34938591088401

Names of 34938591088401

• Cardinal: 34938591088401 can be written as Thirty-four trillion, nine hundred thirty-eight billion, five hundred ninety-one million, eighty-eight thousand, four hundred one.

Scientific notation

• Scientific notation: 3.4938591088401 × 10¹³

Factors of 34938591088401

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 533

Divisors of 34938591088401

• Number of divisors d(n): 720
• Complete list of divisors:
  1 3 7 9 11 13 19 21 27 33 39 57 63 71 77 81 91 99 117 121 133 143 171 189 209 213 231 247 273 297 351 363 399 409 429 497 513 567 627 639 693 741 781 819 847 891 923 1001 1053 1089 1197 1227 1287 1349 1463 1491 1539 1573 1729 1881 1917 2079 2223 2299 2343 2457 2541 2717 2769 2863 3003 3267 3591 3681 3861 4047 4389 4473 4499 4719 5041 5187 5317 5467 5643 5751 6237 6461 6669 6897 7029 7371 7623 7771 8151 8307 8589 8591 9009 9443 9801 10153 10773 11011 11043 11583 12141 13167 13419 13497 14157 14839 15123 15561 15951 16093 16401 16929 17537 19019 19383 20007 20691 21087 22869 23313 24453 24921 25767 25773 27027 28329 29039 29887 30459 31493 33033 33129 35287 36423 37219 39501 40257 40491 42471 44517 45369 46683 47853 48279 49203 49489 52611 54397 55451 57057 58149 58487 60137 62073 63261 65533 68607 69939 71071 73359 74763 77301 77319 81081 84987 85481 87117 89661 91377 94479 95779 99099 101023 103873 105861 109269 111657 111683 118503 121473 122759 127413 133551 136107 140049 143559 144837 147609 148467 157833 163191 163229 166353 171171 174447 175461 180411 186219 192907 196599 203273 209209 209817 213213 220077 231903 231957 254961 256443 261351 268983 274131 283437 287337 297297 303069 311619 317583 319429 334971 335049 346423 364419 368277 377507 388157 400653 408321 409409 430677 434511 442827 445401 458731 473499 489573 489687 499059 513513 523341 526383 541233 551741 578721 589797 598367 609819 609961 627627 629451 639639 643357 670453 695871 707161 720863 764883 769329 781781 784053 806949 822393 850311 862011 891891 909207 934857 940291 952749 958287 1004913 1005147 1039269 1053569 1104831 1111253 1132521 1142603 1164471 1201959 1228227 1245127 1303533 1336203 1350349 1376193 1420497 1468719 1469061 1497177 1540539 1579149 1623699 1655223 1736163 1769391 1795101 1829457 1829883 1882881 1918917 1930071 2011359 2061769 2121483 2121977 2162589 2236003 2307987 2345343 2352159 2420847 2550933 2586033 2642549 2727621 2804571 2820873 2858247 2874861 3014739 3015441 3117807 3160707 3314493 3333759 3397563 3427809 3493413 3513719 3684681 3735381 3862187 4008609 4051047 4128579 4152577 4269727 4406157 4407183 4491531 4503499 4737447 4871097 4965669 5046041 5208489 5308173 5385303 5488371 5489649 5648643 5756751 5790213 6034077 6069151 6185307 6364449 6365931 6487767 6582037 6708009 6923961 7036029 7172633 7374983 7758099 7778771 7927647 7929493 8182863 8413713 8462619 8624583 8715889 9046323 9353421 9482121 9943479 10001277 10192689 10283427 10480239 10541157 11054043 11206143 11586561 11589259 12153141 12223783 12385737 12457731 12809181 13221549 13510497 13696397 14432383 14853839 14897007 15138123 15625467 16155909 16465113 16468947 16945929 17370639 18102231 18207453 18555921 19093347 19097793 19463301 19746111 20124027 21108087 21517899 22124949 22679459 23336313 23782941 23788479 24596033 25387857 25873749 26147667 26802997 28060263 28446363 29068039 30003831 30578067 30850281 31440717 31623471 33162129 33618429 34759683 34767777 36459423 36671349 37157211 37373193 38427543 39173611 40531491 41089191 42484057 43297149 44561517 44691021 45414369 45678347 48467727 49406841 50208431 52111917 54306693 54622359 55506451 55667763 57280041 57293379 58389903 59238333 60372081 63324261 64553697 66374847 66760661 68038377 70008939 71348823 71365437 73788099 76163571 78443001 78898963 80408991 81124813 85339089 85566481 87204117 90011493 