138597022437120
138,597,022,437,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138597022437120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138597022437120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138597022437120:
28 × 32 × 5 × 132 × 31 × 197 × 11657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 31 × 197 × 11657)See below for interesting mathematical facts about the number 138597022437120 from the Numbermatics database.
Names of 138597022437120
- Cardinal: 138597022437120 can be written as One hundred thirty-eight trillion, five hundred ninety-seven billion, twenty-two million, four hundred thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3859702243712 × 1014
Factors of 138597022437120
Divisors of 138597022437120
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 48 52 60 62 64 65 72 78 80 90 93 96 104 117 120 124 128 130 144 155 156 160 169 180 186 192 195 197 208 234 240 248 256 260 279 288 310 312 320 338 360 372 384 390 394 403 416 465 468 480 496 507 520 558 576 585 591 620 624 640 676 720 744 768 780 788 806 832 845 930 936 960 985 992 1014 1040 1116 1152 1170 1182 1209 1240 1248 1280 1352 1395 1440 1488 1521 1560 1576 1612 1664 1690 1773 1860 1872 1920 1970 1984 2015 2028 2080 2232 2304 2340 2364 2418 2480 2496 2535 2561 2704 2790 2880 2955 2976 3042 3120 3152 3224 3328 3380 3546 3627 3720 3744 3840 3940 3968 4030 4056 4160 4464 4680 4728 4836 4960 4992 5070 5122 5239 5408 5580 5760 5910 5952 6045 6084 6107 6240 6304 6448 6760 7092 7254 7440 7488 7605 7683 7880 7936 8060 8112 8320 8865 8928 9360 9456 9672 9920 9984 10140 10244 10478 10816 11160 11520 11657 11820 11904 12090 12168 12214 12480 12608 12805 12896 13520 14184 14508 14880 14976 15210 15366 15717 15760 16120 16224 16640 17730 17856 18135 18321 18720 18912 19344 19840 20280 20488 20956 21632 22320 23049 23314 23640 23808 24180 24336 24428 24960 25216 25610 25792 26195 27040 28368 29016 29760 29952 30420 30535 30732 31434 31520 32240 32448 33293 34971 35460 35712 36270 36642 37440 37824 38415 38688 39680 40560 40976 41912 43264 44640 46098 46628 47151 47280 48360 48672 48856 49920 50432 51220 51584 52390 54080 54963 56736 58032 58285 59520 60840 61070 61464 62868 63040 64480 64896 66586 69942 70920 71424 72540 73284 74880 75648 76830 77376 78585 79391 81120 81952 83824 89280 91605 92196 93256 94302 94560 96720 97344 97712 99879 102440 103168 104780 104913 108160 109926 113472 115245 116064 116570 119040 121680 122140 122928 125736 126080 128960 129792 133172 139884 141840 145080 146568 149760 151296 151541 153660 154752 157170 158782 162240 163904 166465 167648 174855 178560 183210 184392 186512 188604 189120 193440 194688 195424 199758 204880 209560 209826 216320 219852 226944 230490 232128 233140 235755 238173 243360 244280 245856 251472 252160 257920 266344 274815 279768 283680 290160 293136 299637 303082 307320 309504 314340 317564 324480 327808 332930 335296 349710 357120 361367 366420 368784 373024 377208 378240 386880 389376 390848 396955 399516 409760 419120 419652 439704 453888 454623 460980 464256 466280 471510 476346 486720 488560 491712 499395 502944 515840 524565 532688 549630 559536 567360 580320 586272 599274 606164 614640 628680 635128 648960 655616 665860 670592 699420 714519 722734 732840 737568 746048 754416 756480 757705 773760 781696 793910 799032 819520 838240 839304 879408 909246 921960 928512 932560 943020 952692 973440 977120 983424 998790 1005888 1032083 1049130 1065376 1084101 1099260 1119072 1134720 1160640 1172544 1190865 1198548 1212328 1229280 1257360 1270256 1331720 1341184 1363869 1398840 1429038 1445468 1465680 1475136 1492096 1498185 1508832 1515410 1547520 1563392 1587820 1598064 1639040 1676480 1678608 1758816 1806835 1818492 1843920 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1127465040 1134739008 1139028784 1164289503 1188959616 1194143080 1202629376 1221420460 1260821120 1281407382 1321066240 1322743104 1343410965 1352958048 1387649280 1418423760 1423785980 1432971696 1465704552 1469714560 1486199520 1503286720 1512985344 1552386004 1653428880 1691197560 1708543176 1745752320 1763657472 1791214620 1803944064 1832130690 1850921774 1891231680 1910628928 1940482505 1954272736 1981599360 2081473920 2135678970 2149457544 2198556828 2204571840 2254930080 2269478016 2278057568 2328579006 2377919232 2388286160 2442840920 2521642240 2562814764 2645486208 2686821930 2705916096 2748196035 2776382661 2836847520 2847571960 2865943392 2931409104 2939429120 2972399040 3006573440 3104772008 3203518455 3306857760 3382395120 3417086352 3492868509 3582429240 3607888128 3664261380 3701843548 3782463360 3821257856 3880965010 3908545472 3963198720 4162947840 4271357940 4298915088 4397113656 4409143680 4509860160 4538956032 4556115136 4627304435 4657158012 4776572320 4885681840 5125629528 5290972416 5373643860 5411832192 5496392070 5552765322 5673695040 5695143920 5731886784 5821447515 5862818208 5944798080 6013146880 6209544016 6407036910 