138534221280

Names of 138534221280

• Cardinal: 138534221280 can be written as One hundred thirty-eight billion, five hundred thirty-four million, two hundred twenty-one thousand, two hundred eighty.

Scientific notation

• Scientific notation: 1.3853422128 × 10¹¹

Factors of 138534221280

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 287

Divisors of 138534221280

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 51 52 56 60 65 68 70 78 80 84 85 91 96 102 104 105 112 113 119 120 127 130 136 140 156 160 168 169 170 182 195 204 208 210 221 224 226 238 240 254 255 260 272 273 280 312 336 338 339 340 357 364 381 390 408 416 420 442 452 455 476 480 507 508 510 520 544 546 560 565 595 624 635 663 672 676 678 680 714 728 762 780 791 816 840 845 884 889 904 910 952 1014 1016 1020 1040 1092 1105 1120 1130 1183 1190 1248 1270 1326 1352 1356 1360 1365 1428 1456 1469 1524 1547 1560 1582 1632 1651 1680 1690 1695 1768 1778 1785 1808 1820 1904 1905 1921 2028 2032 2040 2080 2159 2184 2210 2260 2366 2373 2380 2535 2540 2652 2667 2704 2712 2720 2730 2856 2873 2912 2938 3048 3094 3120 3164 3302 3315 3360 3380 3390 3536 3549 3556 3570 3616 3640 3808 3810 3842 3955 4056 4064 4080 4318 4368 4407 4420 4445 4520 4641 4732 4746 4760 4953 5070 5080 5304 5334 5408 5424 5460 5712 5746 5763 5876 5915 6096 6188 6240 6328 6477 6604 6630 6760 6780 7072 7098 7112 7140 7280 7345 7620 7684 7735 7910 8112 8160 8255 8619 8636 8736 8814 8840 8890 9040 9282 9464 9492 9520 9605 9906 10140 10160 10283 10608 10668 10795 10848 10920 11424 11492 11526 11557 11752 11830 11865 12192 12376 12656 12954 13208 13260 13335 13447 13520 13560 14196 14224 14280 14351 14365 14560 14690 15113 15240 15368 15470 15820 16224 16510 17238 17272 17628 17680 17745 17780 18080 18564 18928 18984 19040 19097 19210 19812 20111 20280 20320 20566 21216 21336 21463 21590 21840 22035 22984 23052 23114 23205 23504 23660 23730 24752 24765 24973 25312 25908 26416 26520 26670 26894 27040 27120 28067 28392 28448 28560 28702 28730 28815 29380 30226 30480 30736 30849 30940 31640 32385 33020 34476 34544 34671 35256 35360 35490 35560 37128 37856 37968 38194 38420 39624 40222 40341 40560 41132 42672 42926 43053 43095 43180 43680 44070 45339 45968 46104 46228 46410 47008 47320 47460 49504 49530 49946 51415 51816 52832 53040 53340 53788 54240 56134 56784 57120 57291 57404 57460 57630 57785 58760 60333 60452 60960 61472 61698 61880 63280 64389 64770 66040 67235 68952 69088 69342 70512 70980 71120 71755 74256 74919 75565 75936 76388 76840 79248 80444 80682 81120 82264 84201 85344 85852 86106 86190 86360 88140 90678 91936 92208 92456 92820 94640 94920 95485 99060 99892 100457 100555 102830 103632 106080 106680 107315 107576 112268 113568 114582 114808 114920 115260 115570 117520 120666 120904 123396 123760 124865 126560 128778 129540 132080 133679 134470 137904 138684 140335 141024 141960 142240 143510 148512 149838 150241 151130 152776 153680 154245 158496 160888 161364 164528 168402 171704 172212 172380 172720 173355 174811 176280 181356 184416 184912 185640 186563 189280 189840 190970 196469 198120 199784 200914 201110 201705 205660 207264 213360 214630 215152 215265 224536 226695 229164 229616 229840 230520 231140 235040 241332 241808 243967 246792 247520 249730 257556 259080 264160 267358 268940 275808 277368 280670 283920 286455 287020 299676 300482 301371 301665 302260 305552 307360 308490 321776 321945 322728 324649 329056 336804 343408 344424 344760 345440 346710 349622 352560 362712 364871 369824 371280 373126 374595 379680 381940 392938 396240 399568 401037 401828 402220 403410 411320 421005 426720 429260 430304 430530 449072 450723 453390 458328 459232 459680 461040 462280 482664 483616 487934 493584 499460 502285 515112 518160 524433 534716 537880 554736 559689 561340 567840 572910 574040 589407 599352 600964 602742 603330 604520 611104 616980 643552 643890 645456 649298 668395 673608 686816 688848 689520 693420 699244 705120 725424 729742 731901 742560 746252 749190 751205 763880 785876 792480 799136 802074 803656 804440 806820 822640 842010 858520 861060 874055 898144 901446 906780 916656 922080 924560 932815 965328 973947 975868 982345 987168 998920 1004570 1030224 1036320 1048866 1069432 1075760 1094613 1109472 1119378 1122680 1145820 1148080 1178814 1198704 1201928 1205484 1206660 1209040 1219835 1233960 1287780 1290912 1298596 1305941 1336790 1347216 1377696 1379040 1386840 1398488 1450848 1459484 1463802 1492504 1498380 1502410 1506855 1527760 1571752 1604148 1607312 1608880 1613640 1623245 1645280 1684020 1707769 1717040 1722120 1748110 1802892 1813560 1824355 1833312 1849120 1865630 1930656 1947894 1951736 1964690 1997840 2005185 2009140 2060448 2097732 2138864 2151520 2189226 2238756 2245360 2253615 2272543 2291640 2296160 2357628 2397408 2403856 2410968 2413320 