138531386400
138,531,386,400 is an even composite number composed of eight prime numbers multiplied together.
138531386400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138531386400:
25 × 3 × 52 × 11 × 19 × 31 × 59 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 19 × 31 × 59 × 151)See below for interesting mathematical facts about the number 138531386400 from the Numbermatics database.
Names of 138531386400
- Cardinal: 138531386400 can be written as One hundred thirty-eight billion, five hundred thirty-one million, three hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.385313864 × 1011
Factors of 138531386400
Divisors of 138531386400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 31 32 33 38 40 44 48 50 55 57 59 60 62 66 75 76 80 88 93 95 96 100 110 114 118 120 124 132 150 151 152 155 160 165 176 177 186 190 200 209 220 228 236 240 248 264 275 285 295 300 302 304 310 330 341 352 354 372 380 400 418 440 453 456 465 472 475 480 496 528 550 570 589 590 600 604 608 620 627 649 660 682 708 744 755 760 775 800 825 836 880 885 906 912 930 944 950 992 1023 1045 1056 1100 1121 1140 1178 1180 1200 1208 1240 1254 1298 1320 1364 1416 1425 1475 1488 1510 1520 1550 1650 1661 1672 1705 1760 1767 1770 1812 1824 1829 1860 1888 1900 1947 2046 2090 2200 2242 2265 2280 2325 2356 2360 2400 2416 2480 2508 2596 2640 2728 2832 2850 2869 2945 2950 2976 3020 3040 3100 3135 3245 3300 3322 3344 3363 3410 3534 3540 3624 3658 3720 3775 3800 3894 4092 4180 4400 4425 4484 4530 4560 4650 4681 4712 4720 4832 4960 4983 5016 5115 5192 5225 5280 5456 5487 5605 5664 5700 5738 5890 5900 6040 6200 6270 6479 6490 6600 6644 6688 6726 6820 7068 7080 7248 7316 7440 7550 7600 7788 8184 8305 8360 8525 8607 8800 8835 8850 8909 8968 9060 9120 9145 9300 9362 9424 9440 9735 9966 10032 10230 10384 10450 10912 10974 11210 11325 11400 11476 11780 11800 12080 12331 12400 12540 12958 12980 13200 13288 13452 13640 14043 14136 14160 14345 14496 14632 14725 14880 15100 15200 15576 15675 16225 16368 16610 16720 16815 17050 17214 17670 17700 17818 17936 18120 18290 18600 18724 18848 19437 19470 19932 20064 20119 20460 20768 20900 21948 22420 22650 22800 22952 23405 23560 23600 24160 24662 24800 24915 25080 25575 25916 25960 26400 26576 26727 26904 27280 27435 28025 28086 28272 28320 28690 29264 29450 30200 31152 31350 31559 32395 32450 32736 33220 33440 33630 34100 34428 34751 35340 35400 35636 35872 36240 36580 36993 37200 37448 38874 38940 39864 40238 40920 41525 41800 43035 43896 44175 44545 44840 45300 45600 45725 45904 46810 47120 47200 48675 49324 49830 50160 51150 51491 51832 51920 53152 53454 53808 54560 54870 56050 56172 56544 57380 58528 58900 60357 60400 61655 62304 62700 63118 64790 64900 66440 67260 68200 68856 69502 70215 70680 70800 71272 71725 72480 73160 73986 74400 74896 77748 77880 79728 80476 81840 83050 83600 84075 86070 87792 88350 88939 89090 89680 90600 91450 91808 93620 94240 94677 97185 97350 97999 98648 99660 100320 100595 102300 102982 103664 103840 104253 106908 107616 109740 112100 112344 114760 117025 117800 120714 120800 123310 124575 125400 126236 129580 129800 132880 133635 134520 136400 137175 137712 139004 140430 141360 141600 142544 143450 146320 147972 149792 154473 155496 155760 157795 159456 160952 161975 163680 166100 167200 168150 169271 172140 173755 175584 176700 177878 178180 179360 181200 182900 184965 187240 189354 194370 194700 195998 197296 199320 201190 204600 205964 207328 208506 213816 215175 219480 222725 224200 224688 229520 234050 235600 241428 246620 249150 250800 252472 257455 259160 259600 265760 266817 267270 269040 272800 274350 275424 276179 278008 280860 282720 285088 286900 292640 293997 295944 301785 308275 308946 310992 311520 315590 321904 323950 332200 336300 338542 344280 347510 351075 353400 355756 356360 362400 365800 369930 374480 378708 382261 388740 389400 391996 394592 398640 402380 409200 411928 417012 427632 430350 438960 444695 445450 448400 449376 459040 468100 471200 473385 482856 485925 489995 493240 498300 501600 502975 504944 507813 514910 518320 519200 521265 533634 534540 538080 548700 552358 556016 561720 573800 587994 591888 603570 616550 617892 621984 631180 643808 647900 664400 668175 672600 677084 688560 695020 702150 706800 711512 712720 731600 739860 748960 757416 764522 772365 777480 778800 783992 788975 797280 804760 818400 823856 828537 834024 846355 855264 860700 868775 877920 889390 890900 896800 924825 936200 946770 965712 971850 978329 979990 986480 996600 1005950 1009888 1015626 1029820 1036640 1042530 1067268 1069080 1097400 1104716 1112032 1123440 1146783 1147600 1175988 1183776 1207140 1233100 1235784 1262360 1287275 1295800 1328800 1334085 1336350 1345200 1354168 1377120 1380895 1390040 1404300 1413600 1423024 1425440 1463200 1469985 1479720 1508925 1514832 1529044 1544730 1554960 1557600 1567984 1577950 1609520 1647712 1657074 1668048 1692710 1721400 1737550 1778780 1781800 1849650 1861981 1872400 1893540 1911305 1931424 1943700 1956658 1959980 1972960 1993200 2011900 2031252 2059640 2085060 2134536 2138160 2194800 2209432 2223475 