742048426561074472000

Names of 742048426561074472000

• Cardinal: 742048426561074472000 can be written as Seven hundred forty-two quintillion, forty-eight quadrillion, four hundred twenty-six trillion, five hundred sixty-one billion, seventy-four million, four hundred seventy-two thousand.

Scientific notation

• Scientific notation: 7.42048426561074472 × 10²⁰

Factors of 742048426561074472000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 64681

Divisors of 742048426561074472000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 320 343 350 392 400 448 490 500 560 686 700 784 800 875 980 1000 1120 1225 1372 1400 1568 1600 1715 1750 1960 2000 2240 2450 2744 2800 3136 3430 3500 3920 4000 4900 5488 5600 6125 6860 7000 7840 8000 8575 9800 10976 11200 12250 13720 14000 15680 17150 19600 21952 24500 27440 28000 34300 39200 42875 49000 54880 56000 64667 68600 78400 85750 98000 109760 129334 137200 171500 196000 258668 274400 323335 343000 392000 452669 517336 548800 646670 686000 905338 1034672 1293340 1372000 1616675 1810676 2069344 2263345 2586680 2744000 3168683 3233350 3621352 4138688 4526690 5173360 6337366 6466700 7242704 8083375 9053380 10346720 11316725 12674732 12933400 14485408 15843415 16166750 18106760 20693440 22180781 22633450 25349464 25866800 28970816 31686830 32333500 36213520 44361562 45266900 50698928 51733600 56583625 63373660 64667000 72427040 79217075 88723124 90533800 101397856 103467200 110903905 113167250 126747320 129334000 144854080 158434150 177446248 181067600 202795712 221807810 226334500 253494640 258668000 316868300 354892496 362135200 396085375 443615620 452669000 506989280 517336000 554519525 633736600 709784992 724270400 792170750 887231240 905338000 1013978560 1109039050 1267473200 1419569984 1584341500 1774462480 1810676000 2218078100 2534946400 2772597625 3168683000 3548924960 3621352000 4181820889 4436156200 5069892800 5545195250 6337366000 7097849920 8363641778 8872312400 11090390500 12674732000 16727283556 17744624800 20909104445 22180781000 25349464000 29272746223 33454567112 35489249600 41818208890 44361562000 58545492446 66909134224 83636417780 88723124000 104545522225 117090984892 133818268448 146363731115 167272835560 177446248000 204909223561 209091044450 234181969784 267636536896 292727462230 334545671120 409818447122 418182088900 468363939568 522727611125 585454924460 669091342240 731818655575 819636894244 836364177800 936727879136 1024546117805 1045455222250 1170909848920 1338182684480 1434364564927 1463637311150 1639273788488 1672728355600 1873455758272 2049092235610 2090910444500 2341819697840 2868729129854 2927274622300 3278547576976 3345456711200 3659093277875 4098184471220 4181820889000 4683639395680 5122730589025 5737458259708 5854549244600 6557095153952 6690913422400 7171822824635 7318186555750 8196368942440 8363641778000 9367278791360 10245461178050 11474916519416 11709098489200 13114190307904 14343645649270 14636373111500 16392737884880 16727283556000 20490922356100 22949833038832 23418196978400 25613652945125 28687291298540 29272746223000 32785475769760 33454567112000 35859114123175 40981844712200 45899666077664 46836393956800 51227305890250 57374582597080 58545492446000 65570951539520 71718228246350 81963689424400 91799332155328 102454611780500 114749165194160 117090984892000 143436456492700 163927378848800 179295570615875 204909223561000 229498330388320 234181969784000 286872912985400 327854757697600 358591141231750 409818447122000 458996660776640 573745825970800 717182282463500 819636894244000 1147491651941600 1434364564927000 1639273788488000 2294983303883200 2868729129854000 5737458259708000 11474916519416000
• Sum of all divisors σ(n): 742070092251217169600
• Sum of proper divisors (its aliquot sum) s(n): 21665690142697600
• 742048426561074472000 is a deficient number, because the sum of its proper divisors (21665690142697600) is less than itself. Its deficiency is 742026760870931774400

Bases of 742048426561074472000

• Binary: 1010000011100111111101100110000110101010001110011000011010010001000000₂
• Hexadecimal: 0x2839FD986A8E61A440
• Base-36: 4CLQHXSXE3F29S

Squares and roots of 742048426561074472000

• 742048426561074472000 squared (742048426561074472000²) is 550635867361766333947566707130078784000000
• 742048426561074472000 cubed (742048426561074472000³) is 408598478983891209229847320362884604810981573051202048000000000
• The square root of 742048426561074472000 is 27240565826.7421910761
• 742048426561074472000 is a perfect cube number. Its cube root is 9053380

Scales and comparisons

• 742,048,426,561,074,472,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 742,048,426,561,074,472,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 742048426561074472000 cubic inches would be around 754448.3 feet tall.

Recreational maths with 742048426561074472000

• 742048426561074472000 backwards is 000274470165624840247
• The number of decimal digits it has is: 21
• The sum of 742048426561074472000's digits is 73
• More coming soon!