468135467824920

Names of 468135467824920

• Cardinal: 468135467824920 can be written as Four hundred sixty-eight trillion, one hundred thirty-five billion, four hundred sixty-seven million, eight hundred twenty-four thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.6813546782492 × 10¹⁴

Factors of 468135467824920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 3078954

Divisors of 468135467824920

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 331 420 547 662 840 993 1094 1324 1641 1655 1986 2188 2317 2648 2735 3282 3310 3829 3972 4376 4634 4965 5470 6564 6620 6951 7658 7944 8205 9268 9930 10940 11487 11585 13128 13240 13902 15316 16410 18536 19145 19860 21880 22974 23170 27804 30632 32820 34755 38290 39720 45948 46340 55608 57435 65640 69510 76580 91896 92680 114870 139020 153160 181057 229740 278040 362114 459480 543171 724228 905285 1086342 1267399 1448456 1810570 2172684 2534798 2715855 3078059 3621140 3802197 4345368 5069596 5431710 6156118 6336995 7242280 7604394 9234177 10139192 10863420 12312236 12673990 15208788 15390295 18468354 19010985 21546413 21726840 24624472 25347980 30417576 30780590 36936708 38021970 43092826 46170885 50695960 61561180 64639239 73873416 76043940 86185652 92341770 107732065 123122360 129278478 152087880 172371304 184683540 215464130 258556956 323196195 369367080 430928260 517113912 646392390 861856520 1018837529 1292784780 1683698273 2037675058 2585569560 3056512587 3367396546 4075350116 5051094819 5094187645 6113025174 6734793092 7131862703 8150700232 8418491365 10102189638 10188375290 11785887911 12226050348 13469586184 14263725406 15282562935 16836982730 20204379276 20376750580 21395588109 23571775822 24452100696 25255474095 28527450812 30565125870 33673965460 35357663733 35659313515 40408758552 40753501160 42791176218 47143551644 50510948190 57054901624 58929439555 61130251740 67347930920 70715327466 71318627030 85582352436 94287103288 101021896380 106977940545 117858879110 122260503480 141430654932 142637254060 171164704872 176788318665 202043792760 213955881090 235717758220 282861309864 285274508120 353576637330 427911762180 471435516440 557304128363 707153274660 855823524360 1114608256726 1414306549320 1671912385089 2229216513452 2786520641815 3343824770178 3901128898541 4458433026904 5573041283630 6687649540356 7802257797082 8359561925445 11146082567260 11703386695623 13375299080712 15604515594164 16719123850890 19505644492705 22292165134520 23406773391246 31209031188328 33438247701780 39011288985410 46813546782492 58516933478115 66876495403560 78022577970820 93627093564984 117033866956230 156045155941640 234067733912460 468135467824920
• Sum of all divisors σ(n): 1612828581580800
• Sum of proper divisors (its aliquot sum) s(n): 1144693113755880
• 468135467824920 is an abundant number, because the sum of its proper divisors (1144693113755880) is greater than itself. Its abundance is 676557645930960

Bases of 468135467824920

• Binary: 1101010011100010001001000010001000011011100011000₂
• Hexadecimal: 0x1A9C448443718
• Base-36: 4LXUGQN5SO

Squares and roots of 468135467824920

• 468135467824920 squared (468135467824920²) is 219150816235656708555773006400
• 468135467824920 cubed (468135467824920³) is 102592269882692226640557623918886257239488000
• The square root of 468135467824920 is 21636438.4274519637
• The cube root of 468135467824920 is 77646.8512371319

Scales and comparisons

• 468,135,467,824,920 seconds is equal to 14,885,259 years, 43 weeks, 4 days, 7 hours, 22 minutes.
• To count from 1 to 468,135,467,824,920 would take you about thirty-seven million, two hundred thirteen thousand, one hundred forty-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 468135467824920 cubic inches would be around 6470.6 feet tall.

Recreational maths with 468135467824920

• 468135467824920 backwards is 029428764531864
• The number of decimal digits it has is: 15
• The sum of 468135467824920's digits is 69
• More coming soon!