34135373790340137

Names of 34135373790340137

• Cardinal: 34135373790340137 can be written as Thirty-four quadrillion, one hundred thirty-five trillion, three hundred seventy-three billion, seven hundred ninety million, three hundred forty thousand, one hundred thirty-seven.

Scientific notation

• Scientific notation: 3.4135373790340137 × 10¹⁶

Factors of 34135373790340137

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 346

Divisors of 34135373790340137

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 7 9 21 27 49 63 81 139 147 189 197 243 417 441 567 591 729 973 1251 1323 1379 1701 1773 2187 2919 3753 3969 4137 5103 5319 6561 6811 8757 9653 11259 11907 12411 15309 15957 19683 20433 26271 27383 28959 33777 35721 37233 38809 45927 47871 59049 61299 78813 82149 86877 101331 107163 111699 116427 137781 143613 177147 183897 191681 236439 246447 260631 271663 303993 321489 335097 349281 413343 430839 531441 551691 575043 709317 739341 781893 814989 911979 964467 1005291 1047843 1240029 1292517 1341767 1594323 1655073 1725129 1901641 2127951 2218023 2345679 2444967 2735937 2893401 3015873 3143529 3720087 3877551 4025301 4782969 4965219 5175387 5394451 5704923 6383853 6654069 7037037 7334901 8207811 8680203 9047619 9430587 11160261 11632653 12075903 14348907 14895657 15526161 16183353 17114769 19151559 19962207 21111111 22004703 24623433 26040609 27142857 28291761 33480783 34897959 36227709 37761157 43046721 44686971 46578483 48550059 51344307 57454677 59886621 63333333 66014109 73870299 78121827 81428571 84875283 100442349 104693877 108683127 113283471 129140163 134060913 139735449 145650177 154032921 172364031 179659863 189999999 198042327 221610897 234365481 244285713 254625849 264328099 301327047 314081631 326049381 339850413 402182739 419206347 436950531 462098763 517092093 538979589 569999997 594126981 664832691 703096443 732857139 763877547 792984297 903981141 942244893 978148143 1019551239 1206548217 1257619041 1310851593 1386296289 1551276279 1616938767 1709999991 1782380943 1994498073 2109289329 2198571417 2291632641 2378952891 2826734679 2934444429 3058653717 3619644651 3772857123 3932554779 4158888867 4653828837 4850816301 5129999973 5347142829 5983494219 6327867987 6595714251 6874897923 7136858673 8480204037 8803333287 9175961151 10858933953 11318571369 11797664337 12476666601 13961486511 14552448903 15389999919 16041428487 17950482657 19787142753 20624693769 21410576019 25440612111 26409999861 27527883453 32576801859 33955714107 35392993011 37429999803 41884459533 43657346709 46169999757 48124285461 59361428259 61874081307 64231728057 79229999583 82583650359 97730405577 101867142321 106178979033 112289999409 125653378599 130972040127 138509999271 144372856383 178084284777 185622243921 192695184171 237689998749 247750951077 293191216731 305601426963 318536937099 336869998227 392916120381 415529997813 433118569149 556866731763 578085552513 713069996247 743252853231 879573650193 916804280889 955610811297 1010609994681 1178748361143 1246589993439 1299355707447 1670600195289 1734256657539 2139209988741 2229758559693 2750412842667 2866832433891 3031829984043 3536245083429 3898067122341 5011800585867 5202769972617 6417629966223 6689275679079 8251238528001 8600497301673 9095489952129 11694201367023 15608309917851 19252889898669 20067827037237 24753715584003 25801491905019 27286469856387 35082604101069 46824929753553 57758669696007 60203481111711 77404475715057 81859409569161 140474789260659 173276009088021 180610443335133 232213427145171 245578228707483 421424367781977 541831330005399 696640281435513 1264273103345931 1625493990016197 3792819310037793 4876481970048591 11378457930113379 34135373790340137
• Sum of all divisors σ(n): 60297322791909840
• Sum of proper divisors (its aliquot sum) s(n): 26161949001569703
• 34135373790340137 is a deficient number, because the sum of its proper divisors (26161949001569703) is less than itself. Its deficiency is 7973424788770434

Bases of 34135373790340137

• Binary: 1111001010001011111000100001101000011000110010000101001₂
• Hexadecimal: 0x7945F10D0C6429
• Base-36: 9C3ZA8DJ9K9

Squares and roots of 34135373790340137

• 34135373790340137 squared (34135373790340137²) is 1165223743806240371369734153178769
• 34135373790340137 cubed (34135373790340137³) is 39775348044205548119841312792882983772724276951353
• The square root of 34135373790340137 is 184757608.2069156279
• The cube root of 34135373790340137 is 324390.5700891185

Scales and comparisons

• 34,135,373,790,340,137 seconds is equal to 1,085,399,298 years, 46 weeks, 1 day, 14 hours, 28 minutes, 57 seconds.
• To count from 1 to 34,135,373,790,340,137 would take you about three billion, two hundred fifty-six million, one hundred ninety-seven thousand, eight hundred ninety-six 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 34135373790340137 cubic inches would be around 27032.5 feet tall.

Recreational maths with 34135373790340137

• 34135373790340137 backwards is 73104309737353143
• 34135373790340137 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34135373790340137's digits is 63
• More coming soon!