6613715520 6764790240 6834172704 6985737018 7164858480 7328522760 7403687096 7564926720 7642515712 7761930020 7817090944 8329147983 8542715880 8597830176 8794227312 8818287360 9019720320 9112230272 9254608870 9314316024 9553144640 9771363680 10251259056 10747287720 10823664384 10992784140 11105530644 11347390080 11390287840 11463773568 11642895030 11725636416 11889596160 12030991531 12419088032 12814073820 13227431040 13529580480 13668345408 13881913305 13971474036 14329716960 14657045520 14807374192 15523860040 15634181888 16658295966 17085431760 17195660352 17464342545 17588454624 18039440640 18224460544 18509217740 18628632048 19106289280 19542727360 20502518112 21494575440 21985568280 22211061288 22694780160 22780575680 22927547136 23285790060 23451272832 24061983062 24838176064 25628147640 26454862080 27059160960 27336690816 27763826610 27942948072 28659433920 29314091040 29614748384 31047720080 33316591932 34170863520 34391320704 34928685090 35176909248 36092974593 37018435480 37257264096 38212578560 39085454720 41005036224 41645739915 42989150880 43971136560 44422122576 45561151360 46571580120 46902545664 48123966124 49676352128 51256295280 54118321920 54673381632 55527653220 55885896144 57318867840 58628182080 59229496768 60154957655 62095440160 66633183864 68341727040 68782641408 69857370180 70353818496 72185949186 74036870960 74514528192 78170909440 82010072448 83291479830 85978301760 87942273120 88844245152 91122302720 93143160240 96247932248 99352704256 102512590560 108278923779 111055306440 111771792288 114637735680 117256364160 118458993536 120309915310 124190880320 133266367728 136683454080 139714740360 140707636992 144371898372 148073741920 149029056384 164020144896 166582959660 171956603520 175884546240 177688490304 180464872965 186286320480 192495864496 205025181120 216557847558 222110612880 223543584576 234512728320 236917987072 240619830620 248381760640 266532735456 273366908160 279429480720 288743796744 296147483840 298058112768 333165919320 343913207040 351769092480 355376980608 360929745930 372572640960 384991728992 410050362240 433115695116 444221225760 447087169152 481239661240 496763521280 533065470912 541394618895 558858961440 577487593488 592294967680 666331838640 703538184960 710753961216 721859491860 745145281920 769983457984 820100724480 866231390232 888442451520 894174338304 962479322480 1066130941824 1082789237790 1117717922880 1154975186976 1184589935360 1332663677280 1443718983720 1490290563840 1539966915968 1732462780464 1776884903040 1924958644960 2132261883648 2165578475580 2235435845760 2309950373952 2665327354560 2887437967440 3079933831936 3464925560928 3553769806080 3849917289920 4331156951160 4470871691520 4619900747904 5330654709120 5774875934880 6929851121856 7699834579840 8662313902320 9239801495808 10661309418240 11549751869760 13859702243712 15399669159680 17324627804640 23099503739520 27719404487424 34649255609280 46199007479040 69298511218560 138597022437120
- Sum of all divisors σ(n): 538772985983232
- Sum of proper divisors (its aliquot sum) s(n): 400175963546112
- 138597022437120 is an abundant number, because the sum of its proper divisors (400175963546112) is greater than itself. Its abundance is 261578941108992
Bases of 138597022437120
- Binary: 111111000001101101000100100101000001111000000002
- Hexadecimal: 0x7E0DA24A0F00
- Base-36: 1D4MLCOU80
Squares and roots of 138597022437120
- 138597022437120 squared (1385970224371202) is 19209134628435544704353894400
- 138597022437120 cubed (1385970224371203) is 2662328863094939943753065499109651120128000
-
The
square root of 138597022437120 is 11772723.6626500327 -
The
cube root of 138597022437120 is 51750.9071152959
Scales and comparisons
How big is 138597022437120?- 138,597,022,437,120 seconds is equal to 4,406,956 years, 31 weeks, 3 days, 3 hours, 12 minutes.
-
To count from 1 to 138,597,022,437,120 would take you about eleven million, seventeen thousand, three hundred ninety-one 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 138597022437120 cubic inches would be around 4312.6 feet tall.
Recreational maths with 138597022437120
- 138597022437120 backwards is 021734220795831
- The number of decimal digits it has is: 15
- The sum of 138597022437120's digits is 54
- More coming soon!
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"Number 138597022437120 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138597022437120 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138597022437120/
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The information we have on file for 138597022437120 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!
Keywords: Divisors of 138597022437120, math, Factors of 138597022437120, curriculum, school, college, exams, university, Prime factorization of 138597022437120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred ninety-seven billion, twenty-two million, four hundred thirty-seven thousand, one hundred twenty.