170 41364051 42304146 42675235 43162488 44530680 45560404 51210282 53905560 53953110 55152068 56405528 56950505 63456219 66796020 68280376 68340606 68940085 70506910 71937480 76815423 80858340 82728102 84608292 85350470 91120808 102420564 102510909 105760365 107906220 110304136 113901010 124092153 126912438 128025705 133592040 136681212 137880170 141013820 153630846 161716680 162165893 165456204 169216584 170700940 170851515 204841128 205021818 206820255 211520730 215812440 216411919 227802020 248184306 253824876 256051410 261972323 273362424 275760340 282027640 307261692 317281095 324331786 330912408 341401880 341703030 384077115 410043636 413640510 423041460 432823838 455604040 486497679 496368612 507649752 512102820 512554545 523944646 551520680 614523384 620460765 634562190 648663572 649235757 683406060 768154230 785916969 810829465 820087272 827281020 846082920 865647676 972995358 992737224 1024205640 1025109090 1047889292 1082059595 1240921530 1269124380 1297327144 1298471514 1309861615 1366812120 1459493037 1536308460 1571833938 1621658930 1654562040 1731295352 1945990716 1947707271 2050218180 2095778584 2164119190 2357750907 2432488395 2481843060 2538248760 2596943028 2619723230 2918986074 3072616920 3143667876 3243317860 3246178785 3891981432 3895414542 3929584845 4100436360 4328238380 4715501814 4864976790 4963686120 4977474137 5193886056 5239446460 5837972148 6287335752 6486635720 6492357570 7297465185 7790829084 7859169690 8656476760 9431003628 9729953580 9738536355 9954948274 10478892920 11675944296 11708424349 11788754535 12984715140 14594930370 14932422411 15581658168 15718339380 18862007256 19459907160 19477072710 19909896548 23416848698 23577509070 24887370685 25969430280 29189860740 29864844822 31436678760 35125273047 38954145420 39819793096 44797267233 46833697396 47155018140 49774741370 58379721480 58542121745 59729689644 70250546094 74662112055 77908290840 89594534466 93667394792 94310036280 99549482740 105375819141 117084243490 119459379288 140501092188 149324224110 175626365235 179189068932 199098965480 210751638282 222460062631 223986336165 234168486980 269293760027 281002184376 298648448220 351252730470 358378137864 421503276564 444920125262 447972672330 468336973960 526879095705 538587520054 597296896440 667380187893 702505460940 807881280081 843006553128 889840250524 895945344660 1053758191410 1077175040108 1112300313155 1334760375786 1346468800135 1405010921880 1615762560162 1779680501048 1791890689320 2002140563679 2107516382820 2154350080216 2224600626310 2423643840243 2669520751572 2692937600270 3231525120324 3336900939465 4004281127358 4039406400405 4215032765640 4226741189989 4449201252620 4847287680486 5116581440513 5339041503144 5385875200540 6463050240648 6673801878930 8008562254716 8078812800810 8453482379978 8898402505240 9694575360972 10010702818395 10233162881026 10771750401080 12118219201215 12680223569967 13347603757860 15349744321539 16017124509432 16157625601620 16906964759956 19389150721944 20021405636790 20466325762052 21133705949945 24236438402430 25360447139934 25582907202565 26695207515720 30699488643078 32315251203240 33813929519912 38040670709901 40042811273580 40932651524104 42267411899890 46049232964617 48472876804860 50720894279868 51165814405130 61398977286156 63401117849835 76081341419802 76748721607695 80085622547160 84534823799780 92098465929234 96945753609720 97215047369747 101441788559736 102331628810260 122797954572312 126802235699670 152162682839604 153497443215390 169069647599560 184196931858468 190203353549505 194430094739494 204663257620520 230246164823085 253604471399340 291645142109241 304325365679208 306994886430780 368393863716936 380406707099010 388860189478988 460492329646170 486075236848735 507208942798680 583290284218482 613989772861560 760813414198020 777720378957976 874935426327723 920984659292340 972150473697470 1166580568436964 1458225710546205 1521626828396040 1749870852655446 1841969318584680 1944300947394940 2333161136873928 2916451421092410 3499741705310892 3888601894789880 4374677131638615 5832902842184820 6999483410621784 8749354263277230 11665805684369640 17498708526554460 34997417053108920
• Sum of all divisors σ(n): 125268966206092800
• Sum of proper divisors (its aliquot sum) s(n): 90271549152983880
• 34997417053108920 is an abundant number, because the sum of its proper divisors (90271549152983880) is greater than itself. Its abundance is 55274132099874960

Bases of 34997417053108920

• Binary: 1111100010101011111011100100011100000011011101010111000₂
• Hexadecimal: 0x7C55F72381BAB8
• Base-36: 9KLJRFUW1Q0

Squares and roots of 34997417053108920

• 34997417053108920 squared (34997417053108920²) is 1224819200389239042139837383566400
• 34997417053108920 cubed (34997417053108920³) is 42865508370677585998384526374743500405637252288000
• The square root of 34997417053108920 is 187075965.9953916155
• The cube root of 34997417053108920 is 327098.5841632343

Scales and comparisons

• 34,997,417,053,108,920 seconds is equal to 1,112,809,608 years, 8 weeks, 5 days, 22 hours, 42 minutes.
• To count from 1 to 34,997,417,053,108,920 would take you about three billion, three hundred thirty-eight million, four hundred twenty-eight thousand, eight hundred twenty-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 34997417053108920 cubic inches would be around 27258.2 feet tall.

Recreational maths with 34997417053108920

• 34997417053108920 backwards is 02980135071479943
• 34997417053108920 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34997417053108920's digits is 72
• More coming soon!