138513517278136000
138,513,517,278,136,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138513517278136000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
138513517278136000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138513517278136000:
26 × 53 × 72 × 113 × 13 × 45192
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 13 × 4519 × 4519)See below for interesting mathematical facts about the number 138513517278136000 from the Numbermatics database.
Names of 138513517278136000
- Cardinal: 138513517278136000 can be written as One hundred thirty-eight quadrillion, five hundred thirteen trillion, five hundred seventeen billion, two hundred seventy-eight million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38513517278136 × 1017
Factors of 138513517278136000
Divisors of 138513517278136000
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 104 110 112 121 125 130 140 143 154 160 175 176 182 196 200 208 220 224 242 245 250 260 275 280 286 308 320 325 350 352 364 385 392 400 416 440 448 455 484 490 500 520 539 550 560 572 605 616 637 650 700 704 715 728 770 784 800 832 847 875 880 910 968 980 1000 1001 1040 1078 1100 1120 1144 1210 1225 1232 1274 1300 1331 1375 1400 1430 1456 1540 1568 1573 1600 1625 1694 1750 1760 1820 1925 1936 1960 2000 2002 2080 2156 2200 2240 2275 2288 2420 2450 2464 2548 2600 2662 2695 2750 2800 2860 2912 3025 3080 3136 3146 3185 3250 3388 3500 3520 3575 3640 3850 3872 3920 4000 4004 4160 4235 4312 4400 4519 4550 4576 4840 4900 4928 5005 5096 5200 5324 5390 5500 5600 5720 5824 5929 6050 6125 6160 6292 6370 6500 6655 6776 7000 7007 7150 7280 7700 7744 7840 7865 8000 8008 8470 8624 8800 9038 9100 9152 9317 9625 9680 9800 10010 10192 10400 10648 10780 11000 11011 11200 11375 11440 11858 12100 12250 12320 12584 12740 13000 13310 13475 13552 14000 14014 14300 14560 15125 15400 15680 15730 15925 16016 16940 17248 17303 17600 17875 18076 18200 18634 19250 19360 19600 20020 20384 20800 21175 21296 21560 22000 22022 22595 22750 22880 23716 24200 24500 24640 25025 25168 25480 26000 26620 26950 27104 28000 28028 28600 29120 29645 30250 30800 31460 31633 31850 32032 33275 33880 34496 34606 35035 35750 36152 36400 37268 38500 38720 39200 39325 40040 40768 42350 42592 43120 44000 44044 45190 45500 45760 46585 47432 48400 49000 49709 50050 50336 50960 52000 53240 53900 54208 55055 56000 56056 57200 58747 59290 60500 61600 62920 63266 63700 64064 65219 66550 67375 67760 69212 70070 71500 72304 72800 74536 77000 77077 78400 78650 79625 80080 84700 85184 86240 86515 88000 88088 90380 91000 93170 94864 96800 98000 99418 100100 100672 101920 104000 105875 106480 107800 110110 112112 112975 114400 117494 118580 121000 121121 123200 125125 125840 126532 127400 130438 133100 134750 135520 138424 140140 143000 144608 145600 148225 149072 154000 154154 157300 158165 159250 160160 166375 169400 172480 173030 175175 176176 180760 182000 186340 189728 193600 196000 196625 198836 200200 203840 211750 212960 215600 220220 221431 224224 225950 228800 232925 234988 237160 242000 242242 248545 250250 251680 253064 254800 260876 266200 269500 271040 275275 276848 280280 286000 289216 293735 296450 298144 308000 308308 314600 316330 318500 320320 326095 332750 338800 346060 347963 350350 352352 361520 364000 372680 379456 385385 392000 393250 397672 400400 411229 423500 425920 431200 432575 440440 442862 448448 451900 465850 469976 474320 484000 484484 497090 500500 503360 506128 509600 521752 532400 539000 546799 550550 553696 560560 564875 572000 587470 592900 596288 605605 616000 616616 629200 632660 637000 646217 652190 665500 677600 692120 695926 700700 704704 723040 728000 741125 745360 770770 786500 790825 795344 800800 822458 847000 847847 862400 865150 875875 880880 885724 903800 931700 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217446651928000 224859605971000 228947962443200 242156498738000 247345566568100 251842758687520 256982406824000 266372148611800 277027034556272 282680647506400 286184953054000 304425312699200 309181958210125 314803448359400 332965185764750 346283793195340 353350809383000 359775369553600 380531640874000 393504310449250 395752906508960 426195437778880 432854741494175 449719211942000 484312997476000 494691133136200 503685517375040 532744297223600 554054069112544 565361295012800 572369906108000 618363916420250 629606896718800 665930371529500 692567586390680 706701618766000 761063281748000 787008620898500 791505813017920 865709482988350 899438423884000 968625994952000 989382266272400 1065488594447200 1108108138225088 1144739812216000 1236727832840500 1259213793437600 1331860743059000 1385135172781360 1413403237532000 1522126563496000 1574017241797000 1731418965976700 1798876847768000 1978764532544800 2130977188894400 2164273707470875 2473455665681000 2518427586875200 2663721486118000 2770270345562720 2826806475064000 3148034483594000 3462837931953400 3957529065089600 4328547414941750 4946911331362000 5327442972236000 5540540691125440 6296068967188000 6925675863906800 8657094829883500 9893822662724000 10654885944472000 12592137934376000 13851351727813600 17314189659767000 19787645325448000 27702703455627200 34628379319534000 69256758639068000 138513517278136000
- Sum of all divisors σ(n): 472773455801285184
- Sum of proper divisors (its aliquot sum) s(n): 334259938523149184
- 138513517278136000 is an abundant number, because the sum of its proper divisors (334259938523149184) is greater than itself. Its abundance is 195746421245013184
Bases of 138513517278136000
- Binary: 1111011000001100101001111011000011111010000000110110000002
- Hexadecimal: 0x1EC194F61F406C0
- Base-36: 11VUXZDUD70G
Squares and roots of 138513517278136000
- 138513517278136000 squared (1385135172781360002) is 19185994468760480205983634496000000
- 138513517278136000 cubed (1385135172781360003) is 2657519576346876501502842581054946596179456000000000
-
The
square root of 138513517278136000 is 372174041.6500538259 -
The
cube root of 138513517278136000 is 517405.1166369487
Scales and comparisons
How big is 138513517278136000?- 138,513,517,278,136,000 seconds is equal to 4,404,301,399 years, 1 day, 16 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,513,517,278,136,000 would take you about thirteen billion, two hundred twelve million, nine hundred four thousand, one hundred ninety-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 138513517278136000 cubic inches would be around 43117.1 feet tall.
Recreational maths with 138513517278136000
- 138513517278136000 backwards is 000631872715315831
- The number of decimal digits it has is: 18
- The sum of 138513517278136000's digits is 61
- More coming soon!
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"Number 138513517278136000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138513517278136000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138513517278136000/
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The information we have on file for 138513517278136000 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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