34131368001078400

Names of 34131368001078400

• Cardinal: 34131368001078400 can be written as Thirty-four quadrillion, one hundred thirty-one trillion, three hundred sixty-eight billion, one million, seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 3.41313680010784 × 10¹⁶

Factors of 34131368001078400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 25260

Divisors of 34131368001078400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 170 200 208 221 260 272 313 320 325 340 400 416 425 442 520 544 626 640 650 680 800 832 850 884 1040 1088 1105 1252 1300 1360 1565 1600 1664 1700 1768 2080 2176 2210 2504 2600 2720 3130 3200 3400 3536 4069 4160 4420 5008 5200 5321 5440 5525 6260 6800 7072 7825 8138 8320 8840 10016 10400 10642 10880 11050 11489 12520 13421 13600 14144 15650 16276 17680 20032 20345 20800 21284 22100 22978 25040 26605 26842 27200 28288 31300 32552 35360 40064 40690 41600 42568 44200 45956 50080 53210 53684 54400 57445 62600 65104 67105 69173 70720 81380 85136 88400 91912 100160 101725 106420 107368 114890 125200 130208 133025 134210 138346 141440 149357 162760 170272 174473 176800 183824 195313 200320 203450 212840 214736 228157 229780 250400 260416 266050 268420 276692 287225 298714 325520 335525 340544 345865 348946 353600 367648 390626 406900 425680 429472 456314 459560 500800 520832 532100 536840 553384 574450 597428 651040 671050 681088 691730 697892 707200 735296 746785 781252 813800 851360 858944 872365 912628 919120 976565 1001600 1064200 1073680 1106768 1140785 1148900 1194856 1302080 1342100 1383460 1395784 1470592 1493570 1562504 1627600 1702720 1717888 1729325 1744730 1825256 1838240 1953130 2128400 2147360 2213536 2281570 2297800 2389712 2539069 2604160 2684200 2766920 2791568 2966041 2987140 3125008 3255200 3405440 3458650 3489460 3596057 3650512 3676480 3733925 3906260 4200773 4256800 4294720 4361825 4427072 4563140 4595600 4779424 4882825 5078138 5368400 5533840 5583136 5703925 5932082 5974280 6250016 6510400 6917300 6978920 7192114 7301024 7352960 7467850 7812520 8401546 8513600 8589440 8723650 8854144 9126280 9191200 9558848 9765650 10156276 10736800 11067680 11166272 11407850 11864164 11948560 12500032 12695345 13020800 13834600 13957840 14384228 14602048 14830205 14935700 15625040 16803092 17027200 17447300 17980285 18252560 18382400 19117696 19531300 20312552 21003865 21473600 22135360 22332544 22815700 23728328 23897120 25000064 25390690 27669200 27915680 28768456 29204096 29660410 29871400 31250080 33606184 34894600 35960570 36505120 36764800 39062600 40625104 42007730 42947200 44270720 45631400 46748741 47456656 47794240 50781380 54610049 55338400 55831360 57536912 59320820 59742800 61132969 62500160 63476725 67212368 69789200 71413141 71921140 73010240 74151025 78125200 81250208 84015460 89901425 91262800 93497482 94913312 95588480 101562760 105019325 109220098 110676800 111662720 115073824 118641640 119485600 122265938 125000320 126953450 134424736 139578400 142826282 143842280 146020480 148302050 154193869 156250400 162500416 168030920 179802850 182525600 186994964 189826624 203125520 210038650 218440196 221353600 230147648 233743705 237283280 238971200 244531876 253906900 268849472 273050245 279156800 285652564 287684560 296604100 305664845 308387738 312500800 325000832 336061840 357065705 359605700 365051200 373989928 379653248 406251040 420077300 436880392 460295296 467487410 474566560 477942400 489063752 507813800 537698944 546100490 558313600 571305128 575369120 593208200 611329690 616775476 625001600 672123680 714131410 719211400 730102400 747979856 770969345 794728597 812502080 840154600 873760784 928370833 934974820 949133120 978127504 1015627600 1092200980 1142610256 1150738240 1168718525 1186416400 1222659380 1233550952 1344247360 1365251225 1428262820 1438422800 1495959712 1528324225 1541938690 1589457194 1625004160 1680309200 1747521568 1785328525 1856741666 1869949640 1898266240 1956255008 2004520297 2031255200 2184401960 2285220512 2301476480 2337437050 2372832800 2445318760 2467101904 2621295773 2688494720 2730502450 2856525640 2876845600 2991919424 3056648450 3083877380 3178914388 3360618400 3495043136 3570657050 3713483332 3739899280 3854846725 3912510016 3973642985 4009040594 4062510400 4368803920 4570441024 4641854165 4674874100 4745665600 4890637520 4934203808 5242591546 5461004900 5713051280 5753691200 5983838848 6113296900 6167754760 6357828776 6721236800 6990086272 7141314100 7426966664 7479798560 7709693450 7825020032 7947285970 8018081188 8125020800 8737607840 9140882048 9283708330 9349748200 9491331200 9781275040 9868407616 10022601485 10485183092 10922009800 11426102560 