168463428009984000
168,463,428,009,984,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 168463428009984000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
168463428009984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 168463428009984000:
217 × 33 × 53 × 17 × 47332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 4733 × 4733)See below for interesting mathematical facts about the number 168463428009984000 from the Numbermatics database.
Names of 168463428009984000
- Cardinal: 168463428009984000 can be written as One hundred sixty-eight quadrillion, four hundred sixty-three trillion, four hundred twenty-eight billion, nine million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.68463428009984 × 1017
Factors of 168463428009984000
Divisors of 168463428009984000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 250 255 256 270 272 288 300 306 320 340 360 375 384 400 408 425 432 450 459 480 500 510 512 540 544 576 600 612 640 675 680 720 750 765 768 800 816 850 864 900 918 960 1000 1020 1024 1080 1088 1125 1152 1200 1224 1275 1280 1350 1360 1440 1500 1530 1536 1600 1632 1700 1728 1800 1836 1920 2000 2040 2048 2125 2160 2176 2250 2295 2304 2400 2448 2550 2560 2700 2720 2880 3000 3060 3072 3200 3264 3375 3400 3456 3600 3672 3825 3840 4000 4080 4096 4250 4320 4352 4500 4590 4608 4733 4800 4896 5100 5120 5400 5440 5760 6000 6120 6144 6375 6400 6528 6750 6800 6912 7200 7344 7650 7680 8000 8160 8192 8500 8640 8704 9000 9180 9216 9466 9600 9792 10200 10240 10800 10880 11475 11520 12000 12240 12288 12750 12800 13056 13500 13600 13824 14199 14400 14688 15300 15360 16000 16320 16384 17000 17280 17408 18000 18360 18432 18932 19125 19200 19584 20400 20480 21600 21760 22950 23040 23665 24000 24480 24576 25500 25600 26112 27000 27200 27648 28398 28800 29376 30600 30720 32000 32640 32768 34000 34560 34816 36000 36720 36864 37864 38250 38400 39168 40800 40960 42597 43200 43520 45900 46080 47330 48000 48960 49152 51000 51200 52224 54000 54400 55296 56796 57375 57600 58752 61200 61440 64000 65280 65536 68000 69120 69632 70995 72000 73440 73728 75728 76500 76800 78336 80461 81600 81920 85194 86400 87040 91800 92160 94660 96000 97920 98304 102000 102400 104448 108000 108800 110592 113592 114750 115200 117504 118325 122400 122880 127791 128000 130560 131072 136000 138240 139264 141990 144000 146880 147456 151456 153000 153600 156672 160922 163200 163840 170388 172800 174080 183600 184320 189320 192000 195840 196608 204000 204800 208896 212985 216000 217600 221184 227184 229500 230400 235008 236650 241383 244800 245760 255582 256000 261120 272000 276480 278528 283980 288000 293760 294912 302912 306000 307200 313344 321844 326400 327680 340776 345600 348160 354975 367200 368640 378640 384000 391680 393216 402305 408000 409600 417792 425970 432000 435200 442368 454368 459000 460800 470016 473300 482766 489600 491520 511164 512000 522240 544000 552960 557056 567960 576000 587520 589824 591625 605824 612000 614400 626688 638955 643688 652800 655360 681552 691200 696320 709950 724149 734400 737280 757280 768000 783360 804610 816000 819200 835584 851940 864000 870400 884736 908736 918000 921600 940032 946600 965532 979200 983040 1022328 1024000 1044480 1064925 1088000 1105920 1114112 1135920 1152000 1175040 1179648 1183250 1206915 1211648 1224000 1228800 1253376 1277910 1287376 1305600 1363104 1382400 1392640 1419900 1448298 1468800 1474560 1514560 1536000 1566720 1609220 1632000 1638400 1671168 1703880 1728000 1740800 1769472 1774875 1817472 1836000 1843200 1880064 1893200 1931064 1958400 1966080 2011525 2044656 2048000 2088960 2129850 2172447 2176000 2211840 2228224 2271840 2304000 2350080 2366500 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38996163891200 39638453649408 41128766604000 41290055884800 42115857002496 43870684377600 44042726277120 45877839872000 46795396669440 48745204864000 49548067061760 49915089780736 51612569856000 52644821253120 54838355472000 55053407846400 56154476003328 58494245836800 61935083827200 62393862225920 65806026566400 66064089415680 68816759808000 