138144523140
138,144,523,140 is an even composite number composed of seven prime numbers multiplied together.
138144523140 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138144523140:
22 × 37 × 5 × 13 × 17 × 31 × 461
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 17 × 31 × 461)See below for interesting mathematical facts about the number 138144523140 from the Numbermatics database.
Names of 138144523140
- Cardinal: 138144523140 can be written as One hundred thirty-eight billion, one hundred forty-four million, five hundred twenty-three thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.3814452314 × 1011
Factors of 138144523140
Divisors of 138144523140
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 27 30 31 34 36 39 45 51 52 54 60 62 65 68 78 81 85 90 93 102 108 117 124 130 135 153 155 156 162 170 180 186 195 204 221 234 243 255 260 270 279 306 310 324 340 351 372 390 403 405 442 459 461 465 468 486 510 527 540 558 585 612 620 663 702 729 765 780 806 810 837 884 918 922 930 972 1020 1053 1054 1105 1116 1170 1209 1215 1326 1377 1383 1395 1404 1458 1530 1581 1612 1620 1674 1755 1836 1844 1860 1989 2015 2106 2108 2187 2210 2295 2305 2340 2418 2430 2511 2635 2652 2754 2766 2790 2916 3060 3159 3162 3315 3348 3510 3627 3645 3978 4030 4131 4149 4185 4212 4374 4420 4590 4610 4743 4836 4860 5022 5265 5270 5508 5532 5580 5967 5993 6045 6318 6324 6630 6851 6885 6915 7020 7254 7290 7533 7837 7905 7956 8060 8262 8298 8370 8748 9180 9220 9477 9486 9945 10044 10530 10540 10881 10935 11934 11986 12090 12393 12447 12555 12636 13260 13702 13770 13830 14229 14291 14508 14580 15066 15674 15795 15810 16524 16596 16740 17901 17979 18135 18954 18972 19890 20553 20655 20745 21060 21762 21870 22599 23511 23715 23868 23972 24180 24786 24894 25110 27404 27540 27660 28431 28458 28582 29835 29965 30132 31348 31590 31620 32643 34255 35802 35958 36270 37179 37341 37665 37908 39185 39780 41106 41310 41490 42687 42873 43524 43740 45198 47022 47385 47430 49572 49788 50220 53703 53937 54405 56862 56916 57164 59670 59930 61659 61965 62235 63180 65286 67797 68510 70533 71145 71455 71604 71916 72540 74358 74682 75330 78370 82212 82620 82980 85374 85746 89505 89895 90396 94044 94770 94860 97929 101881 102765 107406 107874 108810 112023 112995 113724 117555 119340 119860 123318 123930 124470 128061 128619 130572 135594 137020 141066 142155 142290 142910 148716 149364 150660 156740 161109 161811 163215 170748 171492 179010 179790 184977 185783 185895 186705 189540 195858 203762 205530 211599 213435 214365 214812 215748 217620 224046 225990 235110 242947 246636 247860 248940 256122 257238 268515 269685 271188 282132 284310 284580 285820 293787 305643 308295 322218 323622 326430 336069 338985 352665 358020 359580 369954 371566 371790 373410 384183 385857 391716 407524 411060 423198 426870 428730 448092 451980 470220 483327 485433 485894 489645 509405 512244 514476 537030 539370 554931 557349 560115 568620 587574 611286 616590 634797 640305 643095 644436 647244 652860 672138 677970 705330 728841 739908 743132 743580 746820 768366 771714 805545 809055 846396 853740 857460 881361 916929 924885 928915 966654 970866 971788 979290 1008207 1018810 1057995 1074060 1078740 1109862 1114698 1120230 1152549 1157571 1175148 1214735 1222572 1233180 1269594 1280610 1286190 1344276 1355940 1410660 1456299 1457682 1468935 1528215 1536732 1543428 1611090 1618110 1664793 1672047 1680345 1762722 1833858 1849770 1857830 1904391 1920915 1929285 1933308 1941732 1958580 2016414 2037620 2115990 2186523 2219724 2229396 2240460 2305098 2315142 2416635 2427165 2429470 2539188 2561220 2572380 2750787 2774655 2786745 2912598 2915364 2937870 3056430 3158311 3173985 3222180 3236220 3329586 3344094 3360690 3472713 3525444 3644205 3667716 3699540 