31445457410248000

Names of 31445457410248000

• Cardinal: 31445457410248000 can be written as Thirty-one quadrillion, four hundred forty-five trillion, four hundred fifty-seven billion, four hundred ten million, two hundred forty-eight thousand.

Scientific notation

• Scientific notation: 3.1445457410248 × 10¹⁶

Factors of 31445457410248000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 794

Divisors of 31445457410248000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 64 70 74 80 100 112 125 140 148 160 175 185 200 224 250 259 280 296 320 350 370 400 448 500 518 560 592 700 740 743 800 875 925 1000 1036 1120 1184 1295 1369 1400 1480 1486 1600 1750 1850 2000 2072 2240 2368 2590 2738 2800 2960 2972 3500 3700 3715 4000 4144 4625 5180 5201 5476 5600 5920 5944 6475 6845 7000 7400 7430 8000 8288 9250 9583 10360 10402 10952 11200 11840 11888 12950 13690 14000 14800 14860 16576 18500 18575 19166 20720 20804 21904 23776 25900 26005 27380 27491 28000 29600 29720 32375 34225 37000 37150 38332 41440 41608 43808 47552 47915 51800 52010 54760 54982 56000 59200 59440 64750 68450 74000 74300 76664 82880 83216 87616 92875 95830 103600 104020 109520 109964 118880 129500 130025 136900 137455 148000 148600 153328 166432 171125 185750 191660 192437 207200 208040 219040 219928 237760 239575 259000 260050 273800 274910 296000 297200 306656 332864 342250 371500 383320 384874 414400 416080 438080 439856 479150 518000 520100 547600 549820 552049 594400 613312 650125 684500 687275 743000 766640 769748 832160 879712 958300 962185 1017167 1036000 1040200 1095200 1099640 1104098 1188800 1197875 1300250 1369000 1374550 1486000 1533280 1539496 1664320 1759424 1916600 1924370 2034334 2072000 2080400 2190400 2199280 2208196 2395750 2600500 2738000 2749100 2760245 2972000 3066560 3078992 3436375 3833200 3848740 3864343 4068668 4160800 4398560 4416392 4791500 4810925 5085835 5201000 5476000 5498200 5520490 5944000 6157984 6872750 7120169 7666400 7697480 7728686 8137336 8321600 8797120 8832784 9583000 9621850 10171670 10402000 10952000 10996400 11040980 12315968 13745500 13801225 14240338 15332800 15394960 15457372 16274672 17665568 19166000 19243700 19321715 20343340 20425813 20804000 21992800 22081960 24054625 25429175 27491000 27602450 28480676 30789920 30914744 32549344 35331136 35600845 38332000 38487400 38643430 40686680 40851626 41608000 43985600 44163920 48109250 50858350 54982000 55204900 56961352 61579840 61829488 65098688 69006125 71201690 76664000 76974800 77286860 81373360 81703252 88327840 96218500 96608575 101716700 102129065 109964000 110409800 113922704 123658976 127145875 138012250 142403380 142980691 153949600 154573720 162746720 163406504 176655680 178004225 192437000 193217150 203433400 204258130 219928000 220819600 227845408 247317952 254291750 276024500 284806760 285961382 307899200 309147440 325493440 326813008 356008450 384874000 386434300 406866800 408516260 410172407 441639200 455690816 483042875 508583500 510645325 552049000 569613520 571922764 618294880 653626016 712016900 714903455 755755081 769748000 772868600 813733600 817032520 820344814 883278400 890021125 966085750 1017167000 1021290650 1104098000 1139227040 1143845528 1236589760 1307252032 1424033800 1429806910 1511510162 1539496000 1545737200 1627467200 1634065040 1640689628 1780042250 1932171500 2034334000 2042581300 2050862035 2208196000 2278454080 2287691056 2553226625 2848067600 2859613820 2871206849 3023020324 3091474400 3268130080 3281379256 3560084500 3574517275 3778775405 3864343000 4068668000 4085162600 4101724070 4416392000 4575382112 5106453250 5290285567 5696135200 5719227640 5742413698 6046040648 6182948800 6536260160 6562758512 7120169000 7149034550 7557550810 7728686000 8137336000 8170325200 8203448140 9150764224 10212906500 10254310175 10580571134 11392270400 11438455280 11484827396 12092081296 13125517024 14240338000 14298069100 14356034245 15115101620 15176379059 15457372000 16340650400 16406896280 17872586375 18893877025 20425813000 20508620350 21161142268 22876910560 22969654792 24184162592 26251034048 26451427835 28480676000 28596138200 28712068490 30230203240 30352758118 30914744000 32681300800 32813792560 35745172750 37787754050 40851626000 