10138826880
10,138,826,880 is an even composite number composed of seven prime numbers multiplied together.
10138826880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 10138826880:
27 × 32 × 5 × 7 × 13 × 23 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 23 × 29 × 29)See below for interesting mathematical facts about the number 10138826880 from the Numbermatics database.
Names of 10138826880
- Cardinal: 10138826880 can be written as Ten billion, one hundred thirty-eight million, eight hundred twenty-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.013882688 × 1010
Factors of 10138826880
Divisors of 10138826880
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 23 24 26 28 29 30 32 35 36 39 40 42 45 46 48 52 56 58 60 63 64 65 69 70 72 78 80 84 87 90 91 92 96 104 105 112 115 116 117 120 126 128 130 138 140 144 145 156 160 161 168 174 180 182 184 192 195 203 207 208 210 224 230 232 234 240 252 260 261 273 276 280 288 290 299 312 315 320 322 336 345 348 360 364 368 377 384 390 406 414 416 420 435 448 455 460 464 468 480 483 504 520 522 546 552 560 576 580 585 598 609 624 630 640 644 667 672 690 696 720 728 736 754 780 805 812 819 828 832 840 841 870 896 897 910 920 928 936 960 966 1008 1015 1035 1040 1044 1092 1104 1120 1131 1152 1160 1170 1196 1218 1248 1260 1288 1305 1334 1344 1365 1380 1392 1440 1449 1456 1472 1495 1508 1560 1610 1624 1638 1656 1664 1680 1682 1740 1794 1820 1827 1840 1856 1872 1885 1920 1932 2001 2016 2030 2070 2080 2088 2093 2184 2208 2240 2262 2320 2340 2392 2415 2436 2496 2520 2523 2576 2610 2639 2668 2688 2691 2730 2760 2784 2880 2898 2912 2944 2990 3016 3045 3120 3220 3248 3276 3312 3335 3360 3364 3393 3480 3588 3640 3654 3680 3712 3744 3770 3864 4002 4032 4060 4095 4140 4160 4176 4186 4205 4368 4416 4480 4485 4524 4640 4669 4680 4784 4830 4872 4992 5040 5046 5152 5220 5278 5336 5382 5460 5520 5568 5655 5760 5796 5824 5887 5980 6003 6032 6090 6240 6279 6440 6496 6552 6624 6670 6720 6728 6786 6960 7176 7245 7280 7308 7360 7488 7540 7569 7728 7917 8004 8064 8120 8190 8280 8320 8352 8372 8410 8671 8736 8832 8970 9048 9135 9280 9338 9360 9568 9660 9744 10005 10080 10092 10304 10440 10465 10556 10672 10764 10920 10933 11040 11136 11310 11592 11648 11774 11960 12006 12064 12180 12480 12558 12615 12880 12992 13104 13195 13248 13340 13440 13455 13456 13572 13920 14007 14352 14490 14560 14616 14720 14976 15080 15138 15456 15834 16008 16240 16380 16560 16704 16744 16820 16965 17342 17472 17661 17940 18096 18270 18560 18676 18720 18837 19136 19320 19343 19488 20010 20160 20184 20608 20880 20930 21112 21344 21528 21840 21866 22080 22620 23184 23345 23548 23751 23920 24012 24128 24360 24960 25116 25230 25760 25984 26013 26208 26390 26496 26680 26910 26912 27144 27840 28014 28704 28980 29120 29232 29435 30015 30160 30276 30912 31395 31668 32016 32480 32760 32799 33120 33408 33488 33640 33930 34684 34944 35322 35880 36192 36540 37352 37440 37674 37845 38272 38640 38686 38976 39585 40020 40320 40368 41760 41860 42021 42224 42688 43056 43355 43680 43732 44160 45240 46368 46690 47096 47502 47840 48024 48256 48720 50232 50460 51520 52026 52416 52780 52983 53360 53820 53824 54288 54665 55680 56028 57408 57960 58029 58240 58464 58870 60030 60320 60552 60697 61824 62790 63336 64032 64960 65520 65598 66240 66976 67280 67860 69368 70035 70644 71760 72384 73080 74704 74880 75348 75690 76531 77280 77372 77952 78039 79170 80040 80736 83520 83720 84042 84448 85376 86112 86710 87360 87464 88305 90480 92736 93380 94185 94192 95004 95680 96048 96715 97440 98397 100464 100920 103040 104052 104832 105560 105966 106720 107640 107648 108576 109330 112056 114816 115920 116058 116928 117740 118755 120060 120640 121104 121394 125580 126672 128064 129920 130065 131040 131196 132480 133952 134560 135401 135720 138736 140070 141288 143520 144768 146160 149408 150696 151380 153062 154560 154744 156078 158340 160080 161472 163995 167040 167440 168084 168896 172224 173420 174087 174720 174928 176610 180960 182091 185472 186760 188370 188384 190008 191360 192096 193430 194880 196794 200928 201840 208104 210105 211120 211932 213440 215280 217152 218660 224112 229593 231840 232116 233856 235480 237510 240120 241280 242208 242788 251160 251459 253344 256128 260130 262080 262392 264915 267904 269120 270802 271440 277472 280140 282576 287040 290145 292320 298816 301392 302760 303485 306124 309120 309488 312156 316680 320160 322944 327990 334880 336168 337792 344448 346840 348174 349856 353220 361920 364182 373520 376740 376768 380016 382655 384192 386860 389760 390195 393588 401856 403680 406203 416208 420210 422240 423864 426880 430560 434304 437320 448224 459186 463680 464232 470960 475020 480240 484416 485576 491985 502320 502918 506688 520260 524160 524784 