11507382400 12226593800 12335509520 12715657552 13106478865 13442473600 14282628200 14853933328 14959597120 15419386900 15894571940 16036162376 17475215680 18567416660 18699496400 19562550080 19736815232 19868214925 20045202970 20970366184 21844019600 22852205120 23209270825 24453187600 24671019040 25431315104 26212957730 28565256400 29707866656 29919194240 30838773800 31789143880 32072324752 34076845049 34950431360 37134833320 37398992800 39125100160 39736429850 40090405940 41940732368 43688039200 45704410240 46418541650 48262680997 48906375200 49342038080 50113007425 50862630208 52425915460 57130512800 59415733312 61677547600 63578287760 64144649504 65532394325 68153690098 74269666640 74797985600 79472859700 80180811880 83881464736 87376078400 92837083300 96525361994 97812750400 98684076160 100226014850 101725260416 104851830920 114261025600 118831466624 123355095200 127156575520 128289299008 131064788650 136307380196 148539333280 149595971200 158945719400 160361623760 167762929472 170384225245 174752156800 185674166600 193050723988 195625500800 200452029700 209703661840 228522051200 241313404985 246710190400 254313151040 256578598016 262129577300 272614760392 297078666560 317891438800 320723247520 335525858944 340768450490 371348333200 386101447976 400904059400 419407323680 482626809970 493420380800 508626302080 524259154600 545229520784 594157333120 627414852961 635782877600 641446495040 681536900980 742696666400 772202895952 801808118800 820465576949 838814647360 851921126225 965253619940 1048518309200 1090459041568 1206567024925 1254829705922 1271565755200 1282892990080 1363073801960 1485393332800 1544405791904 1603616237600 1640931153898 1677629294720 1703842252450 1930507239880 2097036618400 2180918083136 2413134049850 2509659411844 2543131510400 2726147603920 2970786665600 3088811583808 3137074264805 3207232475200 3281862307796 3407684504900 3861014479760 4102327884745 4194073236800 4361836166272 4826268099700 5019318823688 5452295207840 6177623167616 6274148529610 6414464950400 6563724615592 6815369009800 7722028959520 8204655769490 8388146473600 9652536199400 10038637647376 10666052500337 10904590415680 12548297059220 13127449231184 13630738019600 15444057919040 15685371324025 16409311538980 19305072398800 20077275294752 20511639423725 21332105000674 21809180831360 25096594118440 26254898462368 27261476039200 30888115838080 31370742648050 32818623077960 38610144797600 40154550589504 41023278847450 42664210001348 50193188236880 52509796924736 53330262501685 54522952078400 62741485296100 65637246155920 77220289595200 80309101179008 82046557694900 85328420002696 100386376473760 105019593849472 106660525003370 109045904156800 125482970592200 131274492311840 154440579190400 164093115389800 170656840005392 200772752947520 213321050006740 250965941184400 262548984623680 266651312508425 328186230779600 341313680010784 401545505895040 426642100013480 501931882368800 525097969247360 533302625016850 656372461559200 682627360021568 853284200026960 1003863764737600 1066605250033700 1312744923118400 1365254720043136 1706568400053920 2007727529475200 2133210500067400 2625489846236800 3413136800107840 4266421000134800 6826273600215680 8532842000269600 17065684000539200 34131368001078400
• Sum of all divisors σ(n): 96464901746455200
• Sum of proper divisors (its aliquot sum) s(n): 62333533745376800
• 34131368001078400 is an abundant number, because the sum of its proper divisors (62333533745376800) is greater than itself. Its abundance is 28202165744298400

Bases of 34131368001078400

• Binary: 1111001010000100100110001100001011001110000010010000000₂
• Hexadecimal: 0x79424C61670480
• Base-36: 9C2K5ZY19J4

Squares and roots of 34131368001078400

• 34131368001078400 squared (34131368001078400²) is 1164950281625038534503562946560000
• 34131368001078400 cubed (34131368001078400³) is 39761346765104110619026245795812336361570304000000
• The square root of 34131368001078400 is 184746767.2276795213
• The cube root of 34131368001078400 is 324377.8805049609

Scales and comparisons

• 34,131,368,001,078,400 seconds is equal to 1,085,271,927 years, 9 weeks, 2 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 34,131,368,001,078,400 would take you about three billion, two hundred fifty-five million, eight hundred fifteen thousand, seven hundred eighty-one 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 34131368001078400 cubic inches would be around 27031.5 feet tall.

Recreational maths with 34131368001078400

• 34131368001078400 backwards is 00487010086313143
• The number of decimal digits it has is: 17
• The sum of 34131368001078400's digits is 49
• More coming soon!