45121008128000

Names of 45121008128000

• Cardinal: 45121008128000 can be written as Forty-five trillion, one hundred twenty-one billion, eight million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.5121008128 × 10¹³

Factors of 45121008128000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 8287

Divisors of 45121008128000

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 53 56 58 64 70 80 100 106 112 116 125 128 140 145 160 175 200 203 212 224 232 250 256 265 280 290 320 350 371 400 406 424 448 464 500 512 530 560 580 640 700 725 742 800 812 848 875 896 928 1000 1015 1024 1060 1120 1160 1280 1325 1400 1450 1484 1537 1600 1624 1696 1750 1792 1855 1856 2000 2030 2048 2120 2240 2320 2560 2650 2800 2900 2968 3074 3200 3248 3392 3500 3584 3625 3710 3712 4000 4060 4096 4240 4480 4640 5075 5120 5300 5600 5800 5936 6148 6400 6496 6625 6784 7000 7168 7250 7420 7424 7685 8000 8120 8191 8480 8960 9275 9280 10150 10240 10600 10759 11200 11600 11872 12296 12800 12992 13250 13568 14000 14336 14500 14840 14848 15370 16000 16240 16382 16960 17920 18550 18560 20300 20480 21200 21518 22400 23200 23744 24592 25375 25600 25984 26500 27136 28000 28672 29000 29680 29696 30740 32000 32480 32764 33920 35840 37100 37120 38425 40600 40955 42400 43036 44800 46375 46400 47488 49184 50750 51200 51968 53000 53795 54272 56000 57337 58000 59360 59392 61480 64000 64960 65528 67840 71680 74200 74240 76850 81200 81910 84800 86072 89600 92750 92800 94976 98368 101500 102400 103936 106000 107590 108544 112000 114674 116000 118720 118784 122960 128000 129920 131056 135680 143360 148400 148480 153700 162400 163820 169600 172144 179200 185500 185600 189952 192125 196736 203000 204775 207872 212000 215180 217088 224000 229348 232000 237440 237539 245920 256000 259840 262112 268975 271360 286685 296800 296960 307400 324800 327640 339200 344288 358400 371000 371200 379904 384250 393472 406000 409550 415744 424000 430360 434123 448000 458696 464000 474880 475078 491840 512000 519680 524224 537950 542720 573370 593600 593920 614800 649600 655280 678400 688576 716800 742000 742400 759808 768500 786944 812000 819100 831488 848000 860720 868246 896000 917392 928000 949760 950156 983680 1023875 1039360 1048448 1075900 1085440 1146740 1187200 1187695 1229600 1299200 1310560 1344875 1356800 1377152 1433425 1484000 1484800 1519616 1537000 1573888 1624000 1638200 1662773 1696000 1721440 1736492 1792000 1834784 1856000 1899520 1900312 1967360 2047750 2078720 2096896 2151800 2170615 2293480 2374400 2375390 2459200 2598400 2621120 2689750 2713600 2754304 2866850 2968000 2969600 3038861 3074000 3147776 3248000 3276400 3325546 3392000 3442880 3472984 3584000 3669568 3712000 3799040 3800624 3934720 4095500 4157440 4193792 4303600 4341230 4586960 4748800 4750780 4918400 5196800 5242240 5379500 5427200 5508608 5733700 5936000 5938475 6077722 6148000 6295552 6496000 6552800 6651092 6784000 6885760 6945968 7167125 7339136 7424000 7598080 7601248 7869440 8191000 8313865 8387584 8607200 8682460 9173920 9497600 9501560 9836800 10393600 10484480 10759000 10853075 11017216 11467400 11872000 11876950 12155444 12296000 12589567 12992000 13105600 13302184 13568000 13771520 13891936 14334250 14678272 14848000 15194305 15202496 15738880 16382000 16627730 16775168 17214400 17364920 18347840 18995200 19003120 19673600 20787200 20968960 21518000 21706150 22034432 22934800 23744000 23753900 24310888 24592000 25179134 25984000 26211200 26604368 27136000 27543040 27783872 28668500 29356544 29692375 30388610 30404992 31477760 32764000 33255460 33550336 34428800 34729840 36695680 37990400 38006240 39347200 41569325 41937920 43036000 43412300 44068864 45869600 47488000 47507800 48621776 49184000 50358268 51968000 52422400 53208736 54265375 55086080 55567744 57337000 58713088 59384750 60777220 60809984 62947835 65528000 66510920 68857600 69459680 73391360 75971525 76012480 78694400 83138650 83875840 86072000 86824600 88126969 91739200 94976000 95015600 97243552 98368000 100716536 103936000 104844800 106417472 108530750 110172160 111135488 114674000 117426176 118769500 121554440 121619968 125895670 131056000 133021840 137715200 138919360 146782720 151943050 152024960 157388800 166277300 167751680 172144000 173649200 176253938 183478400 189952000 190031200 194487104 