3715660 3808782 3841830 3858570 4032828 4231980 4368897 4373046 4406805 4584645 4610196 4630284 4833270 4854330 4858940 4994379 5016141 5041035 5501574 5549310 5573490 5713173 5762745 5787855 5825196 5875740 6112860 6316622 6347970 6559569 6659172 6688188 6721380 6945426 7281495 7288410 7617564 7683660 7717140 8252361 8323965 8360235 8737794 8746092 8813610 9169290 9474933 9521955 9666540 9708660 9988758 10032282 10082070 10418139 10932615 11003148 11098620 11146980 11426346 11525490 11575710 12633244 12695940 13106691 13119138 13753935 13890852 14562990 14576820 14983137 15048423 15791555 16504722 16647930 16720470 17139519 17363565 17475588 17627220 18338580 18949866 19043910 19678707 19977516 20064564 20164140 20836278 21844485 21865230 22852692 23050980 23151420 24757083 24971895 25080705 26213382 26238276 27507870 28424799 28565865 29125980 29966274 30096846 31254417 31583110 32797845 33009444 33295860 33440940 34279038 34727130 37899732 38087820 39357414 41261805 41672556 43688970 43730460 45145269 47374665 49514166 49943790 50161410 52090695 52426764 55015740 56849598 57131730 59036121 59932548 60193692 62508834 63166220 65533455 65595690 68558076 69454260 74271249 74915685 75242115 78714828 82523610 85274397 85697595 87377940 90290538 94749330 98393535 99028332 99887580 100322820 104181390 113699196 114263460 118072242 123785415 125017668 131066910 131191380 135435807 142123995 148542498 149831370 150484230 156272085 165047220 170548794 171395190 177108363 180581076 189498660 196787070 208362780 222813747 225726345 236144484 247570830 255823191 262133820 270871614 284247990 295180605 297084996 299662740 300968460 312544170 341097588 342790380 354216726 371356245 393574140 406307421 426371985 445627494 451452690 495141660 511646382 531325089 541743228 568495980 590361210 625088340 677179035 708433452 742712490 767469573 812614842 852743970 885541815 891254988 902905380 1023292764 1062650178 1114068735 1180722420 1279115955 1354358070 1485424980 1534939146 1625229684 1705487940 1771083630 2031537105 2125300356 2228137470 2302408719 2558231910 2656625445 2708716140 3069878292 3542167260 3837347865 4063074210 4456274940 4604817438 5116463820 5313250890 6907226157 7674695730 8126148420 9209634876 10626501780 11512043595 13814452314 15349391460 23024087190 27628904628 34536130785 46048174380 69072261570 138144523140
- Sum of all divisors σ(n): 513234247680
- Sum of proper divisors (its aliquot sum) s(n): 375089724540
- 138144523140 is an abundant number, because the sum of its proper divisors (375089724540) is greater than itself. Its abundance is 236945201400
Bases of 138144523140
- Binary: 100000001010100000111000100011100001002
- Hexadecimal: 0x202A0E2384
- Base-36: 1RGNOK90
Squares and roots of 138144523140
- 138144523140 squared (1381445231402) is 19083909273577995459600
- 138144523140 cubed (1381445231403) is 2636337546245455984363527135144000
-
The
square root of 138144523140 is 371677.9831251779 -
The
cube root of 138144523140 is 5169.4525961609
Scales and comparisons
How big is 138144523140?- 138,144,523,140 seconds is equal to 4,392 years, 29 weeks, 3 days, 22 hours, 39 minutes.
-
To count from 1 to 138,144,523,140 would take you about eight thousand, seven hundred eighty-five 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 138144523140 cubic inches would be around 430.8 feet tall.
Recreational maths with 138144523140
- 138144523140 backwards is 041325441831
- 138144523140 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138144523140's digits is 36
- More coming soon!
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The information we have on file for 138144523140 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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