137381287842000
137,381,287,842,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137381287842000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1260 divisors.
137381287842000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 137381287842000:
24 × 36 × 53 × 172 × 5712
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 571 × 571)See below for interesting mathematical facts about the number 137381287842000 from the Numbermatics database.
Names of 137381287842000
- Cardinal: 137381287842000 can be written as One hundred thirty-seven trillion, three hundred eighty-one billion, two hundred eighty-seven million, eight hundred forty-two thousand.
Scientific notation
- Scientific notation: 1.37381287842 × 1014
Factors of 137381287842000
Divisors of 137381287842000
- Number of divisors d(n): 1260
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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 34 36 40 45 48 50 51 54 60 68 72 75 80 81 85 90 100 102 108 120 125 135 136 144 150 153 162 170 180 200 204 216 225 240 243 250 255 270 272 289 300 306 324 340 360 375 400 405 408 425 432 450 459 486 500 510 540 571 578 600 612 648 675 680 720 729 750 765 810 816 850 867 900 918 972 1000 1020 1080 1125 1142 1156 1200 1215 1224 1275 1296 1350 1360 1377 1445 1458 1500 1530 1620 1700 1713 1734 1800 1836 1944 2000 2025 2040 2125 2160 2250 2284 2295 2312 2430 2448 2550 2601 2700 2754 2855 2890 2916 3000 3060 3240 3375 3400 3426 3468 3600 3645 3672 3825 3888 4050 4080 4131 4250 4335 4500 4568 4590 4624 4860 5100 5139 5202 5400 5508 5710 5780 5832 6000 6075 6120 6375 6480 6750 6800 6852 6885 6936 7225 7290 7344 7650 7803 8100 8262 8500 8565 8670 9000 9136 9180 9707 9720 10125 10200 10278 10404 10800 11016 11420 11475 11560 11664 12150 12240 12393 12750 13005 13500 13704 13770 13872 14275 14450 14580 15300 15417 15606 16200 16524 17000 17130 17340 18000 18225 18360 19125 19414 19440 20250 20400 20556 20655 20808 21675 22032 22840 22950 23120 23409 24300 24786 25500 25695 26010 27000 27408 27540 28550 28900 29121 29160 30375 30600 30834 31212 32400 33048 34000 34260 34425 34680 36125 36450 36720 38250 38828 39015 40500 41112 41310 41616 42825 43350 45680 45900 46251 46818 48535 48600 49572 51000 51390 52020 54000 55080 57100 57375 57800 58242 58320 60750 61200 61668 61965 62424 65025 66096 68520 68850 69360 70227 71375 72250 72900 76500 77085 77656 78030 81000 82224 82620 85650 86700 87363 91125 91800 92502 93636 97070 97200 99144 102000 102780 103275 104040 108375 110160 114200 114750 115600 116484 117045 121500 123336 123930 124848 128475 130050 137040 137700 138753 140454 142750 144500 145605 145800 153000 154170 155312 156060 162000 165019 165240 171300 172125 173400 174726 182250 183600 185004 187272 194140 195075 198288 205560 206550 208080 210681 214125 216750 228400 229500 231255 232968 234090 242675 243000 246672 247860 256950 260100 262089 275400 277506 280908 285500 289000 291210 291600 306000 308340 309825 312120 325125 326041 330038 330480 342600 344250 346800 349452 351135 364500 370008 374544 385425 388280 390150 411120 413100 416259 421362 428250 433500 436815 459000 462510 465936 468180 485350 486000 495057 495720 513900 516375 520200 524178 550800 555012 561816 571000 578000 582420 585225 616680 619650 624240 642375 650250 652082 660076 685200 688500 693765 698904 702270 728025 729000 740016 770850 776560 780300 786267 825095 826200 832518 842724 856500 867000 873630 918000 925020 936360 970700 975375 978123 990114 991440 1027800 1032750 1040400 1048356 1053405 1110024 1123632 1142000 1156275 1164840 1170450 1213375 1233360 1239300 1284750 1300500 1304164 1310445 1320152 1377000 1387530 1397808 1404540 1456050 1458000 1485171 1541700 1549125 1560600 1572534 1630205 1650190 1652400 1665036 1685448 1713000 1734000 1747260 1755675 1850040 1872720 1927125 1941400 1950750 1956246 1980228 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7922796300 8019923400 8081252226 8314045500 8480326410 8803107000 8911026000 8979169140 9422584900 9507355560 9623908080 9903495375 9976854600 10024904250 10176391692 10563728400 10775002968 11085394000 11223961425 