41017240700 42322284536 45753821120 45939309584 48368325184 51271550875 52902855670 56961352000 57192276400 57424136980 60460406480 60705516236 65627585120 71490345500 71780171225 75575508100 75881895295 81703252000 82034481400 84644569072 91878619168 94469385125 102543101750 105805711340 106234653413 114384552800 114848273960 120920812960 121411032472 131255170240 132257139175 142980691000 143560342450 151151016200 151763790590 163406504000 164068962800 169289138144 183757238336 188938770250 205086203500 211611422680 212469306826 228769105600 229696547920 241841625920 242822064944 264514278350 285961382000 287120684900 302302032400 303527581180 328137925600 338578276288 358900856125 377877540500 379409476475 410172407000 423222845360 424938613652 459393095840 485644129888 529028556700 531173267065 561526025183 571922764000 574241369800 604604064800 607055162360 656275851200 661285695875 717801712250 755755081000 758818952950 820344814000 846445690720 849877227304 918786191680 971288259776 1058057113400 1062346534130 1123052050366 1143845528000 1148482739600 1209208129600 1214110324720 1322571391750 1435603424500 1511510162000 1517637905900 1640689628000 1692891381440 1699754454608 1897047382375 2116114226800 2124693068260 2246104100732 2296965479200 2428220649440 2645142783500 2655866335325 2807630125915 2871206849000 3023020324000 3035275811800 3281379256000 3399508909216 3794094764750 3930682176281 4232228453600 4249386136520 4492208201464 4593930958400 4856441298880 5290285567000 5311732670650 5615260251830 5742413698000 6046040648000 6070551623600 6799017818432 7588189529500 7861364352562 8464456907200 8498772273040 8984416402928 10580571134000 10623465341300 11230520503660 11484827396000 12141103247200 13279331676625 14038150629575 15176379059000 15722728705124 16997544546080 17968832805856 19653410881405 21161142268000 21246930682600 22461041007320 22969654792000 24282206494400 26558663353250 28076301259150 30352758118000 31445457410248 33995089092160 35937665611712 39306821762810 42322284536000 42493861365200 44922082014640 53117326706500 56152602518300 60705516236000 62890914820496 70190753147875 78613643525620 84987722730400 89844164029280 98267054407025 106234653413000 112305205036600 121411032472000 125781829640992 140381506295750 157227287051240 169975445460800 179688328058560 196534108814050 212469306826000 224610410073200 251563659281984 280763012591500 314454574102480 393068217628100 424938613652000 449220820146400 491335272035125 561526025183000 628909148204960 786136435256200 849877227304000 898441640292800 982670544070250 1123052050366000 1257818296409920 1572272870512400 1965341088140500 2246104100732000 3144545741024800 3930682176281000 4492208201464000 6289091482049600 7861364352562000 15722728705124000 31445457410248000
• Sum of all divisors σ(n): 91593309927974400
• Sum of proper divisors (its aliquot sum) s(n): 60147852517726400
• 31445457410248000 is an abundant number, because the sum of its proper divisors (60147852517726400) is greater than itself. Its abundance is 28702395107478400

Bases of 31445457410248000

• Binary: 1101111101101110111101000010110101111001100110101000000₂
• Hexadecimal: 0x6FB77A16BCCD40
• Base-36: 8LMHFPGESSG

Squares and roots of 31445457410248000

• 31445457410248000 squared (31445457410248000²) is 988816791739720854975421504000000
• 31445457410248000 cubed (31445457410248000³) is 31093796311189458514769854272864049172992000000000
• The square root of 31445457410248000 is 177328670.5816292979
• The cube root of 31445457410248000 is 315635.5938283023

Scales and comparisons

• 31,445,457,410,248,000 seconds is equal to 999,868,278 years, 23 weeks, 6 days, 8 hours, 26 minutes, 40 seconds.
• To count from 1 to 31,445,457,410,248,000 would take you about two billion, nine hundred ninety-nine million, six hundred four thousand, eight hundred thirty-five 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 31445457410248000 cubic inches would be around 26303 feet tall.

Recreational maths with 31445457410248000

• 31445457410248000 backwards is 00084201475454413
• The number of decimal digits it has is: 17
• The sum of 31445457410248000's digits is 52
• More coming soon!