513978972040000

Names of 513978972040000

• Cardinal: 513978972040000 can be written as Five hundred thirteen trillion, nine hundred seventy-eight billion, nine hundred seventy-two million, forty thousand.

Scientific notation

• Scientific notation: 5.1397897204 × 10¹⁴

Factors of 513978972040000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 994

Divisors of 513978972040000

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 127 155 160 200 248 250 254 310 320 400 496 500 508 620 625 635 775 800 829 961 992 1000 1016 1240 1250 1270 1550 1600 1658 1922 1984 2000 2032 2480 2500 2540 3100 3175 3316 3844 3875 3937 4000 4064 4145 4805 4960 5000 5080 6200 6350 6632 7688 7750 7874 8000 8128 8290 9610 9920 10000 10160 12400 12700 13264 15376 15500 15748 15875 16129 16580 19220 19375 19685 20000 20320 20725 24025 24800 25400 25699 26528 30752 31000 31496 31750 32258 33160 38440 38750 39370 40000 40640 41450 48050 49600 50800 51398 53056 61504 62000 62992 63500 64516 66320 76880 77500 78740 79375 80645 82900 96100 98425 101600 102796 103625 105283 120125 122047 124000 125984 127000 128495 129032 132640 153760 155000 157480 158750 161290 165800 192200 196850 203200 205592 207250 210566 240250 244094 248000 251968 254000 256990 258064 265280 307520 310000 314960 317500 322580 331600 384400 393700 403225 411184 414500 421132 480500 488188 492125 499999 508000 513980 516128 518125 526415 600625 610235 620000 629920 635000 642475 645160 663200 768800 787400 796669 806450 822368 829000 842264 961000 976376 984250 999998 1016000 1027960 1032256 1036250 1052830 1201250 1220470 1240000 1259840 1270000 1284950 1290320 1326400 1537600 1574800 1593338 1612900 1644736 1658000 1684528 1922000 1952752 1968500 1999996 2016125 2055920 2072500 2105660 2402500 2440940 2460625 2499995 2540000 2569900 2580640 2632075 3051175 3149600 3186676 3212375 3225800 3263773 3316000 3369056 3844000 3905504 3937000 3983345 3999992 4032250 4111840 4145000 4211320 4805000 4881880 4921250 4999990 5080000 5139800 5161280 5264150 6102350 6299200 6373352 6424750 6451600 6527546 6632000 6738112 7688000 7811008 7874000 7966690 7999984 8064500 8223680 8290000 8422640 9610000 9763760 9842500 9999980 10080625 10279600 10528300 12204700 12499975 12746704 12849500 12903200 13055092 13160375 13370941 15255875 15499969 15748000 15933380 15999968 16061875 16129000 16318865 16580000 16845280 19220000 19527520 19685000 19916725 19999960 20161250 20559200 21056600 24409400 24999950 25493408 25699000 25806400 26110184 26320750 26741882 30511750 30999938 31496000 31866760 31999936 32123750 32258000 32637730 33160000 33690560 38440000 39055040 39370000 39833450 39999920 40322500 41118400 42113200 48818800 49999900 50986816 51398000 52220368 52641500 53483764 61023500 61999876 62499875 63733520 64247500 64516000 65275460 65801875 66854705 76279375 77499845 78740000 79666900 79999840 80645000 81594325 84226400 97637600 99583625 99999800 101176963 102796000 104440736 105283000 106967528 122047000 123999752 124999750 127467040 128495000 129032000 130550920 131603750 133709410 152558750 154999690 157480000 159333800 159999680 161290000 163188650 168452800 195275200 199167250 199999600 202353926 205592000 208881472 210566000 213935056 244094000 247999504 249999500 254934080 256990000 261101840 263207500 267418820 305117500 309999380 312499375 318667600 322580000 326377300 334273525 387499225 398334500 399999200 404707852 407971625 414499171 421132000 427870112 488188000 495999008 497918125 499999000 505884815 513980000 522203680 526415000 534837640 610235000 619998760 624998750 637335200 645160000 652754600 668547050 774998450 796669000 