34400101224125

Names of 34400101224125

• Cardinal: 34400101224125 can be written as Thirty-four trillion, four hundred billion, one hundred one million, two hundred twenty-four thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 3.4400101224125 × 10¹³

Factors of 34400101224125

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 203

Divisors of 34400101224125

• Number of divisors d(n): 864
• Complete list of divisors:
  1 5 7 13 17 19 25 35 41 49 65 85 91 95 101 119 125 133 175 205 221 245 247 287 289 323 325 361 425 455 475 505 533 595 637 665 697 707 779 833 875 931 1025 1105 1225 1235 1313 1435 1445 1547 1615 1625 1717 1729 1805 1919 2009 2023 2125 2261 2275 2375 2525 2527 2665 2975 3185 3325 3485 3535 3731 3757 3895 4141 4165 4199 4655 4693 4879 4949 5125 5453 5491 5525 6125 6137 6175 6565 7175 7225 7735 8075 8585 8645 9025 9061 9191 9595 10045 10115 10127 10829 11305 11375 11849 12019 12103 12625 12635 13243 13325 13433 14161 14801 14875 15827 15925 16625 17425 17675 17689 18655 18785 19475 20705 20825 20995 22321 23275 23465 24395 24745 24947 26117 26299 27265 27455 27625 28987 29189 29393 30685 30875 32623 32825 32851 34153 35875 36125 36461 38171 38437 38675 40375 42925 42959 43225 45125 45305 45955 47975 50225 50575 50635 53833 54145 56525 59245 60095 60515 63175 63427 64337 66215 66625 67165 70397 70805 70889 71383 74005 78679 79135 79625 79781 82943 84133 87125 88375 88445 92701 93275 93925 94031 97375 103525 103607 104125 104329 104975 111605 116375 117325 121975 123725 124735 130585 131495 136325 137275 144935 145945 146965 153425 154037 156247 163115 164125 164255 170765 172159 174629 182305 184093 190855 192185 192413 193375 202909 204323 205751 214625 214795 216125 225131 226525 228361 229775 229957 239875 251125 251617 252875 253175 255227 269059 269165 270725 282625 296225 300475 300713 302575 315875 317135 321685 331075 335825 351985 354025 354445 356915 370025 376831 379457 393395 395675 398905 414715 420665 424099 442225 443989 463505 466375 469625 470155 473993 492779 496223 499681 517625 518035 521645 524875 550753 554591 558025 558467 580601 586625 609875 618625 619837 623675 648907 652925 657475 681625 686375 724675 725249 729725 730303 734825 767125 770185 781235 815575 821275 853825 860795 873145 911525 915161 920465 954275 960925 962065 1014545 1021615 1022827 1028755 1073975 1078259 1093729 1125655 1132625 1141805 1148875 1149785 1196749 1205113 1222403 1258085 1265875 1276135 1337543 1345295 1345825 1346891 1353625 1356277 1430261 1481125 1494901 1502375 1503565 1512875 1575917 1585675 1598527 1608425 1655375 1679125 1759925 1761319 1770125 1772225 1784575 1786589 1850125 1884155 1897285 1966975 1978375 1994525 2073575 2103325 2120495 2211125 2219945 2317525 2350775 2369965 2463895 2481115 2498405 2590175 2608225 2637817 2656199 2753765 2772955 2790125 2792335 2903005 2926703 2968693 3099185 3118375 3244535 3264625 3271021 3287375 3317951 3449453 3497767 3623375 3626245 3648625 3651515 3674125 3850925 3855271 3882137 3906175 3909269 4077875 4106375 4269125 4277489 4303975 4338859 4365725 4557625 4575805 4602325 4771375 4804625 4810325 5072725 5108075 5112121 5114135 5143775 5369875 5391295 5468645 5628275 5709025 5748925 5983745 6025565 6112015 6290425 6380675 6406127 6687715 6726475 6729125 6734455 6781385 7151305 7159789 7209683 7474505 7517825 7547813 7879585 7928375 7992635 8042125 8057881 8377243 8435791 8799625 8806595 8861125 8922875 8932945 9362801 9420775 9428237 9486425 9493939 9834875 9972625 10367875 10464307 10516625 10537229 10602475 11031419 11099725 11587625 11753875 11849825 12319475 12329233 12405575 12492025 12950875 13041125 13189085 13280995 13768825 13864775 13961675 14515025 14633515 14843465 15495925 15557737 16222675 16355105 16589755 17247265 17388059 17488835 18131225 18257575 18593393 19254625 19276355 19410685 19433713 19530875 19546345 20486921 20780851 21387445 21519875 21694295 21828625 22738231 22879025 22897147 23011625 23225657 24051625 25363625 25413317 25540375 25560605 25570675 25718875 26956475 27174959 27343225 28141375 28545125 28744625 29918725 29942423 30127825 30372013 30560075 31452125 31903375 32030635 33438575 33632375 33672275 33906925 35756525 35798945 36048415 37372525 37589125 37739065 39397925 39963175 40289405 41886215 42178955 44032975 44664725 44842889 46814005 47103875 47141185 47432125 47469695 50118523 50467781 52321535 52686145 53012375 55157095 