148923166814464000

Names of 148923166814464000

• Cardinal: 148923166814464000 can be written as One hundred forty-eight quadrillion, nine hundred twenty-three trillion, one hundred sixty-six billion, eight hundred fourteen million, four hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.48923166814464 × 10¹⁷

Factors of 148923166814464000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 108973

Divisors of 148923166814464000

• Number of divisors d(n): 432
• 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 98 100 112 125 128 140 160 175 196 200 224 245 250 256 280 320 350 392 400 448 490 500 512 560 640 700 784 800 875 896 980 1000 1024 1120 1225 1280 1400 1568 1600 1750 1792 1960 2000 2048 2240 2450 2560 2800 3136 3200 3500 3584 3920 4000 4480 4900 5120 5600 6125 6272 6400 7000 7168 7840 8000 8960 9800 10240 11200 12250 12544 12800 14000 14336 15680 16000 17920 19600 22400 24500 25088 25600 28000 31360 32000 35840 39200 44800 49000 50176 51200 56000 62720 64000 71680 78400 89600 98000 100352 108959 112000 125440 128000 156800 179200 196000 217918 224000 250880 256000 313600 358400 392000 435836 448000 501760 544795 627200 762713 784000 871672 896000 1089590 1254400 1525426 1568000 1743344 1792000 2179180 2508800 2723975 3050852 3136000 3486688 3813565 4358360 5338991 5447950 6101704 6272000 6973376 7627130 8716720 10677982 10895900 12203408 12544000 13619875 13946752 15254260 17433440 19067825 21355964 21791800 24406816 26694955 27239750 27893504 30508520 34866880 38135650 42711928 43583600 48813632 53389910 54479500 55787008 61017040 69733760 76271300 85423856 87167200 95339125 97627264 106779820 108959000 111574016 122034080 133474775 139467520 152542600 170847712 174334400 190678250 195254528 213559640 217918000 223148032 244068160 266949550 278935040 305085200 341695424 348668800 381356500 390509056 427119280 435836000 488136320 533899100 557870080 610170400 667373875 683390848 697337600 762713000 781018112 854238560 871672000 976272640 1067798200 1115740160 1220340800 1334747750 1366781696 1394675200 1525426000 1562036224 1708477120 1743344000 1952545280 2135596400 2440681600 2669495500 2733563392 2789350400 3050852000 3416954240 3486688000 3905090560 4271192800 4881363200 5338991000 5467126784 5578700800 6101704000 6833908480 6973376000 7810181120 8542385600 9762726400 10677982000 10934253568 11872063681 12203408000 13667816960 13946752000 17084771200 19525452800 21355964000 23744127362 24406816000 27335633920 27893504000 34169542400 39050905600 42711928000 47488254724 48813632000 54671267840 59360318405 68339084800 83104445767 85423856000 94976509448 97627264000 118720636810 136678169600 166208891534 170847712000 189953018896 195254528000 237441273620 273356339200 296801592025 332417783068 341695424000 379906037792 415522228835 474882547240 581731120369 593603184050 664835566136 683390848000 759812075584 831044457670 949765094480 1163462240738 1187206368100 1329671132272 1366781696000 1484007960125 1519624151168 1662088915340 1899530188960 2077611144175 2326924481476 2374412736200 2659342264544 2908655601845 2968015920250 3039248302336 3324177830680 3799060377920 4155222288350 4653848962952 4748825472400 5318684529088 5817311203690 5936031840500 6078496604672 6648355661360 7598120755840 8310444576700 9307697925904 9497650944800 10388055720875 10637369058176 11634622407380 11872063681000 12156993209344 13296711322720 14543278009225 15196241511680 16620889153400 18615395851808 18995301889600 20776111441750 21274738116352 23269244814760 23744127362000 24313986418688 26593422645440 29086556018450 30392483023360 33241778306800 37230791703616 37990603779200 41552222883500 42549476232704 46538489629520 47488254724000 53186845290880 58173112036900 60784966046720 66483556613600 72716390046125 74461583407232 75981207558400 83104445767000 85098952465408 93076979259040 94976509448000 106373690581760 116346224073800 121569932093440 132967113227200 145432780092250 148923166814464 151962415116800 166208891534000 170197904930816 186153958518080 189953018896000 212747381163520 232692448147600 265934226454400 290865560184500 297846333628928 303924830233600 332417783068000 372307917036160 379906037792000 425494762327040 465384896295200 531868452908800 581731120369000 595692667257856 607849660467200 664835566136000 744615834072320 759812075584000 850989524654080 930769792590400 1063736905817600 1163462240738000 1191385334515712 1329671132272000 1489231668144640 1519624151168000 1861539585180800 2127473811635200 2326924481476000 2659342264544000 2978463336289280 3039248302336000 3723079170361600 4254947623270400 4653848962952000 5318684529088000 5956926672578560 7446158340723200 9307697925904000 10637369058176000 14892316681446400 18615395851808000 21274738116352000 29784633362892800 37230791703616000 74461583407232000 148923166814464000
• Sum of all divisors σ(n): 432298335611846340
• Sum of proper divisors (its aliquot sum) s(n): 283375168797382340
• 148923166814464000 is an abundant number, because the sum of its proper divisors (283375168797382340) is greater than itself. Its abundance is 134452001982918340

Bases of 148923166814464000

• Binary: 1000010001000101001101010011001000110011010110100000000000₂
• Hexadecimal: 0x21114D4C8CD6800
• Base-36: 14QCUUD33YF4

Squares and roots of 148923166814464000

• 148923166814464000 squared (148923166814464000²) is 22178109614048671609399607296000000
• 148923166814464000 cubed (148923166814464000³) is 3302834317682438122862642151355060892729344000000000
• The square root of 148923166814464000 is 385905644.9632008169
• The cube root of 148923166814464000 is 530054.7787387805

Scales and comparisons

• 148,923,166,814,464,000 seconds is equal to 4,735,296,055 years, 5 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 148,923,166,814,464,000 would take you about fourteen billion, two hundred five million, eight hundred eighty-eight thousand, one hundred sixty-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 148923166814464000 cubic inches would be around 44171.2 feet tall.

Recreational maths with 148923166814464000

• 148923166814464000 backwards is 000464418661329841
• The number of decimal digits it has is: 18
• The sum of 148923166814464000's digits is 67
• More coming soon!