34461621809989400

Names of 34461621809989400

• Cardinal: 34461621809989400 can be written as Thirty-four quadrillion, four hundred sixty-one trillion, six hundred twenty-one billion, eight hundred nine million, nine hundred eighty-nine thousand, four hundred.

Scientific notation

• Scientific notation: 3.44616218099894 × 10¹⁶

Factors of 34461621809989400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4875

Divisors of 34461621809989400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 13 20 25 26 40 50 52 65 67 100 104 130 134 169 200 260 268 325 335 338 520 536 650 670 676 845 871 1300 1340 1352 1675 1690 1742 2089 2600 2680 2699 3350 3380 3484 4178 4225 4355 5398 6700 6760 6968 8356 8450 8710 10445 10796 11323 13400 13495 16712 16900 17420 20890 21592 21775 22646 26990 27157 33800 34840 35087 41780 43550 45292 52225 53980 54314 56615 67475 70174 83560 87100 90584 104450 107960 108628 113230 134950 135785 139963 140348 174200 175435 180833 208900 217256 226460 269900 271570 279926 280696 283075 350870 353041 361666 417800 452920 456131 539800 543140 559852 566150 678925 699815 701740 706082 723332 877175 904165 912262 1086280 1119704 1132300 1357850 1399630 1403480 1412164 1446664 1754350 1765205 1808330 1819519 1824524 2264600 2280655 2350829 2715700 2799260 2824328 3499075 3508700 3530410 3616660 3639038 3649048 4520825 4561310 4701658 5431400 5598520 5638211 6998150 7017400 7060820 7233320 7278076 7284601 8826025 9041650 9097595 9122620 9403316 11276422 11403275 11754145 13996300 14121640 14556152 14569202 17652050 18083300 18195190 18245240 18806632 22552844 22806550 23508290 23653747 27992600 28191055 29138404 30560777 35304100 36166600 36390380 36423005 45105688 45487975 45613100 47016580 47307494 56382110 58276808 58770725 61121554 70608200 72780760 72846010 73296743 90975950 91226200 94033160 94614988 94699813 112764220 117541450 118268735 122243108 140955275 145692020 146593486 152803885 181951900 182115025 189229976 189399626 225528440 235082900 236537470 244486216 281910550 291384040 293186972 305607770 363903800 364230050 366483715 377760137 378799252 470165800 473074940 473499065 488068267 563821100 586373944 591343675 611215540 728460100 732967430 755520274 757598504 764019425 946149880 946998130 952857659 976136534 1127642200 1182687350 1222431080 1231097569 1456920200 1465934860 1511040548 1528038850 1832418575 1888800685 1893996260 1905715318 1952273068 2365374700 2367495325 2440341335 2462195138 2931869720 3022081096 3056077700 3664837150 3777601370 3787992520 3811430636 3904546136 4730749400 4734990650 4764288295 4880682670 4910881781 4924390276 6112155400 6155487845 6344887471 7329674300 7555202740 7622861272 9444003425 9469981300 9528576590 9761365340 9821763562 9848780552 12201706675 12310975690 12689774942 14659348600 15110405480 15217531489 18888006850 18939962600 19057153180 19522730680 19643527124 23821441475 24403413350 24554408905 24621951380 25379549884 30435062978 30777439225 31724437355 37776013700 38114306360 39287054248 47642882950 48806826700 49108817810 49243902760 50759099768 60870125956 61554878450 63448874710 63841463153 75552027400 76087657445 82483537123 95285765900 97613653400 98217635620 121740251912 122772044525 123109756900 126897749420 127682926306 152175314890 158622186775 164967074246 190571531800 196435271240 197827909357 245544089050 246219513800 253795498840 255365852612 304350629780 317244373550 319207315765 329934148492 380438287225 395655818714 412417685615 491088178100 510731705224 608701259560 634488747100 638414631530 659868296984 760876574450 791311637428 824835371230 982176356200 989139546785 1019574609763 1268977494200 1276829263060 1521753148900 1582623274856 1596036578825 1649670742460 1978279093570 2039149219526 2062088428075 2553658526120 2571762821641 3043506297800 3192073157650 3299341484920 3956558187140 4078298439052 4124176856150 4945697733925 5097873048815 5143525643282 6384146315300 7913116374280 8156596878104 8248353712300 9891395467850 10195746097630 10287051286564 12768292630600 12858814108205 13254469926919 16496707424600 19782790935700 20391492195260 20574102573128 25489365244075 25717628216410 26508939853838 39565581871400 40782984390520 50978730488150 51435256432820 53017879707676 64294070541025 66272349634595 101957460976300 102870512865640 106035759415352 128588141082050 132544699269190 172308109049947 203914921952600 257176282164100 265089398538380 331361748172975 344616218099894 514352564328200 530178797076760 662723496345950 689232436199788 861540545249735 1325446992691900 1378464872399576 1723081090499470 2650893985383800 3446162180998940 4307702726248675 6892324361997880 8615405452497350 17230810904994700 34461621809989400
• Sum of all divisors σ(n): 88130442305921400
• Sum of proper divisors (its aliquot sum) s(n): 53668820495932000
• 34461621809989400 is an abundant number, because the sum of its proper divisors (53668820495932000) is greater than itself. Its abundance is 19207198685942600

Bases of 34461621809989400

• Binary: 1111010011011101010100110010110010111100100011100011000₂
• Hexadecimal: 0x7A6EA9965E4718
• Base-36: 9FBMII4YK9K

Squares and roots of 34461621809989400

• 34461621809989400 squared (34461621809989400²) is 1187603377774737089717628112360000
• 34461621809989400 cubed (34461621809989400³) is 40926738465138960362224527485223499713608984000000
• The square root of 34461621809989400 is 185638416.8484244533
• The cube root of 34461621809989400 is 325420.7467719307

Scales and comparisons

• 34,461,621,809,989,400 seconds is equal to 1,095,772,976 years, 39 weeks, 4 days, 13 hours, 3 minutes, 20 seconds.
• To count from 1 to 34,461,621,809,989,400 would take you about three billion, two hundred eighty-seven million, three hundred eighteen thousand, nine hundred thirty 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 34461621809989400 cubic inches would be around 27118.4 feet tall.

Recreational maths with 34461621809989400

• 34461621809989400 backwards is 00498990812616443
• The number of decimal digits it has is: 17
• The sum of 34461621809989400's digits is 74
• More coming soon!