138417027840

Names of 138417027840

• Cardinal: 138417027840 can be written as One hundred thirty-eight billion, four hundred seventeen million, twenty-seven thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3841702784 × 10¹¹

Factors of 138417027840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 216

Divisors of 138417027840

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 29 30 32 35 36 39 40 42 45 48 52 56 58 60 63 64 65 70 72 78 80 84 87 90 91 96 104 105 112 116 117 120 126 128 130 140 144 145 156 157 160 168 174 180 182 192 195 203 208 210 224 232 234 240 252 256 260 261 273 280 288 290 312 314 315 320 336 348 360 364 377 384 390 406 416 420 435 448 455 464 468 471 480 504 520 522 546 560 576 580 585 609 624 628 630 640 672 696 720 728 754 768 780 785 812 819 832 840 841 870 896 910 928 936 942 960 1008 1015 1040 1044 1092 1099 1120 1131 1152 1160 1170 1218 1248 1256 1260 1280 1305 1344 1365 1392 1413 1440 1456 1508 1560 1570 1624 1638 1664 1680 1682 1740 1792 1820 1827 1856 1872 1884 1885 1920 2016 2030 2041 2080 2088 2184 2198 2240 2262 2304 2320 2340 2355 2436 2496 2512 2520 2523 2610 2639 2688 2730 2784 2826 2880 2912 3016 3045 3120 3140 3248 3276 3297 3328 3360 3364 3393 3480 3640 3654 3712 3744 3768 3770 3840 4032 4060 4082 4095 4160 4176 4205 4368 4396 4480 4524 4553 4640 4680 4710 4872 4992 5024 5040 5046 5220 5278 5376 5460 5495 5568 5652 5655 5760 5824 5887 6032 6090 6123 6240 6280 6496 6552 6594 6720 6728 6786 6960 7065 7280 7308 7424 7488 7536 7540 7569 7917 8064 8120 8164 8190 8320 8352 8410 8736 8792 8960 9048 9106 9135 9280 9360 9420 9744 9891 9984 10048 10080 10092 10205 10440 10556 10920 10933 10990 11136 11304 11310 11520 11648 11774 12064 12180 12246 12480 12560 12615 12992 13104 13188 13195 13440 13456 13572 13659 13920 14130 14287 14560 14616 14976 15072 15080 15138 15834 16128 16240 16328 16380 16485 16640 16704 16820 16965 17472 17584 17661 18096 18212 18270 18369 18560 18720 18840 19488 19782 20096 20160 20184 20410 20880 21112 21840 21866 21980 22272 22608 22620 22765 23296 23548 23751 24128 24360 24492 24960 25120 25230 25984 26208 26376 26390 26880 26912 27144 27318 27840 28260 28574 29120 29232 29435 29952 30144 30160 30276 30615 31668 31871 32480 32656 32760 32799 32970 33408 33640 33930 34944 35168 35322 36192 36424 36540 36738 37120 37440 37680 37845 38976 39564 39585 40192 40320 40368 40820 40977 41760 42224 42861 43680 43732 43960 45216 45240 45530 47096 47502 48256 48720 48984 49455 49920 50240 50460 51968 52416 52752 52780 52983 53824 54288 54636 54665 55680 56520 57148 58240 58464 58870 59189 60288 60320 60552 61230 63336 63742 64960 65312 65520 65598 65940 66816 67280 67860 68295 69888 70336 70644 71435 72384 72848 73080 73476 74880 75360 75690 76531 77952 79128 79170 80640 80736 81640 81954 83520 84448 85722 87360 87464 87920 88305 90432 90480 91060 91845 94192 95004 95613 96512 97440 97968 98397 98910 100480 100920 104832 105504 105560 105966 107648 108576 109272 109330 111360 113040 114296 116480 116928 117740 118378 118755 120576 120640 121104 122460 126672 127484 128583 129920 130624 131040 131196 131880 132037 134560 135720 136590 140672 141288 142870 144768 145696 146160 146952 149760 150720 151380 153062 155904 158256 158340 159355 161472 163280 163908 163995 167040 168896 171444 174720 174928 175840 176610 177567 180864 180960 182120 183690 188384 190008 191226 194880 195936 196794 197820 200960 201840 204885 209664 211008 211120 211932 214305 215296 217152 218544 218660 226080 228592 229593 233856 235480 236756 237510 241280 