138824029872
138,824,029,872 is an even composite number composed of six prime numbers multiplied together.
What does the number 138824029872 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 840 divisors.
138824029872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138824029872:
24 × 36 × 112 × 19 × 31 × 167
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 31 × 167)See below for interesting mathematical facts about the number 138824029872 from the Numbermatics database.
Names of 138824029872
- Cardinal: 138824029872 can be written as One hundred thirty-eight billion, eight hundred twenty-four million, twenty-nine thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.38824029872 × 1011
Factors of 138824029872
Divisors of 138824029872
- Number of divisors d(n): 840
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 31 33 36 38 44 48 54 57 62 66 72 76 81 88 93 99 108 114 121 124 132 144 152 162 167 171 176 186 198 209 216 228 242 243 248 264 279 297 304 324 334 341 342 363 372 396 418 432 456 484 486 496 501 513 528 558 589 594 627 648 668 682 684 726 729 744 792 836 837 891 912 968 972 1002 1023 1026 1089 1116 1178 1188 1254 1296 1336 1364 1368 1452 1458 1488 1503 1539 1584 1672 1674 1767 1782 1837 1881 1936 1944 2004 2046 2052 2178 2232 2299 2356 2376 2508 2511 2672 2673 2728 2736 2904 2916 3006 3069 3078 3173 3267 3344 3348 3534 3564 3674 3751 3762 3888 4008 4092 4104 4356 4464 4509 4598 4617 4712 4752 5016 5022 5177 5301 5346 5456 5511 5643 5808 5832 6012 6138 6156 6346 6479 6534 6696 6897 7068 7128 7348 7502 7524 7533 8016 8019 8184 8208 8712 9018 9196 9207 9234 9424 9519 9801 10032 10044 10354 10602 10692 11022 11253 11286 11664 12024 12276 12312 12692 12958 13068 13392 13527 13794 13851 14136 14256 14696 15004 15048 15066 15531 15903 16038 16368 16533 16929 17424 18036 18392 18414 18468 19038 19437 19602 20088 20207 20691 20708 21204 21384 22044 22506 22572 22599 24048 24552 24624 25384 25916 26136 27054 27588 27621 27702 28272 28557 29392 29403 30008 30096 30132 31062 31806 32076 33066 33759 33858 34903 36072 36784 36828 36936 38076 38874 39204 40176 40414 40581 41382 41416 42408 42768 44088 45012 45144 45198 46593 47709 49104 49599 50768 50787 51832 52272 54108 55176 55242 55404 56947 57114 58311 58806 60016 60264 60621 62073 62124 63612 64152 66132 67518 67716 69806 71269 72144 73656 73872 76152 77748 78408 80828 81162 82764 82832 82863 84816 85671 88176 88209 90024 90288 90396 93186 95418 98363 99198 101277 101574 103664 104709 108216 110352 110484 110808 113894 114228 116622 117612 120528 121242 121743 124146 124248 127224 128304 132264 135036 135432 139612 139779 142538 143127 147312 148797 152304 152361 155496 156816 161656 162324 165528 165726 170841 171342 174933 176418 180048 180792 181863 186219 186372 190836 196726 198396 202554 203148 209418 213807 216432 220968 221616 227788 228456 233244 235224 242484 243486 248292 248496 248589 254448 257013 264528 270072 270864 279224 279558 285076 286254 295089 297594 303831 304722 310992 314127 323312 324648 331056 331452 341682 342684 349866 352836 361584 363726 372438 372744 381672 383933 393452 396792 405108 406296 418836 419337 427614 429381 441936 446391 455576 456912 466488 470448 484968 486972 496584 497178 512523 514026 524799 540144 545589 558448 558657 559116 570152 572508 590178 595188 607662 609444 626417 628254 641421 649296 662904 683364 685368 699732 705672 727452 744876 745488 763344 767866 771039 786904 793584 810216 812592 837672 838674 855228 858762 885267 892782 911152 911493 932976 942381 969936 973944 993168 994356 1025046 1028052 1049598 1081993 1091178 1117314 1118232 1140304 1145016 1151799 1180356 1190376 1215324 1218888 1252834 1256508 1258011 1282842 1325808 1339173 1366728 1370736 1399464 1411344 1454904 1489752 1535732 1537569 1542078 1573808 1574397 1620432 1636767 1675344 1675971 1677348 1710456 1717524 1770534 1785564 1822986 1879251 1884762 1924263 1947888 1988712 2050092 2056104 2099196 2163986 2182356 2234628 2236464 2290032 2303598 2313117 2360712 2380752 2430648 2437776 2505668 2513016 2516022 2565684 2655801 2678346 