11307101880 11778231125 11884194450 11972225520 12029885100 12471068250 12720489615 13204660500 13366539000 13468753710 13568522256 14133877350 14152806000 14965281900 15037356375 15264587538 15845592600 16039846800 16162504452 16628091000 16960652820 17606214000 17958338280 18706602375 18845169800 19014711120 19806990750 19953709200 20049808500 20203130565 20352783384 21200816025 21550005936 22447922850 22614203760 22896881307 23556462250 23768388900 24059770200 24942136500 25440979230 26409321000 26733078000 26937507420 28267754700 29710486125 29930563800 30074712750 30529175076 31691185200 32325008904 33256182000 33671884275 33921305640 35334693375 35916676560 37413204750 37690339600 38161468845 39613981500 40099617000 40406261130 40705566768 42401632050 44895845700 45793762614 47112924500 47536777800 48119540400 49884273000 50881958460 52818642000 53875014840 56119807125 56535509400 59420972250 59861127600 60149425500 61058350152 63602448075 64650017808 67343768550 67842611280 68690643921 70669386750 74826409500 76322937690 79227963000 80199234000 80812522260 84803264100 89791691400 91587525228 94225849000 95073555600 99768546000 101015652825 101763916920 106004080125 107750029680 112239614250 113071018800 114484406535 118841944500 120298851000 122116700304 127204896150 134687537100 137381287842 141338773500 149652819000 152645875380 158455926000 161625044520 168359421375 169606528200 179583382800 183175050456 188451698000 190807344225 202031305650 203527833840 212008160250 224479228500 228968813070 237683889000 240597702000 254409792300 269375074200 274762575684 282677547000 299305638000 305291750760 318012240375 323250089040 336718842750 339213056400 343453219605 366350100912 381614688450 404062611300 424016320500 448958457000 457937626140 475367778000 505078264125 508819584600 538750148400 549525151368 565355094000 572422032675 610583501520 636024480750 673437685500 686906439210 763229376900 808125222600 848032641000 897916914000 915875252280 954036721125 1010156528250 1017639169200 1099050302736 1144844065350 1272048961500 1346875371000 1373812878420 1526458753800 1616250445200 1696065282000 1717266098025 1831750504560 1908073442250 2020313056500 2289688130700 2544097923000 2693750742000 2747625756840 2862110163375 3052917507600 3434532196050 3816146884500 4040626113000 4579376261400 5088195846000 5495251513680 5724220326750 6869064392100 7632293769000 8081252226000 8586330490125 9158752522800 11448440653500 13738128784200 15264587538000 17172660980250 22896881307000 27476257568400 34345321960500 45793762614000 68690643921000 137381287842000
- Sum of all divisors σ(n): 530002961537868
- Sum of proper divisors (its aliquot sum) s(n): 392621673695868
- 137381287842000 is an abundant number, because the sum of its proper divisors (392621673695868) is greater than itself. Its abundance is 255240385853868
Bases of 137381287842000
- Binary: 111110011110010100100101101110001010000110100002
- Hexadecimal: 0x7CF292DC50D0
- Base-36: 1CP43BP900
Squares and roots of 137381287842000
- 137381287842000 squared (1373812878420002) is 18873618249126457016964000000
- 137381287842000 cubed (1373812878420003) is 2592881981303265856505171960951688000000000
-
The
square root of 137381287842000 is 11720976.4030988475 -
The
cube root of 137381287842000 is 51599.1476535789
Scales and comparisons
How big is 137381287842000?- 137,381,287,842,000 seconds is equal to 4,368,300 years, 1 day, 21 hours.
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To count from 1 to 137,381,287,842,000 would take you about ten million, nine hundred twenty thousand, seven hundred fifty 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 137381287842000 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137381287842000
- 137381287842000 backwards is 000248782183731
- 137381287842000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137381287842000's digits is 54
- More coming soon!
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The information we have on file for 137381287842000 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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