138753505440
138,753,505,440 is an even composite number composed of six prime numbers multiplied together.
138753505440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138753505440:
25 × 35 × 5 × 11 × 412 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 41 × 41 × 193)See below for interesting mathematical facts about the number 138753505440 from the Numbermatics database.
Names of 138753505440
- Cardinal: 138753505440 can be written as One hundred thirty-eight billion, seven hundred fifty-three million, five hundred five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3875350544 × 1011
Factors of 138753505440
Divisors of 138753505440
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 41 44 45 48 54 55 60 66 72 80 81 82 88 90 96 99 108 110 120 123 132 135 144 160 162 164 165 176 180 193 198 205 216 220 240 243 246 264 270 288 297 324 328 330 352 360 369 386 396 405 410 432 440 451 480 486 492 495 528 540 579 594 615 648 656 660 720 738 772 792 810 820 864 880 891 902 965 972 984 990 1056 1080 1107 1158 1188 1215 1230 1296 1312 1320 1353 1440 1476 1485 1544 1584 1620 1640 1681 1737 1760 1782 1804 1845 1930 1944 1968 1980 2123 2160 2214 2255 2316 2376 2430 2460 2592 2640 2673 2706 2895 2952 2970 3088 3168 3240 3280 3321 3362 3474 3564 3608 3690 3860 3888 3936 3960 4059 4246 4320 4428 4455 4510 4632 4752 4860 4920 5043 5211 5280 5346 5412 5535 5790 5904 5940 6176 6369 6480 6560 6642 6724 6765 6948 7128 7216 7380 7720 7776 7913 7920 8118 8405 8492 8685 8856 8910 9020 9264 9504 9720 9840 9963 10086 10422 10615 10692 10824 11070 11580 11808 11880 12177 12738 12960 13284 13365 13448 13530 13896 14256 14432 14760 15129 15440 15633 15826 15840 16236 16605 16810 16984 17370 17712 17820 18040 18491 18528 19107 19440 19680 19926 20172 20295 20844 21230 21384 21648 22140 23160 23739 23760 24354 25215 25476 26055 26568 26730 26896 27060 27792 28512 29520 30258 30880 31266 31652 31845 32472 33210 33620 33968 34740 35424 35640 36080 36531 36982 38214 38880 39565 39852 40344 40590 41688 42460 42768 43296 44280 45387 46320 46899 47478 47520 48708 49815 50430 50952 52110 53136 53460 53792 54120 55473 55584 57321 59040 60516 60885 62532 63304 63690 64944 66420 67240 67936 69480 71217 71280 72160 73062 73964 75645 76428 78165 79130 79704 80688 81180 83376 84920 85536 87043 88560 90774 92455 92640 93798 94956 95535 97416 99630 100860 101904 104220 106272 106920 108240 109593 110946 114642 118695 121032 121770 125064 126608 127380 129888 132840 134480 136161 138960 142434 142560 146124 147928 151290 152856 156330 158260 159408 161376 162360 166419 166752 169840 171963 174086 177120 181548 182655 184910 187596 189912 191070 194832 199260 201720 203808 208440 213651 213840 216480 219186 221892 226935 229284 234495 237390 242064 243540 250128 253216 254760 261129 265680 268960 272322 277365 277920 284868 286605 292248 295856 302580 305712 312660 316520 318816 324433 324720 332838 339680 343926 348172 356085 363096 365310 369820 375192 379824 382140 389664 398520 403440 408483 416880 427302 427680 435215 438372 443784 453870 458568 468990 474780 484128 487080 499257 500256 509520 515889 522258 531360 544644 547965 554730 569736 573210 584496 591712 605160 611424 625320 633040 640953 648866 649440 665676 680805 687852 696344 712170 726192 730620 739640 750384 759648 764280 783387 797040 806880 816966 832095 833760 854604 859815 870430 876744 887568 907740 917136 937980 949560 973299 974160 998514 1019040 1031778 1044516 1068255 1089288 1095930 1109460 1139472 1146420 1168992 1210320 1250640 1266080 1281906 1297732 1305645 1331352 1361610 1375704 1392688 1424340 1452384 1461240 1479280 1497771 1500768 1528560 1566774 1594080 1622165 1633932 1664190 1709208 1719630 1740860 1753488 1775136 1815480 1834272 1875960 1899120 1922859 1946598 1948320 1997028 2042415 2063556 2089032 2136510 2178576 2191860 2218920 2278944 2292840 2350161 2420640 2496285 2501280 2563812 2579445 2595464 2611290 2662704 2723220 2751408 2785376 2848680 2919897 2922480 