196736000 201433072 207846625 209689600 212834944 217061500 220344320 222270976 229348000 234852352 237539000 243108880 243239936 251791340 262112000 266043680 275430400 277838720 293565440 303886100 304049920 314739175 332554600 344288000 347298400 352507876 366956800 379857625 380062400 388974208 393472000 402866144 415693250 419379200 425669888 434123000 440634845 444541952 458696000 475078000 486217760 486479872 503582680 524224000 532087360 550860800 555677440 587130880 607772200 608099840 629478350 665109200 688576000 694596800 705015752 733913600 759715250 760124800 777948416 786944000 805732288 831386500 838758400 851339776 868246000 881269690 889083904 917392000 950156000 972435520 972959744 1007165360 1048448000 1064174720 1101721600 1111354880 1174261760 1215544400 1216199680 1258956700 1330218400 1377152000 1389193600 1410031504 1467827200 1519430500 1520249600 1555896832 1573695875 1611464576 1662773000 1702679552 1736492000 1762539380 1778167808 1834784000 1900312000 1944871040 2014330720 2096896000 2128349440 2203174225 2222709760 2431088800 2432399360 2517913400 2660436800 2754304000 2778387200 2820063008 2935654400 3038861000 3040499200 3111793664 3147391750 3222929152 3325546000 3405359104 3472984000 3525078760 3669568000 3800624000 3889742080 4028661440 4193792000 4256698880 4406348450 4445419520 4862177600 4864798720 5035826800 5320873600 5508608000 5556774400 5640126016 5871308800 6077722000 6080998400 6223587328 6294783500 6445858304 6651092000 6810718208 6945968000 7050157520 7339136000 7601248000 7779484160 8057322880 8513397760 8812696900 8890839040 9724355200 10071653600 10641747200 11015871125 11113548800 11280252032 12155444000 12161996800 12447174656 12589567000 12891716608 13302184000 13891936000 14100315040 14678272000 15202496000 15558968320 16114645760 17026795520 17625393800 19448710400 20143307200 21283494400 22031742250 22227097600 22560504064 24310888000 24323993600 25179134000 25783433216 26604368000 27783872000 28200630080 29356544000 30404992000 31117936640 32229291520 34053591040 35250787600 38897420800 40286614400 42566988800 44063484500 44454195200 45121008128 48621776000 50358268000 51566866432 53208736000 55567744000 56401260160 60809984000 62235873280 64458583040 70501575200 77794841600 80573228800 85133977600 88126969000 90242016256 97243552000 100716536000 106417472000 111135488000 112802520320 121619968000 128917166080 141003150400 155589683200 161146457600 170267955200 176253938000 180484032512 194487104000 201433072000 212834944000 222270976000 225605040640 257834332160 282006300800 311179366400 322292915200 352507876000 360968065024 388974208000 402866144000 425669888000 451210081280 564012601600 644585830400 705015752000 777948416000 805732288000 851339776000 902420162560 1128025203200 1289171660800 1410031504000 1555896832000 1611464576000 1804840325120 2256050406400 2820063008000 3222929152000 4512100812800 5640126016000 6445858304000 9024201625600 11280252032000 22560504064000 45121008128000
• Sum of all divisors σ(n): 135661454622720
• Sum of proper divisors (its aliquot sum) s(n): 90540446494720
• 45121008128000 is an abundant number, because the sum of its proper divisors (90540446494720) is greater than itself. Its abundance is 45419438366720

Bases of 45121008128000

• Binary: 1010010000100110001101101010010101000000000000₂
• Hexadecimal: 0x29098DA95000
• Base-36: FZSAZ8ZCW

Squares and roots of 45121008128000

• 45121008128000 squared (45121008128000²) is 2035905374487042064384000000
• 45121008128000 cubed (45121008128000³) is 91862102950068708817748363313152000000000
• The square root of 45121008128000 is 6717217.2905154705
• The cube root of 45121008128000 is 35600.7869539459

Scales and comparisons

• 45,121,008,128,000 seconds is equal to 1,434,708 years, 25 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 45,121,008,128,000 would take you about three million, five hundred eighty-six thousand, seven hundred seventy-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 45121008128000 cubic inches would be around 2966.7 feet tall.

Recreational maths with 45121008128000

• 45121008128000 backwards is 00082180012154
• 45121008128000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 45121008128000's digits is 32
• More coming soon!