135439528224000
135,439,528,224,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 135439528224000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
135439528224000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 135439528224000:
28 × 3 × 53 × 7 × 112 × 13 × 17 × 7537
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 13 × 17 × 7537)See below for interesting mathematical facts about the number 135439528224000 from the Numbermatics database.
Names of 135439528224000
- Cardinal: 135439528224000 can be written as One hundred thirty-five trillion, four hundred thirty-nine billion, five hundred twenty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.35439528224 × 1014
Factors of 135439528224000
Divisors of 135439528224000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 20 21 22 24 25 26 28 30 32 33 34 35 39 40 42 44 48 50 51 52 55 56 60 64 65 66 68 70 75 77 78 80 84 85 88 91 96 100 102 104 105 110 112 119 120 121 125 128 130 132 136 140 143 150 154 156 160 165 168 170 175 176 182 187 192 195 200 204 208 210 220 221 224 231 238 240 242 250 255 256 260 264 272 273 275 280 286 300 308 312 320 325 330 336 340 350 352 357 363 364 374 375 384 385 390 400 408 416 420 425 429 440 442 448 455 462 476 480 484 500 510 520 525 528 544 546 550 560 561 572 595 600 605 616 624 640 650 660 663 672 680 700 704 714 715 726 728 748 750 768 770 780 800 816 825 832 840 847 850 858 875 880 884 896 910 924 935 952 960 968 975 1000 1001 1020 1040 1050 1056 1088 1092 1100 1105 1120 1122 1144 1155 1190 1200 1210 1232 1248 1275 1280 1300 1309 1320 1326 1344 1360 1365 1375 1400 1408 1428 1430 1452 1456 1496 1500 1540 1547 1560 1573 1600 1625 1632 1650 1664 1680 1694 1700 1716 1750 1760 1768 1785 1792 1815 1820 1848 1870 1904 1920 1925 1936 1950 2000 2002 2040 2057 2080 2100 2112 2125 2145 2176 2184 2200 2210 2240 2244 2275 2288 2310 2380 2400 2420 2431 2464 2496 2541 2550 2600 2618 2625 2640 2652 2688 2720 2730 2750 2800 2805 2816 2856 2860 2904 2912 2975 2992 3000 3003 3025 3080 3094 3120 3146 3200 3250 3264 3300 3315 3328 3360 3388 3400 3432 3500 3520 3536 3570 3575 3630 3640 3696 3740 3808 3840 3850 3872 3900 3927 4000 4004 4080 4114 4125 4160 4200 4224 4235 4250 4290 4352 4368 4400 4420 4480 4488 4550 4576 4620 4641 4675 4719 4760 4800 4840 4862 4875 4928 4992 5005 5082 5100 5200 5236 5250 5280 5304 5376 5440 5460 5500 5525 5600 5610 5712 5720 5775 5808 5824 5950 5984 6000 6006 6050 6160 6171 6188 6240 6292 6375 6400 6500 6528 6545 6600 6630 6720 6776 6800 6825 6864 7000 7040 7072 7140 7150 7260 7280 7293 7392 7480 7537 7616 7700 7735 7744 7800 7854 7865 8000 8008 8160 8228 8250 8320 8400 8448 8470 8500 8580 8736 8800 8840 8925 8960 8976 9075 9100 9152 9240 9282 9350 9438 9520 9600 9625 9680 9724 9750 9856 9984 10010 10164 10200 10285 10400 10472 10500 10560 10608 10725 10880 10920 11000 11011 11050 11200 11220 11375 11424 11440 11550 11616 11648 11900 11968 12000 12012 12100 12155 12320 12342 12376 12480 12584 12705 12750 13000 13056 13090 13200 13260 13440 13552 13600 13650 13728 14000 14025 14080 14144 14280 14300 14399 14520 14560 14586 14784 14875 14960 15015 15074 15125 15232 15400 15470 15488 15600 15708 15730 16000 16016 16320 16456 16500 16575 16640 16800 16940 17000 17017 17160 17472 17600 17680 17850 17875 17952 18150 18200 18304 18480 18564 18700 18876 19040 19200 19250 19360 19448 19500 19635 19712 20020 20328 20400 20570 20800 20944 21000 21120 21175 21216 21450 21760 21840 22000 22022 22100 22400 22440 22611 22750 22848 22880 23100 23205 23232 23296 23375 23595 23800 23936 24000 24024 24200 24310 24640 24684 24752 24960 25025 25168 25410 25500 26000 26180 26400 26520 26741 26880 27104 