138939055200
138,939,055,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138939055200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138939055200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138939055200:
25 × 32 × 52 × 11 × 17 × 37 × 2789
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 17 × 37 × 2789)See below for interesting mathematical facts about the number 138939055200 from the Numbermatics database.
Names of 138939055200
- Cardinal: 138939055200 can be written as One hundred thirty-eight billion, nine hundred thirty-nine million, fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.389390552 × 1011
Factors of 138939055200
Divisors of 138939055200
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 32 33 34 36 37 40 44 45 48 50 51 55 60 66 68 72 74 75 80 85 88 90 96 99 100 102 110 111 120 132 136 144 148 150 153 160 165 170 176 180 185 187 198 200 204 220 222 225 240 255 264 272 275 288 296 300 306 330 333 340 352 360 370 374 396 400 407 408 425 440 444 450 480 495 510 528 544 550 555 561 592 600 612 629 660 666 680 720 740 748 765 792 800 814 816 825 850 880 888 900 925 935 990 1020 1056 1100 1110 1122 1184 1200 1221 1224 1258 1275 1320 1332 1360 1440 1480 1496 1530 1584 1628 1632 1650 1665 1683 1700 1760 1776 1800 1850 1870 1887 1980 2035 2040 2200 2220 2244 2400 2442 2448 2475 2516 2550 2640 2664 2720 2775 2789 2805 2960 2992 3060 3145 3168 3256 3300 3330 3366 3400 3552 3600 3663 3700 3740 3774 3825 3960 4070 4080 4400 4440 4488 4675 4884 4896 4950 5032 5100 5280 5328 5550 5578 5610 5661 5920 5984 6105 6120 6290 6512 6600 6660 6732 6800 6919 7200 7326 7400 7480 7548 7650 7920 8140 8160 8325 8367 8415 8800 8880 8976 9350 9435 9768 9900 10064 10175 10200 10656 11100 11156 11220 11322 12210 12240 12580 13024 13200 13320 13464 13600 13838 13945 14025 14652 14800 14960 15096 15300 15725 15840 16280 16650 16734 16830 17760 17952 18315 18700 18870 19536 19800 20128 20350 20400 20757 22200 22312 22440 22644 24420 24480 25101 25160 26400 26640 26928 27676 27890 28050 28305 29304 29600 29920 30192 30525 30600 30679 31450 32560 33300 33468 33660 34595 36630 37400 37740 39072 39600 40700 40800 41514 41835 42075 44400 44624 44880 45288 47175 47413 48840 50202 50320 53280 53856 55352 55780 56100 56610 58608 60384 61050 61200 61358 62271 62900 65120 66600 66936 67320 69190 69725 73260 74800 75480 79200 81400 83028 83670 84150 88800 89248 89760 90576 91575 92037 94350 94826 97680 100404 100640 103193 103785 110704 111560 112200 113220 117216 122100 122400 122716 124542 125505 125800 133200 133872 134640 138380 139450 141525 142239 146520 149600 150960 153395 162800 166056 167340 168300 172975 181152 183150 184074 188700 189652 195360 200808 206386 207570 209175 221408 223120 224400 226440 237065 244200 245432 249084 251010 251600 266400 267744 269280 276111 276760 278900 283050 284478 293040 301920 306790 309579 311355 325600 332112 334680 336600 345950 366300 368148 377400 379304 401616 412772 415140 418350 426717 446240 448800 452880 460185 474130 488400 490864 498168 502020 503200 515965 518925 521543 552222 553520 557800 566100 568956 586080 613580 619158 622710 627525 664224 669360 673200 691900 711195 732600 736296 754800 758608 766975 803232 825544 830280 836700 853434 905760 920370 928737 948260 976800 981728 996336 1004040 1031930 1037850 1043086 1104444 1107040 1115600 1132200 1135123 1137912 1185325 1227160 1238316 1245420 1255050 1338720 1346400 1380555 1383800 1422390 1465200 1472592 1509600 1517216 1533950 1547895 1556775 1564629 1651088 1660560 1673400 1706868 1754281 1840740 1857474 1896520 1992672 2008080 2063860 2075700 2086172 2133585 2208888 2231200 2264400 2270246 2275824 2300925 2370650 2454320 2476632 2490840 2510100 2579825 2607715 2761110 2767600 2844780 2930400 2945184 3067900 3095790 3113550 3129258 3302176 3321120 3346800 3405369 3413736 3508562 3555975 3681480 3714948 3793040 4016160 4127720 4151400 4172344 4267170 4417776 4528800 4540492 4551648 4601850 4643685 4693887 4741300 4908640 4953264 4981680 5020200 5159650 