131438884159488000

Names of 131438884159488000

• Cardinal: 131438884159488000 can be written as One hundred thirty-one quadrillion, four hundred thirty-eight trillion, eight hundred eighty-four billion, one hundred fifty-nine million, four hundred eighty-eight thousand.

Scientific notation

• Scientific notation: 1.31438884159488 × 10¹⁷

Factors of 131438884159488000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 41
• Sum of prime factors: 111

Divisors of 131438884159488000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 101 120 125 128 150 160 192 200 202 240 250 256 300 303 320 375 384 400 404 480 500 505 512 600 606 640 750 768 800 808 960 1000 1010 1024 1200 1212 1280 1500 1515 1536 1600 1616 1920 2000 2020 2048 2400 2424 2525 2560 3000 3030 3072 3200 3232 3840 4000 4040 4096 4800 4848 5050 5120 6000 6060 6144 6400 6464 7575 7680 8000 8080 8192 9600 9696 10100 10201 10240 12000 12120 12288 12625 12800 12928 15150 15360 16000 16160 16384 19200 19392 20200 20402 20480 24000 24240 24576 25250 25600 25856 30300 30603 30720 32000 32320 32768 37875 38400 38784 40400 40804 40960 48000 48480 49152 50500 51005 51200 51712 60600 61206 61440 64000 64640 65536 75750 76800 77568 80800 81608 81920 96000 96960 98304 101000 102010 102400 103424 121200 122412 122880 128000 129280 131072 151500 153015 153600 155136 161600 163216 163840 192000 193920 196608 202000 204020 204800 206848 242400 244824 245760 255025 256000 258560 262144 303000 306030 307200 310272 323200 326432 327680 384000 387840 393216 404000 408040 409600 413696 484800 489648 491520 510050 512000 517120 524288 606000 612060 614400 620544 646400 652864 655360 765075 768000 775680 786432 808000 816080 819200 827392 969600 979296 983040 1020100 1024000 1034240 1048576 1212000 1224120 1228800 1241088 1275125 1292800 1305728 1310720 1530150 1536000 1551360 1572864 1616000 1632160 1638400 1654784 1939200 1958592 1966080 2040200 2048000 2068480 2097152 2424000 2448240 2457600 2482176 2550250 2585600 2611456 2621440 3060300 3072000 3102720 3145728 3232000 3264320 3276800 3309568 3825375 3878400 3917184 3932160 4080400 4096000 4136960 4194304 4848000 4896480 4915200 4964352 5100500 5171200 5222912 5242880 6120600 6144000 6205440 6291456 6464000 6528640 6553600 6619136 7650750 7756800 7834368 7864320 8160800 8192000 8273920 8388608 9696000 9792960 9830400 9928704 10201000 10342400 10445824 10485760 12241200 12288000 12410880 12582912 12928000 13057280 13107200 13238272 15301500 15513600 15668736 15728640 16321600 16384000 16547840 16777216 19392000 19585920 19660800 19857408 20402000 20684800 20891648 20971520 24482400 24576000 24821760 25165824 25856000 26114560 26214400 26476544 30603000 31027200 31337472 31457280 32643200 32768000 33095680 33554432 38784000 39171840 39321600 39714816 40804000 41369600 41783296 41943040 48964800 49152000 49643520 50331648 51712000 52229120 52428800 52953088 61206000 62054400 62674944 62914560 65286400 65536000 66191360 67108864 77568000 78343680 78643200 79429632 81608000 82739200 83566592 83886080 97929600 98304000 99287040 100663296 103424000 104458240 104857600 105906176 122412000 124108800 125349888 125829120 130572800 131072000 132382720 134217728 155136000 156687360 157286400 158859264 163216000 165478400 167133184 167772160 195859200 196608000 198574080 201326592 206848000 208916480 209715200 211812352 244824000 248217600 250699776 251658240 261145600 262144000 264765440 268435456 310272000 313374720 314572800 317718528 326432000 330956800 334266368 335544320 391718400 393216000 397148160 402653184 413696000 417832960 419430400 423624704 489648000 496435200 501399552 503316480 522291200 524288000 529530880 536870912 620544000 626749440 629145600 635437056 652864000 661913600 668532736 671088640 783436800 786432000 794296320 805306368 827392000 835665920 838860800 847249408 979296000 992870400 1002799104 1006632960 1044582400 1048576000 1059061760 1073741824 1241088000 1253498880 1258291200 1270874112 1305728000 1323827200 1337065472 1342177280 1566873600 1572864000 1588592640 1610612736 1654784000 1671331840 1677721600 1694498816 1958592000 1985740800 2005598208 2013265920 2089164800 2097152000 2118123520 2147483648 2482176000 2506997760 2516582400 2541748224 2611456000 2647654400 2674130944 2684354560 3133747200 3145728000 3177185280 3221225472 3309568000 3342663680 3355443200 3388997632 3917184000 3971481600 4011196416 4026531840 4178329600 4194304000 4236247040 4294967296 4964352000 5013995520 5033164800 5083496448 5222912000 5295308800 5348261888 5368709120 6267494400 6291456000 6354370560 6442450944 6619136000 6685327360 6710886400 6777995264 7834368000 7942963200 8022392832 8053063680 8356659200 8388608000 8472494080 8589934592 9928704000 10027991040 10066329600 10166992896 10445824000 10590617600 10696523776 10737418240 12534988800 12582912000 12708741120 12884901888 13238272000 13370654720 13421772800 13555990528 15668736000 15885926400 16044785664 16106127360 16713318400 16777216000 16944988160 17179869184 19857408000 20055982080 20132659200 20333985792 20891648000 21181235200 21393047552 21474836480 25069977600 25165824000 25417482240 25769803776 26476544000 26741309440 26843545600 27111981056 31337472000 31771852800 32089571328 32212254720 33426636800 33554432000 33889976320 34359738368 39714816000 