799998400 809415704 815943250 828998342 842264000 855740224 976376000 991998016 995836250 999998000 1011769630 1027960000 1044407360 1052830000 1069675280 1220470000 1239997520 1249997500 1274670400 1305509200 1337094100 1549996900 1593338000 1618831408 1631886500 1657996684 1671367625 1937496125 1991672500 1999996000 2023539260 2039858125 2072495855 2105660000 2139350560 2440940000 2479995040 2499995000 2529424075 2611018400 2674188200 3099993800 3186676000 3237662816 3263773000 3315993368 3342735250 3874992250 3983345000 3999992000 4047078520 4079716250 4144991710 4211320000 4278701120 4881880000 4959990080 4999990000 5058848150 5222036800 5348376400 6199987600 6373352000 6475325632 6527546000 6631986736 6685470500 7749984500 7966690000 8094157040 8159432500 8289983420 8356838125 9687480625 9999980000 10117696300 10362479275 10696752800 12399975200 12647120375 12849474301 13055092000 13263973472 13370941000 15499969000 15933380000 16188314080 16318865000 16579966840 16713676250 19374961250 19999960000 20235392600 20724958550 21393505600 24799950400 25294240750 25698948602 26110184000 26527946944 26741882000 30999938000 31866760000 32376628160 32637730000 33159933680 33427352500 38749922500 40470785200 41449917100 50588481500 51397897204 51812396375 53483764000 61999876000 63235601875 64247371505 65275460000 66319867360 66854705000 77499845000 80941570400 82899834200 101176963000 102795794408 103624792750 106967528000 123999752000 126471203750 128494743010 130550920000 132639734720 133709410000 154999690000 161883140800 165799668400 202353926000 205591588816 207249585500 252942407500 256989486020 259061981875 267418820000 309999380000 321236857525 331599336800 404707852000 411183177632 414499171000 505884815000 513978972040 518123963750 534837640000 619998760000 642473715050 663198673600 809415704000 822366355264 828998342000 1011769630000 1027957944080 1036247927500 1284947430100 1606184287625 1657996684000 2023539260000 2055915888160 2072495855000 2569894860200 3212368575250 3315993368000 4047078520000 4111831776320 4144991710000 5139789720400 6424737150500 8030921438125 8289983420000 10279579440800 12849474301000 16061842876250 16579966840000 20559158881600 25698948602000 32123685752500 51397897204000 64247371505000 102795794408000 128494743010000 256989486020000 513978972040000
• Sum of all divisors σ(n): 1328992412397210
• Sum of proper divisors (its aliquot sum) s(n): 815013440357210
• 513978972040000 is an abundant number, because the sum of its proper divisors (815013440357210) is greater than itself. Its abundance is 301034468317210

Bases of 513978972040000

• Binary: 1110100110111011000001110000011001110101101000000₂
• Hexadecimal: 0x1D3760E0CEB40
• Base-36: 526UOHEPTS

Squares and roots of 513978972040000

• 513978972040000 squared (513978972040000²) is 264174383699295101761600000000
• 513978972040000 cubed (513978972040000³) is 135780078173064228876034361145664000000000000
• The square root of 513978972040000 is 22671104.3409887733
• The cube root of 513978972040000 is 80102.9389482665

Scales and comparisons

• 513,978,972,040,000 seconds is equal to 16,342,941 years, 24 weeks, 2 days, 21 hours, 46 minutes, 40 seconds.
• To count from 1 to 513,978,972,040,000 would take you about forty million, eight hundred fifty-seven thousand, three hundred fifty-three 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 513978972040000 cubic inches would be around 6675.2 feet tall.

Recreational maths with 513978972040000

• 513978972040000 backwards is 000040279879315
• The number of decimal digits it has is: 15
• The sum of 513978972040000's digits is 55
• More coming soon!