138903068304

Names of 138903068304

• Cardinal: 138903068304 can be written as One hundred thirty-eight billion, nine hundred three million, sixty-eight thousand, three hundred four.

Scientific notation

• Scientific notation: 1.38903068304 × 10¹¹

Factors of 138903068304

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 213

Divisors of 138903068304

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 29 33 36 39 42 44 47 48 49 52 56 58 63 66 72 77 78 84 87 88 91 94 98 99 101 104 112 116 117 126 132 141 143 144 147 154 156 168 174 176 182 188 196 198 202 203 208 231 232 234 252 261 264 273 282 286 294 303 308 312 319 329 336 348 364 376 377 392 396 404 406 423 429 441 462 464 468 504 517 522 528 539 546 564 572 588 606 609 611 616 624 637 638 658 693 696 707 728 752 754 784 792 808 812 819 846 858 882 909 924 936 957 987 1001 1008 1034 1044 1078 1092 1111 1128 1131 1144 1176 1212 1218 1222 1232 1274 1276 1287 1313 1316 1363 1386 1392 1414 1421 1456 1508 1551 1584 1616 1617 1624 1638 1692 1716 1764 1818 1827 1833 1848 1872 1911 1914 1974 2002 2068 2088 2121 2156 2184 2222 2233 2256 2262 2288 2303 2352 2424 2436 2444 2548 2552 2574 2626 2632 2639 2726 2772 2828 2842 2871 2929 2961 3003 3016 3102 3234 3248 3276 3333 3384 3393 3432 3528 3619 3636 3654 3666 3696 3822 3828 3939 3948 4004 4089 4136 4147 4176 4242 4263 4277 4312 4368 4444 4466 4524 4606 4653 4747 4848 4851 4872 4888 4949 5096 5104 5148 5252 5264 5278 5452 5499 5544 5656 5684 5733 5742 5858 5922 6006 6032 6204 6363 6468 6552 6666 6699 6721 6768 6786 6864 6909 7007 7056 7238 7272 7308 7332 7644 7656 7777 7878 7896 7917 8008 8178 8272 8294 8484 8526 8554 8624 8787 8888 8932 9009 9048 9191 9212 9306 9494 9541 9702 9744 9776 9898 9999 10192 10296 10504 10556 10857 10904 10998 11088 11312 11368 11466 11484 11716 11817 11844 12012 12267 12408 12441 12726 12789 12831 12936 13104 13332 13398 13442 13572 13818 14014 14241 14443 14476 14544 14616 14664 14847 14993 15288 15312 15554 15631 15756 15792 15834 16016 16356 16588 16968 17052 17108 17574 17719 17776 17864 18018 18096 18382 18424 18473 18612 18988 19082 19404 19796 19998 20097 20163 20503 20592 20727 21008 21021 21112 21714 21808 21996 22736 22932 22968 23331 23432 23634 23688 23751 24024 24534 24816 24882 25333 25452 25578 25662 25872 26361 26664 26796 26884 27144 27573 27636 28028 28482 28623 28886 28952 29029 29232 29328 29694 29939 29986 30576 31108 31262 31512 31668 32219 32571 32712 33176 33229 33936 34104 34216 35148 35438 35728 36036 36764 36848 36946 37224 37323 37976 38077 38164 38493 38808 39592 39996 40194 40326 41006 41454 42042 42224 42723 43329 43428 43992 44541 44979 45864 45936 46662 46864 46893 47047 47268 47376 47502 48048 49068 49764 50666 50904 51156 51324 52217 52722 53157 53328 53592 53768 54288 54439 55146 55272 55419 56056 56964 57246 57772 57904 58058 59388 59878 59972 60489 61509 61711 62216 62524 63024 63063 63336 64337 64438 65142 65424 66352 66458 66787 68208 68432 69993 70296 70876 72072 73528 73892 74448 74646 75952 75999 76154 76328 76986 77616 79184 79992 80388 80652 82012 82719 82908 84084 85446 85869 86658 86856 87087 87984 89082 89817 89958 91728 93324 93786 94094 94536 95004 96657 98136 99528 99687 101101 101332 101808 102312 102648 104434 104951 105444 106314 107184 107536 108878 110292 110544 110838 112112 113928 114231 114492 115544 116116 118776 119756 119944 120978 123018 123422 124033 124432 125048 126126 126672 128674 128876 129987 130284 132916 133574 134937 137663 139986 140592 140679 141141 141752 143521 144144 147056 147784 149292 151998 152308 152656 153972 156651 159471 159984 160776 161304 163317 164024 165438 165816 166257 168168 170892 171738 173316 173712 174174 178164 179634 179916 184527 185133 186648 187572 188188 189072 190008 193011 193314 194909 196272 199056 199374 200361 202202 202664 203203 204624 205296 208868 209902 210888 212628 217756 220584 221676 225533 