34400147400990

Names of 34400147400990

• Cardinal: 34400147400990 can be written as Thirty-four trillion, four hundred billion, one hundred forty-seven million, four hundred thousand, nine hundred ninety.

Scientific notation

• Scientific notation: 3.440014740099 × 10¹³

Factors of 34400147400990

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 307

Divisors of 34400147400990

• Number of divisors d(n): 1600
• Complete list of divisors:
  1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 43 45 49 54 63 70 79 81 82 86 90 98 105 123 126 127 129 135 147 158 162 189 205 210 215 237 245 246 254 258 270 287 294 301 315 343 369 378 381 387 395 405 410 430 441 474 490 553 567 574 602 615 630 635 645 686 711 735 738 762 774 790 810 861 882 889 903 945 1029 1106 1107 1134 1143 1161 1185 1230 1270 1290 1323 1422 1435 1470 1505 1659 1715 1722 1763 1778 1806 1845 1890 1905 1935 2009 2058 2107 2133 2205 2214 2286 2322 2370 2401 2583 2646 2667 2709 2765 2835 2870 3010 3087 3239 3318 3321 3397 3429 3430 3483 3526 3555 3690 3810 3870 3871 3969 4018 4214 4266 4305 4410 4445 4515 4802 4977 5145 5166 5207 5289 5334 5418 5461 5530 5535 5670 5715 5805 6027 6174 6223 6321 6399 6478 6615 6642 6794 6858 6966 7110 7203 7742 7749 7938 8001 8127 8295 8610 8815 8890 9030 9261 9717 9954 10033 10045 10191 10287 10290 10414 10535 10578 10665 10922 11070 11430 11610 11613 12005 12054 12341 12446 12642 12798 12915 13230 13335 13545 14063 14406 14749 14931 15435 15498 15621 15867 16002 16195 16254 16383 16590 16605 16985 17145 17415 17630 18081 18522 18669 18963 19355 19434 19845 20066 20090 20382 20574 21070 21330 21609 22673 23226 23247 23779 24003 24010 24381 24682 24885 25830 26035 26445 26670 27090 27097 27305 27783 28126 29151 29498 29862 30099 30135 30573 30870 31115 31242 31605 31734 31995 32390 32766 33210 33970 34290 34830 34839 36015 36162 36449 37023 37338 37926 38227 38710 38745 39690 40005 40635 42189 43218 43561 44247 44793 45346 46305 46494 46863 47558 47601 48006 48585 48762 49149 49770 50165 50955 51435 52070 52890 54194 54243 54610 55566 56007 56889 58065 58302 60198 60270 61146 61705 62230 63210 63990 64827 68019 69678 70231 70315 71337 72009 72030 72898 73745 74046 74655 76454 77490 78105 79335 80010 81270 81291 81915 84378 86387 87122 87453 88494 89586 90297 90405 91719 92610 93345 93726 94815 95202 97170 98298 98441 100330 101910 102870 103243 104517 108045 108486 109347 111069 112014 113365 113778 114681 116130 116235 118895 120015 121905 123410 126567 129654 130683 132741 135485 136038 138915 139277 140462 140589 140630 142674 142803 144018 145755 147447 147490 149310 150495 152865 156210 158670 158711 162582 162729 163830 166453 168021 170667 172774 174195 174906 180594 180810 182245 183438 185115 186690 189630 189679 191135 194481 196882 204057 206486 209034 210693 210945 214011 216090 217805 218694 221235 222138 223901 223965 226730 229362 232470 234315 237790 238005 240030 243810 243873 245745 253134 255143 259161 261366 262359 265482 267589 270891 270970 271215 275157 277830 278554 280035 281178 284445 285606 291510 294894 295323 300990 304927 305730 309729 313551 317422 324135 325458 328041 332906 333207 336042 340095 341334 344043 348390 351155 356685 360045 364490 370230 379358 379701 382270 388962 392049 398223 406455 408114 411353 417831 421386 421767 421890 428022 431419 431935 435610 437265 442341 442470 447802 447930 451485 458595 468630 476010 476133 487746 491490 491617 492205 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1062060741 1075172602 1084015485 1088440038 1101086595 1105580826 1114355277 1125180630 1141534674 1142900010 1151970645 1166185755 1180067490 1223072865 1238172530 1259847918 1269518670 1269846711 1289844297 1300818582 1321303914 1331790453 1382364774 1393734195 1410940790 1432742499 1433160330 1446660810 1479767170 1481105115 1517229630 1591936110 1612758903 1632660057 1672020385 1687770945 1712302011 1714350015 1733441542 1770101235 1777326138 1814066730 1842634710 1857258795 1902557790 1951227873 1975317106 