13988365248384

Names of 13988365248384

• Cardinal: 13988365248384 can be written as Thirteen trillion, nine hundred eighty-eight billion, three hundred sixty-five million, two hundred forty-eight thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 1.3988365248384 × 10¹³

Factors of 13988365248384

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 65

Divisors of 13988365248384

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 37 46 48 54 64 69 72 74 81 92 96 108 111 128 138 144 148 162 184 192 207 216 222 243 276 288 296 324 333 368 384 414 432 444 486 529 552 576 592 621 648 666 729 736 828 851 864 888 972 999 1058 1104 1152 1184 1242 1296 1332 1369 1458 1472 1587 1656 1702 1728 1776 1863 1944 1998 2116 2187 2208 2368 2484 2553 2592 2664 2738 2916 2944 2997 3174 3312 3404 3456 3552 3726 3888 3996 4107 4232 4374 4416 4736 4761 4968 5106 5184 5328 5476 5589 5832 5994 6348 6561 6624 6808 7104 7452 7659 7776 7992 8214 8464 8748 8832 8991 9522 9936 10212 10368 10656 10952 11178 11664 11988 12167 12321 12696 13122 13248 13616 14208 14283 14904 15318 15552 15984 16428 16767 16928 17496 17982 19044 19573 19872 20424 21312 21904 22356 22977 23328 23976 24334 24642 25392 26244 26496 26973 27232 28566 29808 30636 31104 31487 31968 32856 33534 33856 34992 35964 36501 36963 38088 39146 39744 40848 42624 42849 43808 44712 45954 46656 47952 48668 49284 50301 50784 52488 53946 54464 57132 58719 59616 61272 62974 63936 65712 67068 67712 68931 69984 71928 73002 73926 76176 78292 79488 80919 81696 85698 87616 89424 91908 93312 94461 95904 97336 98568 100602 101568 104976 107892 108928 109503 110889 114264 117438 119232 122544 125948 127872 128547 131424 134136 137862 139968 143856 146004 147852 150903 152352 156584 161838 163392 171396 175232 176157 178848 183816 188922 191808 194672 197136 201204 203136 206793 209952 215784 219006 221778 228528 234876 238464 242757 245088 251896 257094 262848 268272 275724 279936 283383 287712 292008 295704 301806 304704 313168 323676 326784 328509 332667 342792 352314 357696 367632 377844 383616 385641 389344 394272 402408 413586 419904 431568 438012 443556 450179 457056 469752 485514 490176 503792 514188 525696 528471 536544 551448 566766 575424 584016 591408 603612 609408 620379 626336 647352 657018 665334 685584 704628 715392 724201 735264 755688 771282 778688 788544 804816 827172 839808 850149 863136 876024 887112 900358 914112 939504 971028 980352 985527 998001 1007584 1028376 1056942 1073088 1102896 1133532 1150848 1156923 1168032 1182816 1207224 1240758 1252672 1294704 1314036 1330668 1350537 1371168 1409256 1448402 1470528 1511376 1542564 1557376 1577088 1585413 1609632 1654344 1700298 1726272 1752048 1774224 1800716 1828224 1861137 1879008 1942056 1971054 1996002 2015168 2056752 2113884 2146176 2172603 2205792 2267064 2313846 2336064 2365632 2414448 2481516 2505344 2550447 2589408 2628072 2661336 2701074 2742336 2818512 2896804 2941056 2956581 2994003 3022752 3085128 3170826 3219264 3308688 3400596 3452544 3470769 3504096 3548448 3601432 3722274 3758016 3884112 3942108 3992004 4030336 4051611 4113504 4227768 4345206 4411584 4534128 4627692 4672128 4731264 4756239 4828896 4963032 5100894 5178816 5256144 5322672 5402148 5484672 5583411 5637024 5793608 5913162 5988006 6045504 6170256 6341652 6438528 6517809 6617376 6801192 6941538 7008192 7096896 7202864 7444548 7516032 7651341 7768224 7884216 7984008 8103222 8227008 8455536 8690412 8823168 8869743 8982009 9068256 9255384 9512478 9657792 9926064 10201788 10357632 10512288 10645344 10804296 11166822 11274048 11587216 11826324 11976012 12091008 12154833 12340512 12683304 13035618 13234752 13602384 13883076 14016384 14193792 14268717 14405728 14889096 15302682 15536448 15768432 15968016 16206444 16454016 16656623 16911072 17380824 17739486 17964018 18136512 18510768 19024956 19315584 19553427 19852128 20403576 21024576 21290688 21608592 22333644 22548096 22954023 23174432 23652648 23952024 24309666 24681024 25366608 26071236 26469504 26609229 27204768 27766152 28537434 28811456 29778192 30605364 31072896 31536864 31936032 32412888 33313246 33822144 34761648 35478972 35928036 36273024 36464499 37021536 38049912 39106854 39704256 40807152 42049152 42581376 42806151 43217184 44667288 45908046 46348864 47305296 47904048 48619332 49362048 49969869 50733216 52142472 