34142187061440

Names of 34142187061440

• Cardinal: 34142187061440 can be written as Thirty-four trillion, one hundred forty-two billion, one hundred eighty-seven million, sixty-one thousand, four hundred forty.

Scientific notation

• Scientific notation: 3.414218706144 × 10¹³

Factors of 34142187061440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1539

Divisors of 34142187061440

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 64 72 76 80 81 90 95 96 108 114 120 135 144 152 160 162 171 180 190 192 216 228 233 240 270 285 288 304 320 324 342 360 380 405 432 456 466 480 513 540 570 576 608 648 684 699 720 760 810 855 864 912 932 960 1026 1080 1140 1165 1216 1277 1296 1368 1398 1440 1520 1539 1620 1710 1728 1824 1864 2052 2097 2160 2280 2330 2554 2565 2592 2736 2796 2880 3040 3078 3240 3420 3495 3648 3728 3831 4104 4194 4320 4427 4560 4660 5108 5130 5184 5472 5592 6080 6156 6291 6385 6480 6840 6990 7456 7662 7695 8208 8388 8640 8854 9120 9320 10216 10260 10485 10944 11184 11493 12312 12582 12770 12960 13281 13680 13980 14912 15324 15390 16416 16776 17708 18240 18640 18873 19155 20432 20520 20970 22135 22368 22986 24263 24624 25164 25540 25920 26562 27360 27960 30648 30780 31455 32832 33552 34479 35416 37280 37746 38310 39843 40864 41040 41940 44270 44736 45972 48526 49248 50328 51080 53124 54289 54720 55920 57465 61296 61560 62910 66405 67104 68958 70832 72789 74560 75492 76620 79686 81728 82080 83880 88540 91944 94365 97052 98496 100656 102160 103437 106248 108578 111840 114930 119529 121315 122592 123120 125820 132810 134208 137916 141664 145578 150984 153240 159372 162867 164160 167760 172395 177080 183888 188730 194104 199215 201312 204320 206874 212496 217156 218367 223680 229860 239058 242630 245184 246240 251640 265620 271445 275832 283328 291156 297541 301968 306480 318744 325734 335520 344790 354160 358587 363945 367776 377460 388208 398430 402624 408640 413748 424992 434312 436734 459720 478116 485260 488601 492480 503280 517185 531240 542890 551664 582312 595082 597645 603936 612960 637488 651468 655101 671040 689580 708320 717174 727890 735552 754920 776416 796860 814335 827496 849984 868624 873468 892623 919440 956232 970520 977202 1006560 1031491 1034370 1062480 1085780 1091835 1103328 1164624 1190164 1195290 1207872 1225920 1274976 1302936 1310202 1379160 1416640 1434348 1455780 1465803 1487705 1509840 1552832 1593720 1628670 1654992 1737248 1746936 1785246 1792935 1838880 1912464 1941040 1954404 1965303 2013120 2062982 2068740 2124960 2171560 2183670 2206656 2329248 2380328 2390580 2443005 2549952 2605872 2620404 2677869 2758320 2868696 2911560 2931606 2975410 3019680 3094473 3187440 3257340 3275505 3309984 3474496 3493872 3570492 3585870 3677760 3824928 3882080 3908808 3930606 4125964 4137480 4249920 4343120 4367340 4397409 4463115 4658496 4760656 4781160 4886010 5157455 5211744 5240808 5355738 5516640 5653279 5737392 5823120 5863212 5950820 6039360 6188946 6374880 6514680 6551010 6619968 6987744 7140984 7171740 7329015 7649856 7764160 7817616 7861212 8033607 8251928 8274960 8686240 8734680 8794818 8926230 9283419 9521312 9562320 9772020 9826515 10314910 10423488 10481616 10711476 11033280 11306558 11474784 11646240 11726424 11901640 12377892 12749760 13029360 13102020 13389345 13975488 14281968 14343480 14658030 15472365 15635232 15722424 16067214 16503856 16549920 16959837 17372480 17469360 17589636 17852460 18566838 19042624 19124640 19544040 19653030 20629820 20963232 21422952 21987045 22613116 22949568 23292480 23452848 23803280 24100821 24755784 26058720 26204040 26778690 27850257 28266395 28563936 28686960 29316060 30944730 31270464 31444848 32134428 33007712 33099840 33919674 34938720 35179272 35704920 37133676 38249280 39088080 39306060 40168035 41259640 41926464 42845904 43974090 45226232 46417095 46905696 47606560 48201642 49511568 50879511 52117440 52408080 53557380 55700514 56532790 57127872 57373920 58632120 61889460 62889696 64268856 66015424 67839348 69327053 69877440 70358544 71409840 74267352 78176160 78612120 80336070 82519280 83550771 84799185 85691808 87948180 90452464 92834190 93811392 95213120 96403284 99023136 101759022 104816160 107114760 111401028 113065580 114747840 117264240 120504105 123778920 125779392 128537712 135678696 138654106 139251285 140717088 