97435240782640128

Names of 97435240782640128

• Cardinal: 97435240782640128 can be written as Ninety-seven quadrillion, four hundred thirty-five trillion, two hundred forty billion, seven hundred eighty-two million, six hundred forty thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 9.7435240782640128 × 10¹⁶

Factors of 97435240782640128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 58

Divisors of 97435240782640128

• Number of divisors d(n): 440
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 256 288 318 324 384 424 432 477 512 576 636 648 768 848 864 954 1024 1152 1272 1296 1431 1536 1696 1728 1908 2304 2544 2592 2809 2862 3072 3392 3456 3816 4293 4608 5088 5184 5618 5724 6784 6912 7632 8427 8586 9216 10176 10368 11236 11448 13568 13824 15264 16854 17172 20352 20736 22472 22896 25281 27136 27648 30528 33708 34344 40704 41472 44944 45792 50562 54272 61056 67416 68688 75843 81408 82944 89888 91584 101124 122112 134832 137376 148877 151686 162816 179776 183168 202248 227529 244224 269664 274752 297754 303372 359552 366336 404496 446631 455058 488448 539328 549504 595508 606744 719104 732672 808992 893262 910116 1078656 1099008 1191016 1213488 1339893 1438208 1465344 1617984 1786524 1820232 2157312 2198016 2382032 2426976 2679786 2876416 3235968 3573048 3640464 4019679 4314624 4396032 4764064 4853952 5359572 6471936 7146096 7280928 7890481 8039358 8629248 9528128 9707904 10719144 12059037 12943872 14292192 14561856 15780962 16078716 19056256 19415808 21438288 23671443 24118074 25887744 28584384 29123712 31561924 32157432 38112512 38831616 42876576 47342886 48236148 57168768 58247424 63123848 64314864 71014329 76225024 77663232 85753152 94685772 96472296 114337536 116494848 126247696 128629728 142028658 152450048 171506304 189371544 192944592 213042987 228675072 232989696 252495392 257259456 284057316 343012608 378743088 385889184 418195493 426085974 457350144 504990784 514518912 568114632 639128961 686025216 757486176 771778368 836390986 852171948 1009981568 1029037824 1136229264 1254586479 1278257922 1372050432 1514972352 1543556736 1672781972 1704343896 2019963136 2058075648 2272458528 2509172958 2556515844 3029944704 3087113472 3345563944 3408687792 3763759437 4039926272 4116151296 4544917056 5018345916 5113031688 6059889408 6174226944 6691127888 6817375584 7527518874 8079852544 9089834112 10036691832 10226063376 11291278311 12119778816 12348453888 13382255776 13634751168 15055037748 18179668224 20073383664 20452126752 22164361129 22582556622 24239557632 26764511552 27269502336 30110075496 33873834933 36359336448 40146767328 40904253504 44328722258 45165113244 53529023104 54539004672 60220150992 66493083387 67747669866 72718672896 80293534656 81808507008 88657444516 90330226488 107058046208 109078009344 120440301984 132986166774 135495339732 160587069312 163617014016 177314889032 180660452976 199479250161 214116092416 218156018688 240880603968 265972333548 270990679464 321174138624 327234028032 354629778064 361320905952 398958500322 428232184832 481761207936 531944667096 541981358928 598437750483 642348277248 654468056064 709259556128 722641811904 797917000644 963522415872 1063889334192 1083962717856 1174711139837 1196875500966 1284696554496 1418519112256 1445283623808 1595834001288 1795313251449 1927044831744 2127778668384 2167925435712 2349422279674 2393751001932 2837038224512 2890567247616 3191668002576 3524133419511 3590626502898 3854089663488 4255557336768 4335850871424 4698844559348 4787502003864 5674076449024 5781134495232 6383336005152 7048266839022 7181253005796 8511114673536 8671701742848 9397689118696 9575004007728 10572400258533 11348152898048 11562268990464 12766672010304 14096533678044 14362506011592 17022229347072 17343403485696 18795378237392 19150008015456 21144800517066 22696305796096 25533344020608 28193067356088 28725012023184 31717200775599 34044458694144 34686806971392 37590756474784 38300016030912 42289601034132 51066688041216 56386134712176 57450024046368 63434401551198 68088917388288 75181512949568 76600032061824 84579202068264 95151602326797 102133376082432 112772269424352 114900048092736 126868803102396 150363025899136 153200064123648 169158404136528 190303204653594 204266752164864 225544538848704 229800096185472 253737606204792 300726051798272 306400128247296 338316808273056 380606409307188 451089077697408 459600192370944 507475212409584 601452103596544 612800256494592 676633616546112 761212818614376 902178155394816 919200384741888 1014950424819168 1202904207193088 1353267233092224 1522425637228752 1804356310789632 1838400769483776 2029900849638336 2706534466184448 3044851274457504 3608712621579264 4059801699276672 5413068932368896 6089702548915008 8119603398553344 10826137864737792 12179405097830016 16239206797106688 24358810195660032 32478413594213376 48717620391320064 97435240782640128
• Sum of all divisors σ(n): 296556075748433160
• Sum of proper divisors (its aliquot sum) s(n): 199120834965793032
• 97435240782640128 is an abundant number, because the sum of its proper divisors (199120834965793032) is greater than itself. Its abundance is 101685594183152904

Bases of 97435240782640128

• Binary: 101011010001010001101010111010011011101000011010000000000₂
• Hexadecimal: 0x15A28D5D3743400
• Base-36: QNDWROIM800

Squares and roots of 97435240782640128

• 97435240782640128 squared (97435240782640128²) is 9493626146371058023147009955856384
• 97435240782640128 cubed (97435240782640128³) is 925013749472031949919246057062459015240874723377152
• The square root of 97435240782640128 is 312146184.9560877269
• The cube root of 97435240782640128 is 460156.2808350945

Scales and comparisons

• 97,435,240,782,640,128 seconds is equal to 3,098,139,269 years, 46 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 97,435,240,782,640,128 would take you about nine billion, two hundred ninety-four million, four hundred seventeen thousand, eight hundred nine 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 97435240782640128 cubic inches would be around 38346.4 feet tall.

Recreational maths with 97435240782640128

• 97435240782640128 backwards is 82104628704253479
• 97435240782640128 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 97435240782640128's digits is 72
• More coming soon!