242208 244920 253344 254968 257166 259840 261248 262080 262392 263760 264074 264915 269120 271440 273180 281344 282576 285740 286839 289536 291392 292320 293904 295945 301440 302760 306124 316512 316680 318710 322944 326560 327816 327990 334080 337792 342888 349440 349856 351680 353220 355134 361728 361920 364240 367380 376768 380016 382452 382655 389760 391872 393588 395640 396111 403680 409770 414323 422016 422240 423864 428610 434304 437088 437320 452160 457184 459186 467712 470960 473512 475020 478065 482560 484416 489840 491985 506688 509936 514332 522496 524160 524784 527520 528148 529830 532701 538240 542880 546360 565152 571480 573678 582784 584640 587808 591890 602880 605520 612248 633024 633360 637420 642915 645888 653120 655632 655980 660185 675584 685776 688779 699712 703360 706440 710268 723840 728480 734760 753536 760032 764904 765310 779520 783744 787176 791280 792222 807360 819540 828646 844032 844480 847728 857220 868608 874176 874640 887835 904320 914368 918372 924259 941920 947024 950040 956130 968832 979680 983970 1013376 1019872 1028664 1048320 1049568 1055040 1056296 1059660 1065402 1076480 1085760 1092720 1130304 1142960 1147356 1147965 1165568 1169280 1175616 1183780 1188333 1211040 1224496 1242969 1266048 1266720 1274840 1285830 1306240 1311264 1311960 1320370 1371552 1377558 1399424 1406720 1412880 1420536 1434195 1447680 1456960 1469520 1507072 1520064 1529808 1530620 1567488 1574352 1582560 1584444 1614720 1639080 1657292 1688960 1695456 1714440 1716481 1748352 1749280 1775670 1808640 1828736 1836744 1848518 1883840 1894048 1900080 1912260 1937664 1959360 1967940 1980555 2026752 2039744 2057328 2071615 2099136 2110080 2112592 2119320 2130804 2171520 2185440 2260608 2285920 2294712 2295930 2338560 2351232 2367560 2376666 2422080 2448992 2485938 2532096 2533440 2549680 2571660 2612480 2622528 2623920 2640740 2663505 2743104 2755116 2772777 2798848 2825760 2841072 2868390 2913920 2939040 3040128 3059616 3061240 3148704 3165120 3168888 3229440 3278160 3314584 3377920 3390912 3428880 3432962 3443895 3496704 3498560 3551340 3657472 3673488 3697036 3728907 3767680 3788096 3800160 3824520 3918720 3935880 3961110 4079488 4114656 4143230 4198272 4220160 4225184 4238640 4261608 4343040 4370880 4521216 4571840 4589424 4591860 4621295 4702464 4735120 4753332 4844160 4897984 4971876 5066880 5099360 5143320 5149443 5245056 5247840 5281480 5327010 5486208 5510232 5545554 5651520 5682144 5736780 5827840 5878080 5941665 6080256 6119232 6122480 6214845 6297408 6330240 6337776 6556320 6629168 6781824 6857760 6865924 6887790 6997120 7102680 7346976 7394072 7457814 7535360 7576192 7600320 7649040 7837440 7871760 7922220 8158976 8229312 8286460 8318331 8396544 8450368 8477280 8523216 8582405 8741760 9143680 9178848 9183720 9242590 9470240 9506664 9688320 9795968 9943752 10133760 10198720 10286640 10298886 10490112 10495680 10562960 10654020 10972416 11020464 11091108 11303040 11364288 11473560 11756160 11883330 12015367 12238464 12244960 12429690 12594816 12660480 12675552 13112640 13258336 13563648 13715520 13731848 13775580 13863885 13994240 14205360 14693952 14788144 14915628 15152384 15200640 15298080 15448329 15743520 15844440 16458624 16572920 16636662 16900736 16954560 17046432 17164810 17483520 18287360 18357696 18367440 18485180 18644535 18940480 19013328 19591936 19887504 20397440 20573280 20597772 20991360 21125920 21308040 22040928 22182216 22606080 22728576 22947120 23512320 23766660 24030734 24476928 24489920 24859380 25189632 25351104 25747215 26225280 26516672 27431040 