92550843 94870413 95874779 100855287 104279049 104303331 109378269 110014047 112119579 115282629 117520833 121594473 123267573 127452171 129891447 133684551 136243107 137035041 150625293 150660367 158756213 163867077 166519353 167003289 171880137 177714999 181116243 187620979 193661091 199124541 200281983 204115131 210026817 214046469 214096311 221364297 235329003 236696889 241226973 243374439 249474049 256699443 261612351 274215277 284611239 287624337 294832967 312837147 312909993 319748429 330042141 336358737 345847887 352562499 364783419 369802719 382356513 389674341 401053653 408729321 411105123 430909721 451875879 451981101 467324627 476268639 491601231 499558059 509256943 533144997 552292741 562862937 580983273 597373623 600845949 612345393 630080451 642288933 664092891 705987009 710090667 723680919 730123317 748422147 770098329 784837053 822645831 862873011 867888593 884498901 938729979 959245287 990126423 1054622569 1057687497 1109408157 1147069539 1169023023 1203160959 1233315369 1292729163 1355627637 1355943303 1401973881 1428805917 1498674177 1527770829 1656878223 1688588811 1746318343 1802537847 1837036179 1992278673 2063830769 2130272001 2171042757 2190369951 2245266441 2310294987 2354511159 2467937493 2588619033 2603665779 2653496703 2877735861 3016368047 3163867707 3173062491 3243162637 3441208617 3564798601 3699946107 3878187489 4066882911 4067829909 4205921643 4286417751 4496022531 4583312487 4740006931 4970634669 5065766433 5238955029 5407613541 5601826373 6075220151 6191492307 6390816003 6571109853 6735799323 6930884961 7403812479 7765857099 7810997337 7960490109 8633207583 9049104141 9491603121 9729487911 10694395803 11634562467 12203489727 12617764929 12859253253 13749937461 14220020793 14911904007 15197299299 15716865087 16805479119 18225660453 18574476921 20207397969 22211437437 22702138459 23432992011 23881470327 25899622749 27147312423 28474809363 29188463733 32083187409 33180048517 34903687401 37853294787 39212784611 41249812383 42660062379 44735712021 47150595261 50416437357 54676981359 55723430763 61620090103 68106415377 70298976033 81441937269 85424428089 87565391199 96249562227 99540145551 117638353833 127980187137 141451785783 151249312071 164030944077 167170292289 184860270309 204319246131 244325811807 262696173597 288748686681 298620436653 352915061499 383940561411 431340630721 453747936213 492092832231 554580810927 612957738393 895861309959 1058745184497 1294021892163 1663742432781 1838873215179 2687583929877 3176235553491 3882065676489 4991227298343 11646197029467 34938591088401
• Sum of all divisors σ(n): 75569174665600
• Sum of proper divisors (its aliquot sum) s(n): 40630583577199
• 34938591088401 is an abundant number, because the sum of its proper divisors (40630583577199) is greater than itself. Its abundance is 5691992488798

Bases of 34938591088401

• Binary: 111111100011011000110010011111000111100010001₂
• Hexadecimal: 0x1FC6C64F8F11
• Base-36: CDUKF1O29

Squares and roots of 34938591088401

• 34938591088401 squared (34938591088401²) is 1220705147242493773796736801
• 34938591088401 cubed (34938591088401³) is 42649717979011823504114396322192720945201
• The square root of 34938591088401 is 5910887.5042924815
• The cube root of 34938591088401 is 32691.5211765307

Scales and comparisons

• 34,938,591,088,401 seconds is equal to 1,110,939 years, 6 weeks, 3 days, 7 hours, 13 minutes, 21 seconds.
• To count from 1 to 34,938,591,088,401 would take you about two million, seven hundred seventy-seven thousand, three hundred forty-seven 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 34938591088401 cubic inches would be around 2724.3 feet tall.

Recreational maths with 34938591088401

• 34938591088401 backwards is 10488019583943
• 34938591088401 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34938591088401's digits is 63
• More coming soon!