70193095004160 73117807296000 73404543795200 74872634671104 77418854784000 77992327782400 79276907298816 82257533208000 82580111769600 84231714004992 87741368755200 91755679744000 93590793338880 97490409728000 99096134123520 103225139712000 105289642506240 109676710944000 110106815692800 112308952006656 116988491673600 123870167654400 124787724451840 131612053132800 132128178831360 137633519616000 140386190008320 146235614592000 149745269342208 154837709568000 155984655564800 164515066416000 165160223539200 168463428009984 175482737510400 183511359488000 187181586677760 194980819456000 198192268247040 206450279424000 210579285012480 219353421888000 220213631385600 224617904013312 233976983347200 247740335308800 249575448903680 263224106265600 275267039232000 280772380016640 292471229184000 309675419136000 311969311129600 329030132832000 330320447078400 336926856019968 350965475020800 367022718976000 374363173355520 389961638912000 396384536494080 412900558848000 421158570024960 438706843776000 449235808026624 467953966694400 495480670617600 526448212531200 550534078464000 561544760033280 584942458368000 619350838272000 623938622259200 658060265664000 660640894156800 673853712039936 701930950041600 748726346711040 779923277824000 825801117696000 842317140049920 877413687552000 935907933388800 990961341235200 1052896425062400 1101068156928000 1123089520066560 1169884916736000 1238701676544000 1247877244518400 1316120531328000 1347707424079872 1403861900083200 1559846555648000 1651602235392000 1684634280099840 1754827375104000 1871815866777600 1981922682470400 2105792850124800 2246179040133120 2339769833472000 2477403353088000 2632241062656000 2807723800166400 3119693111296000 3303204470784000 3369268560199680 3509654750208000 3743631733555200 4211585700249600 4679539666944000 4954806706176000 5264482125312000 5615447600332800 6239386222592000 6738537120399360 7019309500416000 8423171400499200 9359079333888000 9909613412352000 10528964250624000 11230895200665600 14038619000832000 16846342800998400 18718158667776000 21057928501248000 28077238001664000 33692685601996800 42115857002496000 56154476003328000 84231714004992000 168463428009984000
- Sum of all divisors σ(n): 659720740044300480
- Sum of proper divisors (its aliquot sum) s(n): 491257312034316480
- 168463428009984000 is an abundant number, because the sum of its proper divisors (491257312034316480) is greater than itself. Its abundance is 322793884024332480
Bases of 168463428009984000
- Binary: 10010101101000000010011000011000000010111000000000000000002
- Hexadecimal: 0x2568098602E0000
- Base-36: 1A2RAUFKBUO0
Squares and roots of 168463428009984000
- 168463428009984000 squared (1684634280099840002) is 28379926576875061730403680256000000
- 168463428009984000 cubed (1684634280099840003) is 4780979717812023613758936416058027911675904000000000
-
The
square root of 168463428009984000 is 410442965.5993436563 -
The
cube root of 168463428009984000 is 552291.7356336253
Scales and comparisons
How big is 168463428009984000?- 168,463,428,009,984,000 seconds is equal to 5,356,615,919 years, 6 weeks, 2 days.
-
To count from 1 to 168,463,428,009,984,000 would take you about sixteen billion, sixty-nine million, eight hundred forty-seven thousand, seven hundred fifty-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 168463428009984000 cubic inches would be around 46024.3 feet tall.
Recreational maths with 168463428009984000
- 168463428009984000 backwards is 000489900824364861
- 168463428009984000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 168463428009984000's digits is 72
- More coming soon!
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"Number 168463428009984000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 168463428009984000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/168463428009984000/
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The information we have on file for 168463428009984000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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