142819680 148534704 152638533 156352320 157224240 160672140 165038560 167101542 169598370 171383616 175896360 180904928 185668380 192806568 198046272 203518044 207981159 209632320 214229520 222802056 226131160 234528480 241008210 247557840 254397555 257075424 271357392 277308212 278502570 281434176 285639360 297069408 305277066 314448480 321344280 330077120 334203084 339196740 346635265 351792720 361809856 371336760 385613136 407036088 415962318 417753855 428459040 445604112 452262320 457915599 469056960 482016420 495115680 508795110 514150848 542714784 554616424 557005140 594138816 610554132 623943477 628896960 642688560 668406168 678393480 693270530 703585440 742673520 763192665 771226272 814072176 831924636 835507710 856918080 891208224 904524640 915831198 964032840 990231360 1017590220 1039905795 1085429568 1109232848 1114010280 1221108264 1247886954 1285377120 1317214007 1336812336 1356786960 1386541060 1407170880 1485347040 1526385330 1542452544 1628144352 1663849272 1671015420 1782416448 1809049280 1831662396 1871830431 1928065680 2035180440 2079811590 2218465696 2228020560 2289577995 2442216528 2495773908 2570754240 2634428014 2673624672 2713573920 2773082120 2970694080 3052770660 3119717385 3256288704 3327698544 3342030840 3663324792 3743660862 3856131360 3951642021 4070360880 4159623180 4436931392 4456041120 4579155990 4884433056 4991547816 5268856028 5347249344 5427147840 5546164240 5615491293 6105541320 6239434770 6586070035 6655397088 6684061680 7326649584 7487321724 7712262720 7903284042 8140721760 8319246360 8912082240 9158311980 9359152155 9768866112 9983095632 10537712056 11092328480 11230982586 11854926063 12211082640 12478869540 13172140070 13310794176 13368123360 14653299168 14974643448 15806568084 16281443520 16638492720 18316623960 18718304310 19758210105 19966191264 21075424112 22184656960 22461965172 23709852126 24422165280 24957739080 26344280140 26736246720 28077456465 29306598336 29949286896 31613136168 33276985440 35564778189 36633247920 37436608620 39516420210 39932382528 42150848224 44923930344 47419704252 48844330560 49915478160 52688560280 56154912930 59274630315 59898573792 63226272336 66553970880 71129556378 73266495840 74873217240 79032840420 84301696448 89847860688 94839408504 99830956320 105377120560 106694334567 112309825860 118549260630 119797147584 126452544672 142259112756 146532991680 149746434480 158065680840 177823890945 179695721376 189678817008 199661912640 210754241120 213388669134 224619651720 237098521260 252905089344 284518225512 299492868960 316131361680 355647781890 359391442752 379357634016 421508482240 426777338268 449239303440 474197042520 533471672835 569036451024 598985737920 632262723360 711295563780 758715268032 853554676536 898478606880 948394085040 1066943345670 1138072902048 1264525446720 1422591127560 1707109353072 1796957213760 1896788170080 2133886691340 2276145804096 2845182255120 3414218706144 3793576340160 4267773382680 5690364510240 6828437412288 8535546765360 11380729020480 17071093530720 34142187061440
• Sum of all divisors σ(n): 128493433751760
• Sum of proper divisors (its aliquot sum) s(n): 94351246690320
• 34142187061440 is an abundant number, because the sum of its proper divisors (94351246690320) is greater than itself. Its abundance is 60209059628880

Bases of 34142187061440

• Binary: 111110000110101011000111011101000000011000000₂
• Hexadecimal: 0x1F0D58EE80C0
• Base-36: C3OPCNG00

Squares and roots of 34142187061440

• 34142187061440 squared (34142187061440²) is 1165688937338360942334873600
• 34142187061440 cubed (34142187061440³) is 39799169754057529876762367369617833984000
• The square root of 34142187061440 is 5843131.6142493317
• The cube root of 34142187061440 is 32441.2150965699

Scales and comparisons

• 34,142,187,061,440 seconds is equal to 1,085,615 years, 48 weeks, 6 days, 2 hours, 24 minutes.
• To count from 1 to 34,142,187,061,440 would take you about two million, seven hundred fourteen thousand and thirty-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 34142187061440 cubic inches would be around 2703.4 feet tall.

Recreational maths with 34142187061440

• 34142187061440 backwards is 04416078124143
• 34142187061440 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34142187061440's digits is 45
• More coming soon!