768493928808000
768,493,928,808,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 768493928808000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
768493928808000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 768493928808000:
26 × 35 × 53 × 17 × 37 × 61 × 10303
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 37 × 61 × 10303)See below for interesting mathematical facts about the number 768493928808000 from the Numbermatics database.
Names of 768493928808000
- Cardinal: 768493928808000 can be written as Seven hundred sixty-eight trillion, four hundred ninety-three billion, nine hundred twenty-eight million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 7.68493928808 × 1014
Factors of 768493928808000
Divisors of 768493928808000
- Number of divisors d(n): 2688
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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 37 40 45 48 50 51 54 60 61 64 68 72 74 75 80 81 85 90 96 100 102 108 111 120 122 125 135 136 144 148 150 153 160 162 170 180 183 185 192 200 204 216 222 225 240 243 244 250 255 270 272 288 296 300 305 306 320 324 333 340 360 366 370 375 400 405 408 425 432 444 450 459 480 486 488 500 510 540 544 549 555 576 592 600 610 612 629 648 666 675 680 720 732 740 750 765 800 810 816 850 864 888 900 915 918 925 960 972 976 999 1000 1020 1037 1080 1088 1098 1110 1125 1184 1200 1215 1220 1224 1258 1275 1296 1332 1350 1360 1377 1440 1464 1480 1500 1525 1530 1600 1620 1632 1647 1665 1700 1728 1776 1800 1830 1836 1850 1887 1944 1952 1998 2000 2025 2040 2074 2125 2160 2196 2220 2250 2257 2295 2368 2400 2430 2440 2448 2516 2550 2592 2664 2700 2720 2745 2754 2775 2880 2928 2960 2997 3000 3050 3060 3111 3145 3240 3264 3294 3330 3375 3400 3552 3600 3660 3672 3700 3774 3825 3888 3904 3996 4000 4050 4080 4131 4148 4250 4320 4392 4440 4500 4514 4575 4590 4625 4800 4860 4880 4896 4941 4995 5032 5100 5184 5185 5328 5400 5440 5490 5508 5550 5661 5856 5920 5994 6000 6075 6100 6120 6222 6290 6375 6480 6588 6660 6750 6771 6800 6885 7104 7200 7320 7344 7400 7548 7625 7650 7776 7992 8000 8100 8160 8235 8262 8296 8325 8500 8640 8784 8880 8991 9000 9028 9150 9180 9250 9333 9435 9720 9760 9792 9882 9990 10064 10125 10200 10303 10370 10656 10800 10980 11016 11100 11285 11322 11475 11712 11840 11988 12000 12150 12200 12240 12444 12580 12750 12960 13176 13320 13500 13542 13600 13725 13770 13875 14400 14640 14688 14800 14823 14985 15096 15250 15300 15552 15555 15725 15984 16200 16320 16470 16524 16592 16650 16983 17000 17568 17760 17982 18000 18056 18300 18360 18500 18666 18870 19125 19440 19520 19764 19980 20128 20250 20313 20400 20606 20655 20740 21312 21600 21960 22032 22200 22570 22644 22875 22950 23976 24000 24300 24400 24480 24705 24888 24975 25160 25500 25920 25925 26352 26640 27000 27084 27200 27450 27540 27750 27999 28305 29280 29376 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2596263273000 2668381697250 2825345326500 2846273810400 3013701681600 3073975715232 3149565282000 3162526456000 3202058036700 3415528572480 3461684364000 3557842263000 3767127102000 3842469644040 4002572545875 4154021236800 4199420376000 4269410715600 4520552522400 4743789684000 4803087055050 5022836136000 5123292858720 5192526546000 5336763394500 5650690653000 5692547620800 6147951430464 6299130564000 6404116073400 6923368728000 7115684526000 7534254204000 7684939288080 8005145091750 8538821431200 9041105044800 9487579368000 9606174110100 10246585717440 10385053092000 10673526789000 11301381306000 12007717637625 12598261128000 12808232146800 14231369052000 15068508408000 15369878576160 16010290183500 17077642862400 19212348220200 20770106184000 21347053578000 22602762612000 24015435275250 25616464293600 28462738104000 30739757152320 32020580367000 38424696440400 42694107156000 45205525224000 48030870550500 51232928587200 64041160734000 76849392880800 85388214312000 96061741101000 128082321468000 153698785761600 192123482202000 256164642936000 384246964404000 768493928808000
- Sum of all divisors σ(n): 3151253522866176
- Sum of proper divisors (its aliquot sum) s(n): 2382759594058176
- 768493928808000 is an abundant number, because the sum of its proper divisors (2382759594058176) is greater than itself. Its abundance is 1614265665250176
Bases of 768493928808000
- Binary: 101011101011110000111011111010001101111110010000002
- Hexadecimal: 0x2BAF0EFA37E40
- Base-36: 7KEP8JAC00
Squares and roots of 768493928808000
- 768493928808000 squared (7684939288080002) is 590582918614755372300864000000
- 768493928808000 cubed (7684939288080003) is 453859387413148673059315713972890112000000000
-
The
square root of 768493928808000 is 27721723.0490458511 -
The
cube root of 768493928808000 is 91596.7673963935
Scales and comparisons
How big is 768493928808000?- 768,493,928,808,000 seconds is equal to 24,435,729 years, 43 weeks, 12 hours.
-
To count from 1 to 768,493,928,808,000 would take you about sixty-one million, eighty-nine thousand, three hundred twenty-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 768493928808000 cubic inches would be around 7633.1 feet tall.
Recreational maths with 768493928808000
- 768493928808000 backwards is 000808829394867
- 768493928808000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 768493928808000's digits is 72
- More coming soon!
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"Number 768493928808000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 768493928808000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/768493928808000/
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The information we have on file for 768493928808000 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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