27200 27300 27456 27625 28000 28050 28288 28560 28600 28798 28875 29040 29120 29172 29568 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347280841600 351790982400 352707104750 361172075264 362137776000 372086616000 373111648000 379382432000 384771387000 386970080640 398351553600 403093834000 410422812800 416737009920 423248525700 434101052000 439738728000 451465094080 473564784000 483712600800 492507375360 496115488000 497939442000 513028516000 520921262400 529060657125 531135404800 541758112896 559667472000 564331367600 569073648000 586318304000 604640751000 612848544000 615634219200 644950134400 651151578000 663919256000 677197641120 694561683200 705414209500 724275552000 744173232000 769542774000 773940161280 796703107200 806187668000 820845625600 846497051400 868202104000 879477456000 902930188160 947129568000 967425201600 995878884000 1026057032000 1041842524800 1058121314250 1083516225792 1119334944000 1128662735200 1138147296000 1209281502000 1231268438400 1289900268800 1302303156000 1327838512000 1354395282240 1410828419000 1488346464000 1539085548000 1593406214400 1612375336000 1692994102800 1736404208000 1758954912000 1805860376320 1934850403200 1991757768000 2052114064000 2083685049600 2116242628500 2257325470400 2418563004000 2462536876800 2604606312000 2655677024000 2708790564480 2821656838000 3078171096000 3224750672000 3385988205600 3472808416000 3869700806400 3983515536000 4104228128000 4232485257000 4514650940800 4837126008000 5209212624000 5417581128960 5643313676000 6156342192000 6449501344000 6771976411200 7967031072000 8464970514000 9029301881600 9674252016000 10418425248000 11286627352000 12312684384000 13543952822400 16929941028000 19348504032000 22573254704000 27087905644800 33859882056000 45146509408000 67719764112000 135439528224000
- Sum of all divisors σ(n): 644471611370496
- Sum of proper divisors (its aliquot sum) s(n): 509032083146496
- 135439528224000 is an abundant number, because the sum of its proper divisors (509032083146496) is greater than itself. Its abundance is 373592554922496
Bases of 135439528224000
- Binary: 111101100101110011110001111011111100101000000002
- Hexadecimal: 0x7B2E78F7E500
- Base-36: 1C0C265QTC
Squares and roots of 135439528224000
- 135439528224000 squared (1354395282240002) is 18343865805539692594176000000
- 135439528224000 cubed (1354395282240003) is 2484484530506661690661184130023424000000000
-
The
square root of 135439528224000 is 11637848.9517608021 -
The
cube root of 135439528224000 is 51354.8908820995
Scales and comparisons
How big is 135439528224000?- 135,439,528,224,000 seconds is equal to 4,306,558 years, 2 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 135,439,528,224,000 would take you about ten million, seven hundred sixty-six thousand, three hundred ninety-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 135439528224000 cubic inches would be around 4279.6 feet tall.
Recreational maths with 135439528224000
- 135439528224000 backwards is 000422825934531
- 135439528224000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135439528224000's digits is 48
- More coming soon!
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"Number 135439528224000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 135439528224000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/135439528224000/
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Numbermatics. 2024. "Number 135439528224000 - Facts about the integer". https://numbermatics.com/n/135439528224000/
The information we have on file for 135439528224000 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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