27463696 27551160 27727770 28410720 29387904 29576288 29831256 30401280 30596160 30896658 31487040 31688880 32917248 33145840 33273324 33801472 33909120 34092864 34329620 36046101 36715392 36734880 36970360 37289070 37880960 38026656 39775008 40794880 41146560 41195544 41591655 41982720 42251840 42616080 44081856 44364432 45457152 45894240 47533320 48061468 48979840 49718760 50702208 51494430 52450560 53033344 54862080 54927392 55102320 55455540 56821440 58775808 59152576 59662512 60076835 61192320 61793316 62974080 63377760 66291680 66546648 67818240 68185728 68659240 72092202 73430784 73469760 73940720 74578140 75761920 76053312 77241645 79550016 82293120 82391088 83183310 84503680 85232160 88163712 88728864 91788480 95066640 96122936 97959680 99437520 101404416 102988860 106066688 108138303 109854784 110204640 110911080 113642880 118305152 119325024 120153670 122384640 123586632 125948160 126755520 132583360 133093296 136371456 137318480 144184404 146939520 147881440 149156280 152106624 154483290 159100032 164586240 164782176 166366620 169007360 170464320 176327424 177457728 180230505 183576960 190133280 192245872 198875040 205977720 216276606 219709568 220409280 221822160 227285760 236610304 238650048 240307340 247173264 253511040 265166720 266186592 274636960 288368808 293879040 295762880 298312560 304213248 308966580 318200064 329564352 332733240 340928640 354915456 360461010 367153920 380266560 384491744 397750080 411955440 432553212 439419136 440818560 443644320 477300096 480614680 494346528 507022080 530333440 532373184 540691515 549273920 576737616 591525760 596625120 617933160 659128704 665466480 681857280 709830912 720922020 760533120 768983488 795500160 823910880 865106424 881637120 887288640 954600192 961229360 988693056 1064746368 1081383030 1098547840 1153475232 1183051520 1193250240 1235866320 1318257408 1330932960 1441844040 1521066240 1537966976 1591000320 1647821760 1730212848 1774577280 1922458720 1977386112 2129492736 2162766060 2197095680 2306950464 2386500480 2471732640 2661865920 2883688080 3075933952 3295643520 3460425696 3549154560 3844917440 3954772224 4325532120 4613900928 4773000960 4943465280 5323731840 5767376160 6591287040 6920851392 7689834880 8651064240 9227801856 9886930560 10647463680 11534752320 13841702784 15379669760 17302128480 19773861120 23069504640 27683405568 34604256960 46139009280 69208513920 138417027840
• Sum of all divisors σ(n): 614339963328
• Sum of proper divisors (its aliquot sum) s(n): 475922935488
• 138417027840 is an abundant number, because the sum of its proper divisors (475922935488) is greater than itself. Its abundance is 337505907648

Bases of 138417027840

• Binary: 10000000111010010011000011101100000000₂
• Hexadecimal: 0x203A4C3B00
• Base-36: 1RL5XA80

Squares and roots of 138417027840

• 138417027840 squared (138417027840²) is 19159273596059335065600
• 138417027840 cubed (138417027840³) is 2651969706739921896067043426304000
• The square root of 138417027840 is 372044.3896096269
• The cube root of 138417027840 is 5172.8494611267

Scales and comparisons

• 138,417,027,840 seconds is equal to 4,401 years, 12 weeks, 22 hours, 24 minutes.
• To count from 1 to 138,417,027,840 would take you about eight thousand, eight hundred two 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 138417027840 cubic inches would be around 431.1 feet tall.

Recreational maths with 138417027840

• 138417027840 backwards is 048720714831
• 138417027840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138417027840's digits is 45
• More coming soon!