227856 227997 228462 228984 231088 232232 232603 237552 239512 239888 241956 246036 246844 248066 250096 252252 257348 257752 259974 260568 261261 265832 266539 267148 269451 269874 275326 279972 281358 282282 283504 287042 289971 295568 298584 299061 303303 303996 304616 307944 313302 314853 318942 321552 322608 326634 328048 329329 330876 331632 332514 336336 341784 342693 343476 346632 348348 356328 359268 359832 365519 369054 370266 372099 373296 375144 376376 380016 386022 386628 389818 398748 400722 404404 405328 406406 412989 417736 418847 419804 421776 423423 425256 430563 431977 435512 441168 443352 451066 455994 456924 457968 464464 465206 469953 479024 483912 489951 492072 493688 496132 504504 514696 515504 519948 521136 522522 531664 533078 534296 538902 539748 550652 555399 559944 562716 564564 574084 579033 579942 584727 597168 598122 601083 606606 607992 609232 609609 615888 626604 629706 637884 653268 658658 661752 665028 676599 678821 683568 685386 686952 693264 696696 697809 707707 712656 718536 719664 731038 734657 738108 740532 744198 750288 752752 772044 773256 779636 797496 799617 801444 808808 812812 825978 835472 837694 839608 846846 850512 861126 863954 868231 871024 886704 902132 909909 911988 913848 930412 939906 944559 963641 967824 979902 984144 987376 987987 992264 1009008 1029392 1039896 1045044 1066156 1068592 1077804 1079496 1096557 1101304 1110798 1116297 1119888 1125432 1129128 1148168 1158066 1159884 1169454 1196244 1202166 1213212 1215984 1219218 1238967 1253208 1256541 1259412 1275768 1291689 1295931 1306536 1317316 1323504 1330056 1353198 1357642 1364363 1370772 1373904 1393392 1395618 1415414 1437072 1462076 1469314 1476216 1481064 1488396 1514293 1544088 1546512 1559272 1578731 1594992 1599234 1602888 1617616 1625624 1651956 1675388 1679216 1693692 1722252 1727908 1736462 1754181 1789619 1804264 1819818 1823976 1827696 1828827 1860824 1865773 1879812 1889118 1927282 1959804 1975974 1984528 2029797 2036463 2079792 2090088 2093427 2123121 2132312 2155608 2158992 2193114 2202608 2203971 2221596 2232594 2250864 2258256 2296336 2316132 2319768 2338908 2392488 2398851 2404332 2426424 2438436 2477934 2506416 2513082 2518824 2551536 2558633 2583378 2591862 2604693 2613072 2634632 2660112 2706396 2715284 2728726 2741544 2791236 2830828 2890923 2924152 2931929 2938628 2952432 2962128 2963961 2976792 3023839 3028586 3088176 3118544 3157462 3198468 3205776 3251248 3289671 3303912 3350776 3387384 3444504 3455816 3472924 3508362 3579238 3608528 3639636 3647952 3657654 3721648 3731546 3759624 3769623 3778236 3854564 3887793 3919608 3951948 4059594 4072926 4093089 4180176 4186854 4246242 4264624 4311216 4386228 4407942 4443192 4465188 4542879 4632264 4639536 4677816 4736193 4751747 4784976 4797702 4808664 4852848 4876872 4955868 5026164 5037648 5117266 5166756 5183724 5209386 5269264 5368857 5412792 5430568 5457452 5483088 5582472 5597319 5661656 5781846 5848304 5863858 5877256 5927922 5953584 6047678 6057172 6109389 6314924 6369363 6396936 6579342 6607824 6611913 6701552 6745487 6774768 6889008 6911632 6945848 7016724 7158476 7279272 7315308 7463092 7519248 7539246 7556472 7675899 7709128 7775586 7814079 7839216 7903896 8119188 8145852 8186178 8373708 8492484 8672769 8772456 8795787 8815884 8886384 8930376 9071517 9085758 9264528 9355632 9472386 9503494 9550541 9595404 9617328 9753744 9911736 10052328 10234532 10333512 10367448 10418772 10600051 10737714 10825584 10861136 10914904 11164944 11194638 11323312 11563692 11727716 11754512 11855844 12095356 12114344 12218778 12279267 12527333 12629848 12738726 12793872 13158684 13223826 13490974 13628637 13891696 14033448 14208579 14255241 14316952 14558544 14630616 14926184 15078492 15112944 15351798 15418256 15551172 15628158 15807792 16106571 16238376 16291704 16372356 16747416 16791957 16984968 17345538 17544912 17591574 17631768 17860752 18143034 18171516 