40111964160 40265318400 40667971584 41783296000 42362470400 42786095104 42949672960 50139955200 50331648000 50834964480 51539607552 52953088000 53482618880 53687091200 54223962112 62674944000 63543705600 64179142656 64424509440 66853273600 67108864000 67779952640 79429632000 80223928320 80530636800 81335943168 83566592000 84724940800 85572190208 85899345920 100279910400 100663296000 101669928960 103079215104 105906176000 106965237760 107374182400 108447924224 125349888000 127087411200 128358285312 128849018880 133706547200 134217728000 135559905280 158859264000 160447856640 161061273600 162671886336 167133184000 169449881600 171144380416 171798691840 200559820800 201326592000 203339857920 211812352000 213930475520 214748364800 216895848448 250699776000 254174822400 256716570624 257698037760 267413094400 268435456000 271119810560 317718528000 320895713280 322122547200 325343772672 334266368000 338899763200 342288760832 401119641600 402653184000 406679715840 423624704000 427860951040 429496729600 433791696896 501399552000 508349644800 513433141248 515396075520 534826188800 536870912000 542239621120 635437056000 641791426560 644245094400 650687545344 668532736000 677799526400 684577521664 802239283200 805306368000 813359431680 847249408000 855721902080 858993459200 867583393792 1002799104000 1016699289600 1026866282496 1069652377600 1073741824000 1084479242240 1270874112000 1283582853120 1288490188800 1301375090688 1337065472000 1355599052800 1369155043328 1604478566400 1610612736000 1626718863360 1694498816000 1711443804160 1735166787584 2005598208000 2033398579200 2053732564992 2139304755200 2147483648000 2168958484480 2541748224000 2567165706240 2576980377600 2602750181376 2674130944000 2711198105600 2738310086656 3208957132800 3221225472000 3253437726720 3388997632000 3422887608320 3470333575168 4011196416000 4066797158400 4107465129984 4278609510400 4294967296000 4337916968960 5083496448000 5134331412480 5205500362752 5348261888000 5422396211200 5476620173312 6417914265600 6442450944000 6506875453440 6777995264000 6845775216640 8022392832000 8133594316800 8214930259968 8557219020800 8675833937920 10166992896000 10268662824960 10411000725504 10696523776000 10844792422400 10953240346624 12835828531200 12884901888000 13013750906880 13555990528000 13691550433280 16044785664000 16267188633600 16429860519936 17114438041600 17351667875840 20333985792000 20537325649920 21393047552000 21689584844800 21906480693248 25671657062400 26027501813760 27111981056000 27383100866560 32089571328000 32534377267200 32859721039872 34228876083200 40667971584000 41074651299840 42786095104000 43379169689600 43812961386496 51343314124800 52055003627520 54223962112000 54766201733120 64179142656000 65068754534400 65719442079744 68457752166400 81335943168000 82149302599680 85572190208000 86758339379200 87625922772992 102686628249600 108447924224000 109532403466240 128358285312000 130137509068800 131438884159488 136915504332800 162671886336000 164298605199360 171144380416000 175251845545984 205373256499200 216895848448000 219064806932480 256716570624000 260275018137600 262877768318976 273831008665600 325343772672000 328597210398720 342288760832000 350503691091968 410746512998400 433791696896000 438129613864960 513433141248000 525755536637952 547662017331200 650687545344000 657194420797440 684577521664000 821493025996800 876259227729920 1026866282496000 1051511073275904 1095324034662400 1301375090688000 1314388841594880 1369155043328000 1642986051993600 1752518455459840 2053732564992000 2190648069324800 2628777683189760 2738310086656000 3285972103987200 4107465129984000 4381296138649600 5257555366379520 5476620173312000 6571944207974400 8214930259968000 8762592277299200 10953240346624000 13143888415948800 16429860519936000 21906480693248000 26287776831897600 32859721039872000 43812961386496000 65719442079744000 131438884159488000
• Sum of all divisors σ(n): 441802463731639920
• Sum of proper divisors (its aliquot sum) s(n): 310363579572151920
• 131438884159488000 is an abundant number, because the sum of its proper divisors (310363579572151920) is greater than itself. Its abundance is 178924695412663920

Bases of 131438884159488000

• Binary: 111010010111101101111100000000000000000000000000000000000₂
• Hexadecimal: 0x1D2F6F800000000
• Base-36: ZY771SP4YDC

Squares and roots of 131438884159488000

• 131438884159488000 squared (131438884159488000²) is 17276180269091305488220422144000000
• 131438884159488000 cubed (131438884159488000³) is 2270761857107524326231601562321545982902272000000000
• The square root of 131438884159488000 is 362545009.8394515207
• The cube root of 131438884159488000 is 508441.8471701463

Scales and comparisons

• 131,438,884,159,488,000 seconds is equal to 4,179,349,949 years, 5 weeks, 4 days, 13 hours, 20 minutes.
• To count from 1 to 131,438,884,159,488,000 would take you about twelve billion, five hundred thirty-eight million, forty-nine thousand, eight hundred forty-seven 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 131438884159488000 cubic inches would be around 42370.2 feet tall.

Recreational maths with 131438884159488000

• 131438884159488000 backwards is 000884951488834131
• 131438884159488000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 131438884159488000's digits is 75
• More coming soon!