5215430 5262843 5522220 5535200 5675615 5689560 6135800 6191580 6227100 6258516 6693600 6810738 6827472 6902775 7017124 7111950 7362960 7429896 7586080 7739475 7823145 8255440 8302800 8344688 8534340 8771405 8835552 9080984 9203700 9287370 9387774 9482600 9906528 9963360 10040400 10216107 10319300 10430860 10525686 10667925 11044440 11351230 11379120 12271600 12383160 12454200 12517032 13038575 13621476 13654944 13805550 14034248 14223900 14725920 14859792 15478950 15646290 15788529 16510880 16605600 16689376 17026845 17068680 17542810 18161968 18407400 18574740 18775548 18965200 19297091 20080800 20432214 20638600 20861720 21051372 21335850 22088880 22702460 22758240 23218425 23469435 24543200 24766320 24908400 25034064 26077150 26314215 27242952 27611100 28068496 28378075 28447800 29719584 30957900 31292580 31577058 34053690 34137360 35085620 36323936 36814800 37149480 37551096 37930400 38594182 39115725 40864428 41277200 41723440 42102744 42671700 43857025 44177760 45404920 46436850 46938870 49532640 49816800 50068128 51080535 52154300 52628430 54485904 55222200 56136992 56756150 56895600 57891273 61915800 62585160 63154116 68107380 68274720 70171240 73629600 74298960 75102192 77188364 78231450 78942645 81728856 82554400 83446880 84205488 85134225 85343400 87714050 90809840 92873700 93877740 96485455 102161070 104308600 105256860 108971808 110444400 113512300 113791200 115782546 117347175 123831600 125170320 126308232 131571075 136214760 140342480 148597920 150204384 154376728 156462900 157885290 163457712 168410976 170268450 170686800 173673819 175428100 181619680 185747400 187755480 192970910 204322140 208617200 210513720 220888800 227024600 231565092 234694350 247663200 250340640 252616464 255402675 263142150 272429520 280684960 289456365 308753456 312925800 315770580 326915424 340536900 341373600 347347638 350856200 371494800 375510960 385941820 394713225 408644280 417234400 421027440 454049200 463130184 469388700 482427275 505232928 510805350 526284300 544859040 578912730 617506912 625851600 631541160 681073800 694695276 701712400 742989600 751021920 771883640 789426450 817288560 842054880 868369095 908098400 926260368 938777400 964854550 1021610700 1052568600 1157825460 1251703200 1263082320 1362147600 1389390552 1403424800 1447281825 1543767280 1578852900 1634577120 1736738190 1852520736 1877554800 1929709100 2043221400 2105137200 2315650920 2526164640 2724295200 2778781104 2894563650 3087534560 3157705800 3473476380 3755109600 3859418200 4086442800 4210274400 4341845475 4631301840 5557562208 5789127300 6315411600 6946952760 7718836400 8172885600 8683690950 9262603680 11578254600 12630823200 13893905520 15437672800 17367381900 23156509200 27787811040 34734763800 46313018400 69469527600 138939055200
- Sum of all divisors σ(n): 581416224480
- Sum of proper divisors (its aliquot sum) s(n): 442477169280
- 138939055200 is an abundant number, because the sum of its proper divisors (442477169280) is greater than itself. Its abundance is 303538114080
Bases of 138939055200
- Binary: 100000010110010110100110111100011000002
- Hexadecimal: 0x205969BC60
- Base-36: 1RTSQ540
Squares and roots of 138939055200
- 138939055200 squared (1389390552002) is 19304061059868647040000
- 138939055200 cubed (1389390552003) is 2682088005181260455839876608000000
-
The
square root of 138939055200 is 372745.2953425435 -
The
cube root of 138939055200 is 5179.3442817713
Scales and comparisons
How big is 138939055200?- 138,939,055,200 seconds is equal to 4,417 years, 43 weeks, 1 day, 22 hours.
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To count from 1 to 138,939,055,200 would take you about eight thousand, eight hundred thirty-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 138939055200 cubic inches would be around 431.6 feet tall.
Recreational maths with 138939055200
- 138939055200 backwards is 002550939831
- 138939055200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138939055200's digits is 45
- More coming soon!
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