138371308584960
138,371,308,584,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138371308584960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138371308584960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138371308584960:
217 × 3 × 5 × 115 × 19 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 11 × 11 × 19 × 23)See below for interesting mathematical facts about the number 138371308584960 from the Numbermatics database.
Names of 138371308584960
- Cardinal: 138371308584960 can be written as One hundred thirty-eight trillion, three hundred seventy-one billion, three hundred eight million, five hundred eighty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3837130858496 × 1014
Factors of 138371308584960
Divisors of 138371308584960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 23 24 30 32 33 38 40 44 46 48 55 57 60 64 66 69 76 80 88 92 95 96 110 114 115 120 121 128 132 138 152 160 165 176 184 190 192 209 220 228 230 240 242 253 256 264 276 285 304 320 330 345 352 363 368 380 384 418 437 440 456 460 480 484 506 512 528 552 570 605 608 627 640 660 690 704 726 736 759 760 768 836 874 880 912 920 960 968 1012 1024 1045 1056 1104 1140 1210 1216 1254 1265 1280 1311 1320 1331 1380 1408 1452 1472 1518 1520 1536 1672 1748 1760 1815 1824 1840 1920 1936 2024 2048 2090 2112 2185 2208 2280 2299 2420 2432 2508 2530 2560 2622 2640 2662 2760 2783 2816 2904 2944 3036 3040 3072 3135 3344 3496 3520 3630 3648 3680 3795 3840 3872 3993 4048 4096 4180 4224 4370 4416 4560 4598 4807 4840 4864 5016 5060 5120 5244 5280 5324 5520 5566 5632 5808 5888 6072 6080 6144 6270 6555 6655 6688 6897 6992 7040 7260 7296 7360 7590 7680 7744 7986 8096 8192 8349 8360 8448 8740 8832 9120 9196 9614 9680 9728 10032 10120 10240 10488 10560 10648 11040 11132 11264 11495 11616 11776 12144 12160 12288 12540 13110 13310 13376 13794 13915 13984 14080 14421 14520 14592 14641 14720 15180 15360 15488 15972 16192 16384 16698 16720 16896 17480 17664 18240 18392 19228 19360 19456 19965 20064 20240 20480 20976 21120 21296 22080 22264 22528 22990 23232 23552 24035 24288 24320 24576 25080 25289 26220 26620 26752 27588 27830 27968 28160 28842 29040 29184 29282 29440 30360 30613 30720 30976 31944 32384 32768 33396 33440 33792 34485 34960 35328 36480 36784 38456 38720 38912 39930 40128 40480 40960 41745 41952 42240 42592 43923 44160 44528 45056 45980 46464 47104 48070 48576 48640 49152 50160 50578 52440 52877 53240 53504 55176 55660 55936 56320 57684 58080 58368 58564 58880 60720 61226 61440 61952 63888 64768 65536 66792 66880 67584 68970 69920 70656 72105 72960 73205 73568 75867 76912 77440 77824 79860 80256 80960 81920 83490 83904 84480 85184 87846 88320 89056 90112 91839 91960 92928 94208 96140 97152 97280 98304 100320 101156 104880 105754 106480 107008 110352 111320 111872 112640 115368 116160 116736 117128 117760 121440 122452 122880 123904 126445 127776 129536 131072 133584 133760 135168 137940 139840 141312 144210 145920 146410 147136 151734 153065 153824 154880 155648 158631 159720 160512 161051 161920 163840 166980 167808 168960 170368 175692 176640 178112 180224 183678 183920 185856 188416 192280 194304 194560 196608 200640 202312 209760 211508 212960 214016 219615 220704 222640 223744 225280 230736 232320 233472 234256 235520 242880 244904 245760 247808 252890 255552 259072 264385 267168 267520 270336 275880 278179 279680 282624 288420 291840 292820 294272 303468 306130 307648 309760 311296 317262 319440 321024 322102 323840 327680 333960 335616 336743 337920 340736 351384 353280 356224 360448 367356 367840 371712 376832 379335 384560 388608 389120 393216 401280 404624 419520 423016 425920 428032 439230 441408 445280 447488 450560 459195 461472 464640 466944 468512 471040 483153 485760 489808 491520 495616 505780 511104 518144 528770 534336 535040 540672 551760 556358 559360 565248 576840 581647 583680 585640 588544 606936 612260 615296 619520 622592 634524 638880 642048 644204 647680 655360 667920 671232 673486 675840 681472 702768 706560 712448 720896 734712 735680 743424 753664 758670 769120 777216 778240 793155 802560 805255 809248 834537 839040 846032 851840 856064 878460 882816 890560 894976 901120 918390 922944 929280 933888 937024 942080 966306 971520 979616 983040 991232 1010229 1011560 1022208 1036288 1057540 1068672 1070080 1081344 1103520 1112716 1118720 1130496 1153680 1163294 1167360 1171280 1177088 1213872 1224520 1230592 1239040 1245184 1269048 1277760 1284096 1288408 1295360 1335840 1342464 1346972 1351680 1362944 1390895 1405536 1413120 1424896 1441792 1469424 1471360 1486848 1507328 1517340 1538240 1554432 1556480 1586310 1605120 1610510 1618496 1669074 1678080 1683715 1692064 1703680 1712128 1744941 1756920 1765632 