2733456 2734479 2798928 2827143 2909808 2979504 3071464 3075138 3084156 3148794 3245979 3273534 3351942 3354696 3420912 3435048 3455397 3541068 3571128 3645972 3758502 3769524 3774033 3848526 3977424 4100184 4112208 4198392 4327972 4364712 4469256 4607196 4612707 4626234 4721424 4723191 4861296 4910301 5011336 5026032 5032044 5131368 5311602 5356692 5468958 5637753 5654286 5772789 6142928 6150276 6168312 6297588 6491958 6547068 6703884 6709392 6870096 6910794 7082136 7142256 7291944 7517004 7539048 7548066 7697052 7967403 8200368 8396784 8481429 8655944 8729424 8938512 9214392 9225414 9252468 9446382 9737937 9820602 10022672 10064088 10262736 10366191 10623204 10713384 10937916 11275506 11308572 11545578 11901923 12300552 12336624 12595176 12983916 13094136 13407768 13821588 13838121 14164272 14583888 14730903 15034008 15078096 15096132 15394104 15934806 16913259 16962858 17311888 17318367 18428784 18450828 18504936 18892764 19475874 19641204 20128176 20732382 21246408 21426768 21875832 22551012 22617144 23091156 23803846 23902209 24601104 25190352 25444287 25967832 26188272 26815536 27643176 27676242 29213811 29461806 30068016 30192264 30788208 31098573 31869612 33826518 33925716 34636734 35705769 36901656 37009872 37785528 38951748 39282408 41464764 41514363 42492816 43751664 45102024 45234288 46182312 47607692 47804418 50739777 50888574 51935664 51955101 55286352 55352484 58427622 58923612 60384528 62197146 63739224 67653036 67851432 69273468 71411538 71706627 73803312 75571056 77903496 78564816 82929528 83028726 87641433 90204048 92364624 93295719 95215384 95608836 101479554 101777148 103910202 107117307 110704968 116855244 117847224 124394292 127478448 135306072 135702864 138546936 142823076 143413254 152219331 155806992 165859056 166057452 175282866 186591438 190430768 191217672 202959108 203554296 207820404 214234614 221409936 233710488 235694448 248788584 262924299 270612144 277093872 279887157 285646152 286826508 304438662 321351921 332114904 350565732 373182876 382435344 405918216 407108592 415640808 428469228 456657993 467420976 497577168 525848598 559774314 571292304 573653016 608877324 642703842 664229808 701131464 746365752 788772897 811836432 831281616 856938456 913315986 964055763 1051697196 1119548628 1147306032 1217754648 1285407684 1402262928 1492731504 1577545794 1713876912 1826631972 1928111526 2103394392 2239097256 2435509296 2570815368 2892167289 3155091588 3653263944 3856223052 4206788784 4478194512 5141630736 5784334578 6310183176 7306527888 7712446104 8676501867 11568669156 12620366352 15424892208 17353003734 23137338312 34706007468 46274676624 69412014936 138824029872
- Sum of all divisors σ(n): 484532321280
- Sum of proper divisors (its aliquot sum) s(n): 345708291408
- 138824029872 is an abundant number, because the sum of its proper divisors (345708291408) is greater than itself. Its abundance is 206884261536
Bases of 138824029872
- Binary: 100000010100101000111010010110101100002
- Hexadecimal: 0x20528E96B0
- Base-36: 1RRW8R00
Squares and roots of 138824029872
- 138824029872 squared (1388240298722) is 19272111269901948336384
- 138824029872 cubed (1388240298723) is 2675432150629375930361173120462848
-
The
square root of 138824029872 is 372590.9685861965 -
The
cube root of 138824029872 is 5177.9145895583
Scales and comparisons
How big is 138824029872?- 138,824,029,872 seconds is equal to 4,414 years, 9 weeks, 14 hours, 31 minutes, 12 seconds.
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To count from 1 to 138,824,029,872 would take you about eight thousand, eight hundred twenty-eight 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 138824029872 cubic inches would be around 431.5 feet tall.
Recreational maths with 138824029872
- 138824029872 backwards is 278920428831
- 138824029872 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138824029872's digits is 54
- More coming soon!
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The information we have on file for 138824029872 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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