2418080 2425319 2439670 2467920 2554097 2575560 2597192 2611882 2622165 2673580 2694432 2773680 2796976 2798445 2918968 2927604 2947035 2985008 2996760 3004820 3013710 3055520 3143504 3171571 3208296 3214624 3217760 3227280 3246490 3368040 3415538 3434080 3444240 3496220 3605784 3627120 3648710 3659505 3731260 3895788 3903472 3917823 3929380 3995680 4010370 4018280 4195464 4277728 4378452 4477512 4490720 4507230 4545086 4583280 4715256 4807712 4821936 4826640 4850638 4869735 4879340 4935840 5108194 5123307 5151120 5194384 5223764 5244330 5347160 5473065 5547360 5593952 5596890 5837936 5855208 5894070 5970016 5993520 6009640 6027420 6287008 6343142 6416592 6454560 6492980 6529705 6736080 6817629 6831076 6888480 6992440 7211568 7254240 7275957 7297420 7319010 7462520 7662291 7791576 7806944 7835646 7858760 8020740 8036560 8390928 8538845 8756904 8955024 9014460 9090172 9166560 9430512 9514713 9643872 9653280 9701276 9739470 9758680 10216388 10246614 10302240 10388768 10447528 10488660 10694320 10946130 11193780 11362715 11675872 11710416 11788140 11987040 12019280 12054840 12126595 12686284 12770485 12833184 12985960 13059410 13472160 13635258 13662152 13984880 14423136 14551914 14594840 14638020 14925040 15324582 15583152 15671292 15717520 15857855 16041480 16073120 16781856 16977233 17077690 17513808 17910048 18028920 18180344 18861024 19029426 19402552 19478940 19517360 19589115 20432776 20493228 20895056 20977320 21388640 21892260 22200997 22387560 22725430 23420832 23576280 24038560 24109680 24253190 25372568 25540970 25616535 25971920 26118820 27270516 27324304 27969760 29103828 29189680 29276040 29850080 30649164 31166304 31342584 31435040 31715710 32082960 33954466 34088145 34155380 35027616 36057840 36360688 36379785 38058852 38311455 38805104 38957880 39034720 39178230 40865552 40986456 41230423 41790112 41954640 43784520 44401994 44775120 45450860 47152560 47573565 48219360 48506380 50745136 50931699 51081940 51233070 51943840 52237640 54541032 54648608 58207656 58379360 58552080 61298328 62685168 63431420 64165920 66602991 67908932 68176290 68310760 72115680 72721376 72759570 76117704 76622910 77610208 77915760 78356460 81731104 81972912 82460846 83909280 84886165 87569040 88803988 89550240 90901720 94305120 95147130 97012760 101490272 101863398 102163880 102466140 104475280 109082064 111004985 116415312 117104160 122596656 123691269 125370336 126862840 133205982 135817864 136352580 136621520 145519140 152235408 153245820 155831520 156712920 163945824 164921692 169772330 175138080 177607976 181803440 190294260 194025520 203726796 204327760 204932280 206152115 208950560 218164128 222009970 232830624 245193312 247382538 253725680 254658495 266411964 271635728 272705160 273243040 288612961 291038280 304470816 306491640 313425840 329843384 333014955 339544660 355215952 363606880 380588520 388051040 407453592 408655520 409864560 412304230 444019940 494765076 507451360 509316990 532823928 543271456 545410320 577225922 582076560 612983280 618456345 626851680 659686768 666029910 679089320 710431904 761177040 814907184 819729120 824608460 865838883 888039880 989530152 1018633980 1065647856 1090820640 1154451844 1164153120 1225966560 1236912690 1319373536 1332059820 1358178640 1443064805 1522354080 1629814368 1649216920 1731677766 1776079760 1979060304 2037267960 2131295712 2308903688 2473825380 2664119640 2716357280 2886129610 3298433840 3463355532 3552159520 3958120608 4074535920 4329194415 4617807376 4947650760 5328239280 5772259220 6596867680 6926711064 8149071840 8658388830 9235614752 9895301520 10656478560 11544518440 13853422128 17316777660 19790603040 23089036880 27706844256 34633555320 46178073760 69267110640 138534221280
• Sum of all divisors σ(n): 581406916608
• Sum of proper divisors (its aliquot sum) s(n): 442872695328
• 138534221280 is an abundant number, because the sum of its proper divisors (442872695328) is greater than itself. Its abundance is 304338474048

Bases of 138534221280

• Binary: 10000001000001010010000111010111100000₂
• Hexadecimal: 0x20414875E0
• Base-36: 1RN3P59C

Squares and roots of 138534221280

• 138534221280 squared (138534221280²) is 19191730465656004838400
• 138534221280 cubed (138534221280³) is 2658711435075306414643656241152000
• The square root of 138534221280 is 372201.8555569007
• The cube root of 138534221280 is 5174.3089468139

Scales and comparisons

• 138,534,221,280 seconds is equal to 4,404 years, 49 weeks, 6 days, 8 hours, 8 minutes.
• To count from 1 to 138,534,221,280 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 138534221280 cubic inches would be around 431.2 feet tall.

Recreational maths with 138534221280

• 138534221280 backwards is 082122435831
• 138534221280 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138534221280's digits is 39
• More coming soon!