2006424462 2025325134 2071674038 2073547161 2099746530 2116411185 2124121482 2149740495 2168030970 2202173190 2219650755 2228710554 2303941290 2332371510 2387904165 2446145730 2539693422 2579688594 2600162313 2663580906 2687931505 2721100095 2763952065 2787468390 2853836685 2865484998 2962210230 2962975659 3009636693 3107511057 3149619795 3225517806 3252046455 3265320114 3303259785 3343065831 3344040770 3375541890 3424604022 3428700030 3455911935 3540202470 3714517590 3809540133 3869532891 3902455746 3995371359 4147094322 4232822370 4299480990 4333603855 4439301510 4443315345 4775808330 4838276709 4938292765 5016061155 5063312835 5179185095 5200324626 5310303705 5375863010 5442200190 5527904130 5571776385 5707673370 5925951318 6019273386 6067045397 6215022114 6220641483 6299239590 6349233555 6449221485 6504092910 6606519570 6658952265 6686131662 6911823870 7163712495 7619080266 7739065782 7800486939 7990742718 8063794515 8163300285 8561510055 8667207710 8886630690 8888926977 9028910079 9322533171 9676553418 9756139365 9876585530 10029197493 10032122310 10126625670 10358370190 10367735805 10620607410 11143552770 11428620399 11986114077 12134090794 12441282966 12698467110 12898442970 13000811565 13317904530 14327424990 14514830127 14814878295 15048183465 15537555285 15600973878 16127589030 16326600570 16715329155 17123020110 17777853954 18057820158 18201136191 18645066342 19047700665 19347664455 19512278730 19976856795 20058394986 20735471610 22857240798 23401460817 23972228154 24191383545 26001623130 26666780931 27086730237 27967599513 29029660254 29629756590 30096366930 30335226985 31075110570 31103207415 33430658310 36402272382 38095401330 38695328910 39002434695 39953713590 42469317779 43544490381 44444634885 45144550395 46612665855 46802921634 48382767090 50145987465 53333561862 54173460474 54603408573 55935199026 57143101995 59930570385 60670453970 62206414830 70204382451 72574150635 78004869390 80000342793 83902798539 84938635558 87088980762 88889269770 90289100790 91005680955 93225331710 100291974930 109206817146 114286203990 117007304085 119861140770 127407953337 133333904655 135433651185 139837997565 140408764902 145148301270 160000685586 163810225719 167805597078 182011361910 212346588895 217722451905 234014608170 254815906674 266667809310 270867302370 273017042865 279675995130 327620451438 351021912255 382223860011 400001713965 419513992695 424693177790 435444903810 491430677157 546034085730 637039766685 702043824510 764447720022 800003427930 819051128595 839027985390 982861354314 1146671580033 1274079533370 1638102257190 1911119300055 2293343160066 2457153385785 3440014740099 3822238600110 4914306771570 5733357900165 6880029480198 11466715800330 17200073700495 34400147400990
• Sum of all divisors σ(n): 115444409794560
• Sum of proper divisors (its aliquot sum) s(n): 81044262393570
• 34400147400990 is an abundant number, because the sum of its proper divisors (81044262393570) is greater than itself. Its abundance is 46644114992580

Bases of 34400147400990

• Binary: 111110100100101101000100100001110100100011110₂
• Hexadecimal: 0x1F496890E91E
• Base-36: C6Z7JKRVI

Squares and roots of 34400147400990

• 34400147400990 squared (34400147400990²) is 1183370141209839051852980100
• 34400147400990 cubed (34400147400990³) is 40708107287548814153816499230601190299000
• The square root of 34400147400990 is 5865163.8852627127
• The cube root of 34400147400990 is 32522.7130857773

Scales and comparisons

• 34,400,147,400,990 seconds is equal to 1,093,818 years, 14 weeks, 4 days, 4 hours, 16 minutes, 30 seconds.
• To count from 1 to 34,400,147,400,990 would take you about two million, seven hundred thirty-four thousand, five hundred forty-five 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 34400147400990 cubic inches would be around 2710.2 feet tall.

Recreational maths with 34400147400990

• 34400147400990 backwards is 09900474100443
• 34400147400990 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34400147400990's digits is 45
• More coming soon!