18944772 19006988 19101082 19190808 19685809 19823472 20104656 20236461 20469064 20523503 20667024 20734896 20837544 21200102 21475428 21829808 22389276 23027697 23127384 23455432 23711688 24190712 24228688 24437556 24558534 25054666 25259696 25477452 26317368 26387361 26447652 26981948 27214551 27257274 28066896 28417158 28510482 28633904 28651623 29261232 29852368 30156984 30703596 31102344 31256316 31800153 32213142 32476752 32583408 32744712 33262229 33494832 33583914 33969936 34691076 35183148 35263536 36286068 36343032 37581999 37889544 38013976 38202164 38381616 39371618 40472922 40938128 41047006 41675088 42400204 42765723 42950856 44778552 46055394 46254768 46910864 47423376 48381424 48875112 49117068 50109332 50954904 52634736 52774722 52895304 53963896 54429102 54514548 56834316 57020964 57303246 59057427 60313968 60709383 61407192 61570509 62204688 62512632 63600306 64426284 65489424 66524458 67167828 69382152 70366296 72572136 72686064 74200357 75163998 75779088 76027952 76404328 78743236 80945844 82094012 84800408 85531446 85901712 85954869 87691331 89557104 92110788 95400459 97750224 98234136 99786687 100218664 101909808 105549444 105790608 107927792 108858204 109029096 112745997 113668632 114041928 114606492 118114854 121418766 122814384 123141018 125025264 127200612 128852568 133048916 134335656 137800663 138764304 140732592 145144272 148400714 150327996 152808656 157486472 161891688 164188024 169600816 171062892 171909738 175382662 177172281 184221576 184711527 190800918 196468272 199573374 200437328 211098888 217716408 218058192 222601071 225491994 227337264 228083856 229212984 236229708 242837532 246282036 254401224 257705136 263073993 266097832 268671312 275601326 296801428 299360061 300655992 314972944 323783376 328376048 342125784 343819476 350765324 354344562 368443152 369423054 381601836 399146748 413401989 422197776 435432816 445202142 450983988 458425968 472459416 485675064 492564072 508802448 526147986 532195664 551202652 593602856 598720122 601311984 667803213 684251568 687638952 701530648 708689124 738846108 763203672 789221979 798293496 826803978 890404284 901967976 944918832 964604641 971350128 985128144 1052295972 1102405304 1187205712 1197440244 1240205967 1335606426 1375277904 1403061296 1417378248 1477692216 1526407344 1578443958 1596586992 1653607956 1780808568 1803935952 1929209282 2104591944 2204810608 2394880488 2480411934 2671212852 2834756496 2893813923 2955384432 3156887916 3307215912 3561617136 3858418564 4209183888 4789760976 4960823868 5342425704 5787627846 6313775832 6614431824 7716837128 8681441769 9921647736 10684851408 11575255692 12627551664 15433674256 17362883538 19843295472 23150511384 34725767076 46301022768 69451534152 138903068304
• Sum of all divisors σ(n): 566828720640
• Sum of proper divisors (its aliquot sum) s(n): 427925652336
• 138903068304 is an abundant number, because the sum of its proper divisors (427925652336) is greater than itself. Its abundance is 289022584032

Bases of 138903068304

• Binary: 10000001010111010001001001111010010000₂
• Hexadecimal: 0x2057449E90
• Base-36: 1RT7ATG0

Squares and roots of 138903068304

• 138903068304 squared (138903068304²) is 19294062384265689436416
• 138903068304 cubed (138903068304³) is 2680004465223294154670142912958464
• The square root of 138903068304 is 372697.0194460911
• The cube root of 138903068304 is 5178.8970722175

Scales and comparisons

• 138,903,068,304 seconds is equal to 4,416 years, 35 weeks, 5 days, 9 hours, 38 minutes, 24 seconds.
• To count from 1 to 138,903,068,304 would take you about eight thousand, eight hundred thirty-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 138903068304 cubic inches would be around 431.6 feet tall.

Recreational maths with 138903068304

• 138903068304 backwards is 403860309831
• The number of decimal digits it has is: 12
• The sum of 138903068304's digits is 45
• More coming soon!