55498625 55607357 56405167 58640701 59249125 61597375 61646165 62027875 62460125 65539607 65945425 66404975 66457573 68844125 69323875 69808375 72575125 73167575 73250149 73760603 74217325 77479625 77788685 81113375 81775525 82948775 86236325 86940295 87444175 90656125 91287875 92966965 96381775 97053425 97168565 97731725 102434605 103904255 106937225 108471475 108904159 113691155 114395125 114485735 116128285 121716413 127066585 127803025 127853375 134782375 135874795 136035991 136716125 136983977 143408447 149593625 149712115 150639125 151860065 152800375 159167617 160153175 160280029 167192875 168361375 169534625 177893219 178782625 178994725 180242075 186862625 188695325 196989625 199815875 201447025 209431075 209596961 210894775 220164875 223323625 224214445 234070025 235705925 237348475 250592615 252338905 261607675 263430725 275785475 278036785 282025835 293203505 295597003 308230825 327698035 329727125 330373121 332024875 332287865 353274467 365837875 366250745 368803015 371086625 388943425 389251499 394836169 408877625 414743875 431181625 432026389 434701475 437220875 464834825 481908875 485267125 485842825 488658625 512173025 516324221 519521275 534686125 542357375 544520795 568455775 572428675 580641425 608582065 635332925 639015125 679373975 680179955 684919885 717042235 748560575 759300325 762329113 795838085 800765875 801400145 852014891 889466095 894973625 901210375 943476625 952251937 958887839 1007235125 1047155375 1047984805 1054473875 1114173319 1121072225 1170350125 1178529625 1186742375 1245252533 1252963075 1261694525 1308038375 1317153625 1378927375 1390183925 1410129175 1466017525 1477985015 1541154125 1638490175 1651865605 1661439325 1766372335 1831253725 1844015075 1944717125 1946257495 1974180845 2069179021 2160131945 2173507375 2312611847 2324174125 2429214125 2560865125 2581621105 2597606375 2722603975 2724760493 2842278875 2862143375 2903207125 3024184723 3042910325 3176664625 3396869875 3400899775 3424599425 3585211175 3742802875 3796501625 3811645565 3979190425 4007000725 4260074455 4447330475 4761259685 4794439195 5239924025 5570866595 5605361125 5616343057 6226262665 6264815375 6308472625 6712214873 6950919625 7050645875 7330087625 7389925075 8192450875 8259328025 8307196625 8831861675 9156268625 9220075375 9731287475 9870904225 10345895105 10800659725 11563059235 12908105525 13613019875 13623802465 14484253147 15120923615 15214551625 16188282929 17004498875 17122997125 17926055875 19058227825 19895952125 20035003625 21169293061 21300372275 22236652375 23806298425 23972195975 26199620125 27854332975 28081715285 31131313325 33561074365 36949625375 39314401399 41296640125 44159308375 48656437375 49354521125 51729475525 54003298625 57815296175 64540527625 68119012325 72421265735 75604618075 80941414645 95291139125 105846465305 106501861375 119031492125 119860979875 139271664875 140408576425 155656566625 167805371825 196572006995 258647377625 275200809793 289076480875 340595061625 362106328675 378023090375 404707073225 529232326525 702042882125 839026859125 982860034975 1376004048965 1810531643375 2023535366125 2646161632625 4914300174875 6880020244825 34400101224125
• Sum of all divisors σ(n): 62379272146464
• Sum of proper divisors (its aliquot sum) s(n): 27979170922339
• 34400101224125 is a deficient number, because the sum of its proper divisors (27979170922339) is less than itself. Its deficiency is 6420930301786

Bases of 34400101224125

• Binary: 111110100100101100101110100000100111010111101₂
• Hexadecimal: 0x1F4965D04EBD
• Base-36: C6Z6S31KT

Squares and roots of 34400101224125

• 34400101224125 squared (34400101224125²) is 1183366964230046323482015625
• 34400101224125 cubed (34400101224125³) is 40707943354799101620519141433984876953125
• The square root of 34400101224125 is 5865159.9487247573
• The cube root of 34400101224125 is 32522.6985335373

Scales and comparisons

• 34,400,101,224,125 seconds is equal to 1,093,816 years, 42 weeks, 1 day, 17 hours, 22 minutes, 5 seconds.
• To count from 1 to 34,400,101,224,125 would take you about two million, seven hundred thirty-four thousand, five hundred forty-two 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 34400101224125 cubic inches would be around 2710.2 feet tall.

Recreational maths with 34400101224125

• 34400101224125 backwards is 52142210100443
• The number of decimal digits it has is: 14
• The sum of 34400101224125's digits is 29
• More coming soon!