72831513700148000
72,831,513,700,148,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 72831513700148000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
72831513700148000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 72831513700148000:
25 × 53 × 76 × 175 × 109
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 17 × 109)See below for interesting mathematical facts about the number 72831513700148000 from the Numbermatics database.
Names of 72831513700148000
- Cardinal: 72831513700148000 can be written as Seventy-two quadrillion, eight hundred thirty-one trillion, five hundred thirteen billion, seven hundred million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 7.2831513700148 × 1016
Factors of 72831513700148000
Divisors of 72831513700148000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 68 70 80 85 98 100 109 112 119 125 136 140 160 170 175 196 200 218 224 238 245 250 272 280 289 340 343 350 392 400 425 436 476 490 500 544 545 560 578 595 680 686 700 763 784 800 833 850 872 875 952 980 1000 1090 1120 1156 1190 1225 1360 1372 1400 1445 1526 1568 1666 1700 1715 1744 1750 1853 1904 1960 2000 2023 2125 2180 2312 2380 2401 2450 2720 2725 2744 2800 2890 2975 3052 3332 3400 3430 3488 3500 3706 3808 3815 3920 4000 4046 4165 4250 4360 4624 4760 4802 4900 4913 5341 5450 5488 5600 5780 5831 5950 6104 6125 6664 6800 6860 7000 7225 7412 7630 7840 8092 8330 8500 8575 8720 9248 9265 9520 9604 9800 9826 10115 10682 10900 10976 11560 11662 11900 12005 12208 12250 12971 13328 13600 13625 13720 14000 14161 14450 14824 14875 15260 16184 16660 16807 17000 17150 17440 18530 19040 19075 19208 19600 19652 20230 20825 21364 21800 23120 23324 23800 24010 24416 24500 24565 25942 26656 26705 27250 27440 28000 28322 28900 29155 29648 29750 30520 31501 32368 33320 33614 34000 34300 34391 36125 37060 37387 38150 38416 39200 39304 40460 40817 41650 42728 42875 43600 46240 46325 46648 47600 48020 49000 49130 50575 51884 53410 54500 54880 56644 57800 58310 59296 59500 60025 61040 63002 64736 64855 66640 67228 68000 68600 68782 70805 72250 74120 74774 76300 76832 78608 80920 81634 83300 83521 84035 85456 85750 87200 90797 92650 93296 95200 95375 96040 98000 98260 99127 101150 103768 104125 106820 109000 113288 115600 116620 117649 119000 120050 122080 122825 126004 129710 133280 133525 134456 137200 137564 141610 144500 145775 148240 149548 152600 157216 157505 161840 163268 166600 167042 168070 170912 171500 171955 181594 185300 186592 186935 190750 192080 196000 196520 198254 202300 204085 207536 208250 213640 218000 220507 226576 231200 231625 233240 235298 238000 240100 240737 245650 252008 252875 259420 261709 267050 268912 274400 275128 283220 285719 289000 291550 296480 299096 300125 305200 315010 323680 324275 326536 333200 334084 336140 343000 343910 354025 363188 370600 373870 381500 384160 393040 396508 404600 408170 415072 416500 417605 420175 427280 436000 441014 453152 453985 463250 466480 470596 476000 480200 481474 491300 495635 504016 505750 518840 523418 534100 535517 537824 550256 566440 571438 578000 583100 584647 588245 598192 600250 610400 614125 630020 635579 648550 653072 666400 667625 668168 672280 686000 687820 693889 708050 726376 728875 741200 747740 763000 786080 787525 793016 809200 816340 833000 835210 840350 854560 859775 882028 907970 926500 932960 934675 941192 960400 962948 982600 991270 1008032 1011500 1020425 1037680 1046836 1068200 1071034 1100512 1102535 1132880 1142876 1156000 1166200 1169294 1176490 1196384 1200500 1203685 1228250 1260040 1271158 1297100 1306144 1308545 1335250 1336336 1344560 1372000 1375640 1387778 1416100 1419857 1428595 1452752 1457750 1482400 1495480 1526000 1543549 1575050 1586032 1618400 1621375 1632680 1666000 1670420 1680700 1685159 1719550 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91039392125185 92897338903250 95454146396000 104045019571640 106168387318000 107105167206100 122405905378400 126006079066000 130056274464550 133635804954400 133881459007625 145663027400296 148635742245200 153007381723000 167044756193000 171368267529760 182078784250370 185794677806500 208090039143280 212336774636000 214210334412200 252012158132000 260112548929100 267762918015250 291326054800592 297271484490400 306014763446000 325140686161375 334089512386000 364157568500740 371589355613000 416180078286560 428420668824400 455196960625925 520225097858200 535525836030500 582652109601184 612029526892000 650281372322750 668179024772000 728315137001480 743178711226000 856841337648800 910393921251850 1040450195716400 1071051672061000 1300562744645500 1456630274002960 1486357422452000 1820787842503700 2080900391432800 2142103344122000 2275984803129625 2601125489291000 2913260548005920 3641575685007400 4284206688244000 4551969606259250 5202250978582000 7283151370014800 9103939212518500 10404501957164000 14566302740029600 18207878425037000 36415756850074000 72831513700148000
- Sum of all divisors σ(n): 223854517427420880
- Sum of proper divisors (its aliquot sum) s(n): 151023003727272880
- 72831513700148000 is an abundant number, because the sum of its proper divisors (151023003727272880) is greater than itself. Its abundance is 78191490027124880
Bases of 72831513700148000
- Binary: 1000000101011111111100000001101101000110100100011001000002
- Hexadecimal: 0x102BFE0368D2320
- Base-36: JX4M7HV3Y8W
Squares and roots of 72831513700148000
- 72831513700148000 squared (728315137001480002) is 5304429387854845818055221904000000
- 72831513700148000 cubed (728315137001480003) is 386329621633017872358479118638788257641792000000000
-
The
square root of 72831513700148000 is 269873143.7178364363 -
The
cube root of 72831513700148000 is 417612.1370650783
Scales and comparisons
How big is 72831513700148000?- 72,831,513,700,148,000 seconds is equal to 2,315,816,853 years, 10 hours, 53 minutes, 20 seconds.
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To count from 1 to 72,831,513,700,148,000 would take you about six billion, nine hundred forty-seven million, four hundred fifty thousand, five hundred fifty-nine 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 72831513700148000 cubic inches would be around 34801 feet tall.
Recreational maths with 72831513700148000
- 72831513700148000 backwards is 00084100731513827
- 72831513700148000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 72831513700148000's digits is 50
- More coming soon!
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The information we have on file for 72831513700148000 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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