1338393341215008

Names of 1338393341215008

• Cardinal: 1338393341215008 can be written as One quadrillion, three hundred thirty-eight trillion, three hundred ninety-three billion, three hundred forty-one million, two hundred fifteen thousand and eight.

Scientific notation

• Scientific notation: 1.338393341215008 × 10¹⁵

Factors of 1338393341215008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 666

Divisors of 1338393341215008

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 71 72 78 96 104 108 117 142 144 156 208 213 216 234 284 288 312 351 416 426 432 468 568 577 624 639 702 852 864 923 936 1136 1154 1248 1278 1404 1704 1731 1846 1872 1917 2272 2308 2556 2769 2808 3408 3462 3692 3744 3834 4616 5041 5112 5193 5538 5616 6816 6924 7384 7501 7668 8307 9232 10082 10224 10386 11076 11232 13848 14768 15002 15123 15336 15579 16614 18464 20164 20448 20772 22152 22503 24921 27696 29536 30004 30246 30672 31158 33228 40328 40967 41544 44304 45006 45369 49842 55392 60008 60492 61344 62316 65533 66456 67509 80656 81934 83088 88608 90012 90738 99684 120016 120984 122901 124632 131066 132912 135018 136107 161312 163868 166176 180024 181476 196599 199368 202527 240032 241968 245802 249264 262132 265824 270036 272214 327736 332929 357911 360048 362952 368703 393198 398736 405054 483936 491604 498528 524264 532571 540072 544428 589797 655472 665858 715822 720096 725904 737406 786396 797472 810108 983208 998787 1048528 1065142 1073733 1080144 1088856 1106109 1179594 1310944 1331716 1431644 1451808 1474812 1572792 1597713 1620216 1769391 1966416 1997574 2097056 2130284 2147466 2160288 2177712 2212218 2359188 2663432 2863288 2908657 2949624 2996361 3145584 3195426 3221199 3240432 3538782 3932832 3995148 4260568 4294932 4328077 4355424 4424436 4652843 4718376 4793139 5326864 5726576 5817314 5899248 5992722 6291168 6390852 6442398 6480864 7077564 7990296 8521136 8589864 8656154 8725971 8848872 8989083 9305686 9436752 9586278 9663597 10653728 11453152 11634628 11798496 11985444 12781704 12884796 12984231 13958529 14155128 14379417 15980592 17042272 17179728 17312308 17451942 17697744 17978166 18611372 18873504 19172556 19327194 23269256 23637959 23970888 25563408 25769592 25968462 26177913 27917058 28310256 28758834 31961184 34359456 34624616 34903884 35395488 35956332 37222744 37812541 38345112 38654388 38952693 41875587 46538512 47275918 47941776 51126816 51539184 51936924 52355826 55834116 56620512 57517668 69249232 69807768 70913877 71912664 74445488 75625082 76690224 77308776 77905386 78533739 83751174 93077024 94551836 95883552 103078368 103873848 104711652 111668232 113437623 115035336 116858079 125626761 138498464 139615536 141827754 143825328 148890976 151250164 153380448 154617552 155810772 157067478 167502348 189103672 206514647 207747696 209423304 212741631 223336464 226875246 230070672 233716158 251253522 279231072 283655508 287650656 302500328 307293467 309235104 311621544 314134956 335004696 340312869 378207344 413029294 415495392 418846608 425483262 446672928 453750492 460141344 467432316 502507044 567311016 605000656 614586934 619543941 623243088 628269912 638224893 670009392 680625738 756414688 826058588 837693216 850966524 907500984 921880401 934864632 1005014088 1020938607 1134622032 1210001312 1229173868 1239087882 1246486176 1256539824 1276449786 1340018784 1361251476 1652117176 1678295089 1701933048 1815001968 1843760802 1858631823 1869729264 2010028176 2041877214 2269244064 2458347736 2478175764 2513079648 2552899572 2684690411 2722502952 2765641203 3304234352 3356590178 3403866096 3630003936 3687521604 3717263646 3739458528 4020056352 4083754428 4916695472 4956351528 5034885267 5105799144 5369380822 5445005904 5531282406 5575895469 6608468704 6713180356 6807732192 7375043208 7434527292 8054071233 8167508856 8296923609 9833390944 9912703056 10069770534 10211598288 10738761644 10890011808 11062564812 11151790938 13426360712 14750086416 14869054584 15104655801 16108142466 16335017712 16593847218 19825406112 20139541068 20423196576 21477523288 21817836157 22125129624 22303581876 24162213699 26852721424 29500172832 29738109168 30209311602 32216284932 32670035424 33187694436 40279082136 42955046576 43635672314 44250259248 44607163752 45313967403 48324427398 53705442848 59476218336 60418623204 64432569864 65453508471 66375388872 72486641097 80558164272 85910093152 87271344628 88500518496 89214327504 90627934806 96648854796 119158951319 120837246408 128865139728 130907016942 132750777744 144973282194 161116328544 174542689256 178428655008 181255869612 193297709592 196360525413 238317902638 241674492816 257730279456 261814033884 265501555488 289946564388 349085378512 357476853957 362511739224 386595419184 392721050826 476635805276 483348985632 523628067768 579893128776 589081576239 698170757024 714953707914 725023478448 773190838368 785442101652 953271610552 1047256135536 1072430561871 1159786257552 1178163152478 1429907415828 1450046956896 1549066367147 1570884203304 1906543221104 2094512271072 2144861123742 2319572515104 2356326304956 2859814831656 3098132734294 3141768406608 3217291685613 3813086442208 4289722247484 4647199101441 4712652609912 5719629663312 6196265468588 6283536813216 6434583371226 8579444494968 9294398202882 9425305219824 11439259326624 12392530937176 12869166742452 13941597304323 17158888989936 18588796405764 18850610439648 24785061874352 25738333484904 27883194608646 34317777979872 37177592811528 41824791912969 49570123748704 51476666969808 55766389217292 74355185623056 83649583825938 102953333939616 111532778434584 148710371246112 167299167651876 223065556869168 334598335303752 446131113738336 669196670607504 1338393341215008
• Sum of all divisors σ(n): 4271386473527040
• Sum of proper divisors (its aliquot sum) s(n): 2932993132312032
• 1338393341215008 is an abundant number, because the sum of its proper divisors (2932993132312032) is greater than itself. Its abundance is 1594599791097024

Bases of 1338393341215008

• Binary: 100110000010100001011111011101011000100000100100000₂
• Hexadecimal: 0x4C142FBAC4120
• Base-36: D6F5EV2FC0

Squares and roots of 1338393341215008

• 1338393341215008 squared (1338393341215008²) is 1791296735808672831969684440064
• 1338393341215008 cubed (1338393341215008³) is 2397459623346507096928588696709109125913280512
• The square root of 1338393341215008 is 36584058.5667447237
• The cube root of 1338393341215008 is 110203.2973546559

Scales and comparisons

• 1,338,393,341,215,008 seconds is equal to 42,556,768 years, 17 weeks, 11 hours, 16 minutes, 48 seconds.
• To count from 1 to 1,338,393,341,215,008 would take you about one hundred twenty-seven million, six hundred seventy thousand, three hundred four 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 1338393341215008 cubic inches would be around 9183.6 feet tall.

Recreational maths with 1338393341215008

• 1338393341215008 backwards is 8005121433938331
• 1338393341215008 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1338393341215008's digits is 54
• More coming soon!