1781120 1789952 1802240 1836780 1845888 1858560 1867776 1874048 1884160 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13193297920 13512823104 13673054208 13792993280 14224024320 14294556672 14392688640 15046901760 15172292608 15667041280 15831957504 16379179520 16551591936 16573399040 16891028880 17091317760 17326735360 17868195840 18017097472 18230738944 18800449536 18965365760 19059408896 19655015424 19789946880 20062535680 20689489920 20792082432 21109276672 22068789248 22521371840 22758438912 22788423680 23500561920 23824261120 24568769280 24860098560 25067266048 25990103040 26206687232 26386595840 27025646208 27346108416 27585986560 28448048640 28589113344 28785377280 30093803520 30344585216 31334082560 31663915008 32758359040 33103183872 33782057760 34182635520 34653470720 35736391680 36034194944 36461477888 37600899072 37930731520 38118817792 39310030848 39579893760 41378979840 44137578496 45042743680 45516877824 45576847360 47001123840 47648522240 49137538560 49720197120 50134532096 51980206080 52413374464 52773191680 54051292416 54692216832 55171973120 56896097280 57178226688 60187607040 60689170432 62668165120 63327830016 65516718080 66206367744 67564115520 68365271040 71472783360 72068389888 75201798144 75861463040 76237635584 78620061696 79159787520 82757959680 90085487360 91033755648 91153694720 94002247680 95297044480 98275077120 100269064192 103960412160 104826748928 105546383360 108102584832 109384433664 110343946240 113792194560 114356453376 121378340864 125336330240 131033436160 132412735488 135128231040 136730542080 142945566720 144136779776 150403596288 151722926080 157240123392 158319575040 165515919360 180170974720 182067511296 182307389440 188004495360 190594088960 196550154240 200538128384 209653497856 216205169664 220687892480 227584389120 228712906752 242756681728 250672660480 262066872320 270256462080 273461084160 285891133440 288273559552 300807192576 303445852160 314480246784 316639150080 331031838720 360341949440 364135022592 376008990720 381188177920 393100308480 401076256768 419306995712 432410339328 455168778240 485513363456 501345320960 524133744640 540512924160 546922168320 571782266880 576547119104 601614385152 606891704320 628960493568 662063677440 720683898880 728270045184 752017981440 786200616960 838613991424 864820678656 910337556480 1002690641920 1048267489280 1081025848320 1143564533760 1153094238208 1203228770304 1213783408640 1257920987136 1441367797760 1456540090368 1504035962880 1572401233920 1729641357312 1820675112960 2005381283840 2096534978560 2162051696640 2306188476416 2427566817280 2515841974272 2882735595520 3008071925760 3144802467840 3459282714624 3641350225920 4193069957120 4324103393280 4612376952832 5765471191040 6016143851520 6289604935680 6918565429248 7282700451840 8648206786560 9224753905664 11530942382080 12579209871360 13837130858496 17296413573120 23061884764160 27674261716992 34592827146240 46123769528320 69185654292480 138371308584960
- Sum of all divisors σ(n): 534991165148160
- Sum of proper divisors (its aliquot sum) s(n): 396619856563200
- 138371308584960 is an abundant number, because the sum of its proper divisors (396619856563200) is greater than itself. Its abundance is 258248547978240
Bases of 138371308584960
- Binary: 111110111011001000101001011001000000000000000002
- Hexadecimal: 0x7DD914B20000
- Base-36: 1D1QWGHN9C
Squares and roots of 138371308584960
- 138371308584960 squared (1383713085849602) is 19146619039514224997538201600
- 138371308584960 cubed (1383713085849603) is 2649342731475293270869898789919639207936000
-
The
square root of 138371308584960 is 11763133.4509542991 -
The
cube root of 138371308584960 is 51722.7986630427
Scales and comparisons
How big is 138371308584960?- 138,371,308,584,960 seconds is equal to 4,399,779 years, 31 weeks, 2 days, 6 hours, 56 minutes.
-
To count from 1 to 138,371,308,584,960 would take you about ten million, nine hundred ninety-nine thousand, four hundred forty-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 138371308584960 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138371308584960
- 138371308584960 backwards is 069485803173831
- 138371308584960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138371308584960's digits is 66
- More coming soon!
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"Number 138371308584960 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138371308584960 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138371308584960/
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The information we have on file for 138371308584960 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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