529830 538240 541604 542880 546273 554944 560280 565152 574080 580290 584640 597632 602784 605520 606970 612248 618976 624312 633360 640320 655980 669760 672336 677005 688779 693680 696348 699712 706440 723840 728364 747040 753480 753536 754377 760032 765310 768384 773720 780390 787176 803712 807360 812406 832416 840420 844480 847728 861120 870435 874640 896448 910455 918372 927360 928464 941920 950040 960480 968832 971152 983970 1004640 1005836 1013376 1040520 1049568 1059660 1083208 1085760 1092546 1109888 1120560 1130304 1147965 1160580 1169280 1205568 1211040 1213940 1218609 1224496 1237952 1248624 1257295 1266720 1280640 1311960 1339520 1344672 1354010 1377558 1387360 1392696 1399424 1412880 1456728 1494080 1506960 1508754 1520064 1530620 1547440 1560780 1574352 1614720 1624812 1664832 1680840 1688960 1695456 1722240 1740870 1749280 1760213 1792896 1820910 1836744 1856928 1883840 1900080 1920960 1942304 1967940 2009280 2011672 2031015 2081040 2099136 2119320 2166416 2171520 2185092 2241120 2260608 2263131 2295930 2321160 2411136 2422080 2427880 2437218 2448992 2475904 2497248 2514590 2533440 2623920 2689344 2708020 2731365 2755116 2774720 2785392 2825760 2913456 2988160 3013920 3017508 3040128 3061240 3094880 3121560 3148704 3249624 3329664 3361680 3390912 3443895 3481740 3498560 3520426 3641820 3673488 3713856 3767680 3771885 3800160 3841920 3884608 3935880 4018560 4023344 4062030 4162080 4198272 4238640 4332832 4370184 4482240 4526262 4591860 4642320 4844160 4855760 4874436 4897984 4994496 5029180 5066880 5247840 5280639 5378688 5416040 5462730 5510232 5549440 5570784 5651520 5826912 6027840 6035016 6093045 6122480 6189760 6243120 6297408 6499248 6723360 6781824 6887790 6963480 6997120 7040852 7283640 7346976 7427712 7543770 7600320 7769216 7871760 8046688 8124060 8324160 8477280 8665664 8740368 8801065 8964480 9052524 9183720 9284640 9711520 9748872 9795968 9988992 10058360 10495680 10561278 10832080 10925460 11020464 11141568 11303040 11315655 11653824 12055680 12070032 12186090 12244960 12379520 12486240 12594816 12998496 13446720 13775580 13926960 14081704 14567280 14693952 15087540 15200640 15743520 15841917 16093376 16248120 16648320 16954560 17331328 17480736 17602130 18105048 18367440 18569280 19423040 19497744 20116720 20991360 21122556 21664160 21850920 22040928 22283136 22631310 23307648 24140064 24372180 24489920 24972480 25996992 26403195 26893440 27551160 27853920 28163408 29134560 29387904 30175080 31487040 31683834 32186752 32496240 33909120 34961472 35204260 36210096 36734880 37138560 38846080 38995488 40233440 42245112 43328320 43701840 44081856 45262620 48280128 48744360 48979840 49944960 51993984 52806390 55102320 55707840 56326816 58269120 60350160 62974080 63367668 64992480 69922944 70408520 72420192 73469760 77990976 79209585 80466880 84490224 86656640 87403680 88163712 90525240 96560256 97488720 105612780 110204640 111415680 112653632 116538240 120700320 126735336 129984960 140817040 144840384 146939520 155981952 158419170 160933760 168980448 174807360 181050480 194977440 211225560 220409280 225307264 241400640 253470672 259969920 281634080 289680768 316838340 337960896 349614720 362100960 389954880 422451120 440818560 482801280 506941344 563268160 633676680 675921792 724201920 779909760 844902240 1013882688 1126536320 1267353360 1448403840 1689804480 2027765376 2534706720 3379608960 5069413440 10138826880
- Sum of all divisors σ(n): 46567422720
- Sum of proper divisors (its aliquot sum) s(n): 36428595840
- 10138826880 is an abundant number, because the sum of its proper divisors (36428595840) is greater than itself. Its abundance is 26289768960
Bases of 10138826880
- Binary: 10010111000101001000111000100000002
- Hexadecimal: 0x25C523880
- Base-36: 4NOE8W0
Squares and roots of 10138826880
- 10138826880 squared (101388268802) is 102795810502610534400
- 10138826880 cubed (101388268803) is 1042228926675253996345884672000
-
The
square root of 10138826880 is 100691.7418659545 -
The
cube root of 10138826880 is 2164.3586883495
Scales and comparisons
How big is 10138826880?- 10,138,826,880 seconds is equal to 322 years, 19 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 10,138,826,880 would take you about six hundred forty-four 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 10138826880 cubic inches would be around 180.4 feet tall.
Recreational maths with 10138826880
- 10138826880 backwards is 08862883101
- 10138826880 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10138826880's digits is 45
- More coming soon!
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The information we have on file for 10138826880 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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