53218458 54409536 55532304 57074868 57622912 58660281 59556384 61210728 63073728 63872064 64825776 66626492 67644288 68862069 69523296 70957944 71856072 72928998 74043072 76099824 78213708 79408512 79827687 81614304 85612302 86434368 89334576 91816092 92697728 94610592 95808096 97238664 99939738 101466432 104284944 106436916 108819072 109393497 111064608 114149736 117320562 119112768 122421456 126147456 127744128 128418453 129651552 133252984 137724138 139046592 141915888 143712144 145857996 148086144 149909607 152199648 156427416 159655374 163228608 171224604 172868736 175980843 178669152 183632184 189221184 191616192 194477328 199879476 202932864 206586207 208569888 212873832 218786994 222129216 228299472 234641124 238225536 244842912 256836906 259303104 266505968 275448276 278093184 283831776 287424288 291715992 299819214 304399296 312854832 319310748 326457216 328180491 342449208 351961686 357338304 367264368 378442368 383232384 388954656 399758952 413172414 417139776 425747664 437573988 444258432 449728821 456598944 469282248 489685824 513673812 518606208 527942529 533011936 550896552 567663552 574848576 583431984 599638428 608798592 625709664 638621496 656360982 684898416 703923372 714676608 734528736 777909312 799517904 826344828 834279552 851495328 875147976 899457642 913197888 938564496 979371648 984541473 1027347624 1055885058 1066023872 1101793104 1135327104 1149697152 1166863968 1199276856 1251419328 1277242992 1312721964 1349186463 1369796832 1407846744 1469057472 1555818624 1583827587 1599035808 1652689656 1702990656 1750295952 1798915284 1826395776 1877128992 1969082946 2054695248 2111770116 2132047744 2203586208 2333727936 2398553712 2502838656 2554485984 2625443928 2698372926 2739593664 2815693488 2938114944 2953624419 3167655174 3198071616 3305379312 3405981312 3500591904 3597830568 3754257984 3938165892 4047559389 4109390496 4223540232 4407172416 4667455872 4751482761 4797107424 5108971968 5250887856 5396745852 5479187328 5631386976 5907248838 6335310348 6396143232 6610758624 7001183808 7195661136 7508515968 7876331784 8095118778 8218780992 8447080464 8814344832 9502965522 9594214848 10217943936 10501775712 10793491704 11262773952 11814497676 12142678167 12670620696 13221517248 14002367616 14391322272 15752663568 16190237556 16437561984 16894160928 19005931044 19188429696 21003551424 21586983408 22525547904 23628995352 24285356334 25341241392 26443034496 28782644544 31505327136 32380475112 33788321856 36428034501 38011862088 42007102848 43173966816 47257990704 48570712668 50682482784 57565289088 63010654272 64760950224 67576643712 72856069002 76023724176 86347933632 94515981408 97141425336 101364965568 109284103503 126021308544 129521900448 145712138004 152047448352 172695867264 189031962816 194282850672 202729931136 218568207006 259043800896 291424276008 304094896704 378063925632 388565701344 437136414012 518087601792 582848552016 608189793408 777131402688 874272828024 1165697104032 1554262805376 1748545656048 2331394208064 3497091312096 4662788416128 6994182624192 13988365248384
• Sum of all divisors σ(n): 44911816513200
• Sum of proper divisors (its aliquot sum) s(n): 30923451264816
• 13988365248384 is an abundant number, because the sum of its proper divisors (30923451264816) is greater than itself. Its abundance is 16935086016432

Bases of 13988365248384

• Binary: 11001011100011101011100010101010011110000000₂
• Hexadecimal: 0xCB8EB8AA780
• Base-36: 4YI5ZI000

Squares and roots of 13988365248384

• 13988365248384 squared (13988365248384²) is 195674362322197166014611456
• 13988365248384 cubed (13988365248384³) is 2737164449907522371214601263082691887104
• The square root of 13988365248384 is 3740102.3045344629
• The cube root of 13988365248384 is 24094.7442659993

Scales and comparisons

• 13,988,365,248,384 seconds is equal to 444,786 years, 38 weeks, 5 days, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 13,988,365,248,384 would take you about one million, one hundred eleven thousand, nine hundred sixty-six 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 13988365248384 cubic inches would be around 2007.9 feet tall.

Recreational maths with 13988365248384

• 13988365248384 backwards is 48384256388931
• 13988365248384 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13988365248384's digits is 72
• More coming soon!