2958560 2995542 3057120 3133548 3204765 3244330 3267864 3328380 3418416 3439260 3481720 3506976 3568763 3630960 3751920 3798240 3845718 3893196 3916935 3994056 4084830 4127112 4178064 4273020 4357152 4383720 4437840 4493313 4585680 4700322 4866495 4992570 5127624 5158890 5190928 5222580 5325408 5446440 5502816 5697360 5839794 5844960 5991084 6267096 6409530 6488660 6535728 6656760 6836832 6878520 6963440 7050483 7137526 7261920 7488855 7503840 7691436 7786392 7833870 7988112 8169660 8254224 8356128 8546040 8759691 8767440 8875680 8986626 9171360 9400644 9614295 9732990 9985140 10255248 10317780 10381856 10445160 10706289 10892880 11394720 11679588 11750805 11982168 12534192 12819060 12977320 13071456 13313520 13757040 13926880 14100966 14275052 14599485 14977710 15382872 15572784 15667740 15976224 16339320 16508448 17092080 17519382 17534880 17843815 17973252 18801288 19228590 19465980 19970280 20510496 20635560 20890320 21151449 21412578 21785760 22466565 23359176 23501610 23964336 25068384 25638120 25954640 26279073 26627040 27514080 28201932 28550104 29198970 29955420 30765744 31145568 31335480 32118867 32678640 34184160 35038764 35252415 35687630 35946504 37602576 38457180 38931960 39940560 41271120 41780640 42302898 42825156 43798455 44933130 46718352 47003220 47928672 51276240 51909280 52558146 53531445 56403864 57100208 58397940 59910840 61531488 62670960 64237734 65357280 70077528 70504830 71375260 71893008 75205152 76914360 77863920 78837219 79881120 82542240 84605796 85650312 87596910 89866260 93436704 94006440 96356601 102552480 105116292 105757245 107062890 112807728 114200416 116795880 119821680 125341920 128475468 131395365 140155056 141009660 142750520 143786016 153828720 155727840 157674438 160594335 169211592 171300624 175193820 179732520 188012880 192713202 210232584 211514490 214125780 225615456 233591760 239643360 256950936 262790730 280310112 282019320 285501040 289069803 307657440 315348876 321188670 338423184 342601248 350387640 359465040 376025760 385426404 394186095 420465168 423028980 428251560 467183520 481783005 513901872 525581460 564038640 571002080 578139606 630697752 642377340 676846368 700775280 718930080 770852808 788372190 840930336 846057960 856503120 867209409 963566010 1027803744 1051162920 1128077280 1156279212 1261395504 1284754680 1401550560 1445349015 1541705616 1576744380 1692115920 1713006240 1734418818 1927132020 2102325840 2312558424 2522791008 2569509360 2890698030 3083411232 3153488760 3384231840 3468837636 3854264040 4204651680 4336047045 4625116848 5139018720 5781396060 6306977520 6937675272 7708528080 8672094090 9250233696 11562792120 12613955040 13875350544 15417056160 17344188180 23125584240 27750701088 34688376360 46251168480 69376752720 138753505440
- Sum of all divisors σ(n): 551901325248
- Sum of proper divisors (its aliquot sum) s(n): 413147819808
- 138753505440 is an abundant number, because the sum of its proper divisors (413147819808) is greater than itself. Its abundance is 274394314368
Bases of 138753505440
- Binary: 100000010011100101101001111000101000002
- Hexadecimal: 0x204E5A78A0
- Base-36: 1RQQ9600
Squares and roots of 138753505440
- 138753505440 squared (1387535054402) is 19252535271888109593600
- 138753505440 cubed (1387535054403) is 2671356757581718693566893789184000
-
The
square root of 138753505440 is 372496.3160086285 -
The
cube root of 138753505440 is 5177.0376248135
Scales and comparisons
How big is 138753505440?- 138,753,505,440 seconds is equal to 4,411 years, 48 weeks, 3 days, 8 hours, 24 minutes.
-
To count from 1 to 138,753,505,440 would take you about eight thousand, eight hundred twenty-three 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 138753505440 cubic inches would be around 431.4 feet tall.
Recreational maths with 138753505440
- 138753505440 backwards is 044505357831
- 138753505440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138753505440's digits is 45
- More coming soon!
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