2246880 2293566 2295200 2351976 2366925 2414280 2449975 2466200 2471568 2524720 2539065 2574550 2591600 2606325 2668170 2672700 2690400 2708336 2761790 2780080 2808600 2846048 2934987 2939970 2959440 3017850 3029664 3037969 3058088 3089460 3109920 3135968 3155900 3219040 3314148 3336096 3385420 3442800 3475100 3557560 3563600 3699300 3723962 3744800 3787080 3822610 3861825 3887400 3913316 3919960 3986400 4023800 4062504 4119280 4142685 4170120 4231775 4269072 4276320 4389600 4418864 4446950 4587132 4703952 4733850 4828560 4891645 4899950 4932400 4943136 5049440 5078130 5149100 5183200 5212650 5247401 5336340 5345400 5416672 5523580 5560160 5585943 5617200 5733915 5869974 5879940 5918880 6035700 6075938 6116176 6178920 6311800 6628296 6670425 6770840 6885600 6904475 6950200 7115120 7127200 7349925 7398600 7447924 7574160 7645220 7723650 7774800 7826632 7839920 8047600 8125008 8238560 8285370 8340240 8463550 8538144 8837728 8893900 9113907 9174264 9309905 9407904 9467700 9556525 9657120 9783290 9799900 9864800 10156260 10298200 10425300 10494802 10672680 10690800 11047160 11171886 11234400 11467830 11739948 11759880 12071400 12151876 12232352 12357840 12623600 12695325 13256592 13340850 13541680 13808950 13900400 14230240 14674935 14699850 14797200 14895848 15148320 15189845 15290440 15447300 15549600 15653264 15679840 15742203 16095200 16250016 16570740 16680480 16927100 17787800 18227814 18348528 18619810 18935400 19113050 19566580 19599800 20312520 20596400 20713425 20850600 20989604 21345360 21381600 22094320 22343772 22935660 23479896 23519760 24142800 24303752 24458225 24715680 25247200 25390650 26237005 26513184 26681700 27083360 27617900 27800800 27929715 28669575 29349870 29399700 29594400 29791696 30379690 30580880 30894600 31306528 31484406 33141480 33854200 35575600 36455628 36697056 37239620 37870800 38226100 39133160 39199600 40625040 41192800 41426850 41701200 41979208 42690720 44188640 44687544 45569535 45871320 46549525 46959792 47039520 48285600 48607504 48916450 50781300 52474010 53363400 55235800 55859430 57339150 57721411 58699740 58799400 59583392 60759380 61161760 61789200 62968812 66282960 67708400 71151200 72911256 73374675 74479240 75741600 75949225 76452200 78266320 78399200 78711015 81250080 82853700 83402400 83958416 89375088 91139070 91742640 93099050 93919584 97215008 97832900 101562600 104948020 106726800 110471600 111718860 114678300 115442822 117399480 117598800 121518760 123578400 125937624 131185025 132565920 135416800 139648575 145822512 146749350 148958480 151898450 152904400 156532640 157422030 165707400 167916832 173164233 178750176 182278140 183485280 186198100 195665800 203125200 209896040 213453600 220943200 223437720 227847675 229356600 230885644 234798960 235197600 243037520 251875248 262370050 279297150 288607055 291645024 293498700 297916960 303796900 305808800 314844060 331414800 346328466 364556280 372396200 391331600 393555075 406250400 419792080 446875440 455695350 458713200 461771288 469597920 486075040 503750496 524740100 558594300 577214110 586997400 607593800 629688120 662829600 692656932 729112560 744792400 782663200 787110150 839584160 865821165 893750880 911390700 917426400 923542576 1049480200 1117188600 1154428220 1173994800 1215187600 1259376240 1385313864 1443035275 1458225120 1489584800 1574220300 1731642330 1822781400 1847085152 2098960400 2234377200 2308856440 2347989600 2430375200 2518752480 2770627728 2886070550 3148440600 3463284660 3645562800 4197920800 4329105825 4468754400 4617712880 5541255456 5772141100 6296881200 6926569320 7291125600 8658211650 9235425760 11544282200 12593762400 13853138640 17316423300 23088564400 27706277280 34632846600 46177128800 69265693200 138531386400
- Sum of all divisors σ(n): 547164979200
- Sum of proper divisors (its aliquot sum) s(n): 408633592800
- 138531386400 is an abundant number, because the sum of its proper divisors (408633592800) is greater than itself. Its abundance is 270102206400
Bases of 138531386400
- Binary: 100000010000010001110100110100001000002
- Hexadecimal: 0x20411D3420
- Base-36: 1RN20DUO
Squares and roots of 138531386400
- 138531386400 squared (1385313864002) is 19190945017906104960000
- 138531386400 cubed (1385313864003) is 2658548219656705545132716544000000
-
The
square root of 138531386400 is 372198.0472812827 -
The
cube root of 138531386400 is 5174.2736519365
Scales and comparisons
How big is 138531386400?- 138,531,386,400 seconds is equal to 4,404 years, 45 weeks, 1 day, 12 hours, 40 minutes.
-
To count from 1 to 138,531,386,400 would take you about eight thousand, eight hundred nine 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 138531386400 cubic inches would be around 431.2 feet tall.
Recreational maths with 138531386400
- 138531386400 backwards is 004683135831
- The number of decimal digits it has is: 12
- The sum of 138531386400's digits is 42
- More coming soon!
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The information we have on file for 138531386400 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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