13998948102144
13,998,948,102,144 is an even composite number composed of four prime numbers multiplied together.
13998948102144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred sixty-eight divisors.
Prime factorization of 13998948102144:
212 × 32 × 432 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 43 × 43 × 59 × 59 × 59)See below for interesting mathematical facts about the number 13998948102144 from the Numbermatics database.
Names of 13998948102144
- Cardinal: 13998948102144 can be written as Thirteen trillion, nine hundred ninety-eight billion, nine hundred forty-eight million, one hundred two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3998948102144 × 1013
Factors of 13998948102144
Divisors of 13998948102144
- Number of divisors d(n): 468
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 59 64 72 86 96 118 128 129 144 172 177 192 236 256 258 288 344 354 384 387 472 512 516 531 576 688 708 768 774 944 1024 1032 1062 1152 1376 1416 1536 1548 1849 1888 2048 2064 2124 2304 2537 2752 2832 3072 3096 3481 3698 3776 4096 4128 4248 4608 5074 5504 5547 5664 6144 6192 6962 7396 7552 7611 8256 8496 9216 10148 10443 11008 11094 11328 12288 12384 13924 14792 15104 15222 16512 16641 16992 18432 20296 20886 22016 22188 22656 22833 24768 27848 29584 30208 30444 31329 33024 33282 33984 36864 40592 41772 44032 44376 45312 45666 49536 55696 59168 60416 60888 62658 66048 66564 67968 81184 83544 88064 88752 90624 91332 99072 109091 111392 118336 120832 121776 125316 132096 133128 135936 149683 162368 167088 176128 177504 181248 182664 198144 205379 218182 222784 236672 241664 243552 250632 264192 266256 271872 299366 324736 327273 334176 355008 362496 365328 396288 410758 436364 445568 449049 473344 487104 501264 528384 532512 543744 598732 616137 649472 654546 668352 710016 724992 730656 792576 821516 872728 891136 898098 946688 974208 981819 1002528 1065024 1087488 1197464 1232274 1298944 1309092 1336704 1347147 1420032 1461312 1585152 1643032 1745456 1782272 1796196 1848411 1893376 1948416 1963638 2005056 2130048 2174976 2394928 2464548 2597888 2618184 2673408 2694294 2840064 2922624 3286064 3490912 3564544 3592392 3696822 3786752 3896832 3927276 4010112 4260096 4789856 4929096 5195776 5236368 5346816 5388588 5680128 5845248 6436369 6572128 6981824 7129088 7184784 7393644 7573504 7793664 7854552 8020224 8520192 8831297 9579712 9858192 10391552 10472736 10693632 10777176 11360256 11690496 12872738 13144256 13963648 14258176 14369568 14787288 15587328 15709104 16040448 17040384 17662594 19159424 19309107 19716384 20945472 21387264 21554352 22720512 23380992 25745476 26288512 26493891 27927296 28739136 29574576 31174656 31418208 32080896 34080768 35325188 38318848 38618214 39432768 41890944 42774528 43108704 46761984 51490952 52577024 52987782 55854592 57478272 57927321 59149152 62836416 64161792 68161536 70650376 76637696 77236428 78865536 79481673 83781888 86217408 93523968 102981904 105154048 105975564 111709184 114956544 115854642 118298304 125672832 128323584 141300752 153275392 154472856 157731072 158963346 167563776 172434816 205963808 210308096 211951128 223418368 229913088 231709284 236596608 251345664 282601504 306550784 308945712 315462144 317926692 335127552 344869632 379745771 411927616 420616192 423902256 446836736 459826176 463418568 473193216 502691328 565203008 613101568 617891424 630924288 635853384 670255104 689739264 759491542 823855232 841232384 847804512 919652352 926837136 946386432 1005382656 1130406016 1139237313 1235782848 1261848576 1271706768 1340510208 1379478528 1518983084 1647710464 1695609024 1839304704 1853674272 1892772864 2010765312 2260812032 2278474626 2471565696 2523697152 2543413536 2758957056 3037966168 3295420928 3391218048 3417711939 3707348544 3785545728 4021530624 4521624064 4556949252 4943131392 5086827072 5517914112 6075932336 6590841856 6782436096 6835423878 7414697088 7571091456 9043248128 9113898504 9886262784 10173654144 12151864672 13181683712 13564872192 13670847756 14829394176 18086496256 18227797008 19772525568 20347308288 24303729344 26363367424 27129744384 27341695512 29658788352 36172992512 36455594016 39545051136 40694616576 48607458688 54259488768 54683391024 59317576704 72911188032 79090102272 81389233152 97214917376 108518977536 109366782048 118635153408 145822376064 162778466304 194429834752 218733564096 237270306816 291644752128 325556932608 388859669504 437467128192 583289504256 777719339008 874934256384 1166579008512 1555438678016 1749868512768 2333158017024 3499737025536 4666316034048 6999474051072 13998948102144
- Sum of all divisors σ(n): 42112488885480
- Sum of proper divisors (its aliquot sum) s(n): 28113540783336
- 13998948102144 is an abundant number, because the sum of its proper divisors (28113540783336) is greater than itself. Its abundance is 14114592681192
Bases of 13998948102144
- Binary: 110010111011011000100101010000110000000000002
- Hexadecimal: 0xCBB62543000
- Base-36: 4YN109A80
Squares and roots of 13998948102144
- 13998948102144 squared (139989481021442) is 195970547966521099457396736
- 13998948102144 cubed (139989481021443) is 2743381530532050263699256305610060201984
-
The
square root of 13998948102144 is 3741516.8183697905 -
The
cube root of 13998948102144 is 24100.8190019957
Scales and comparisons
How big is 13998948102144?- 13,998,948,102,144 seconds is equal to 445,123 years, 12 weeks, 6 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,998,948,102,144 would take you about one million, one hundred twelve thousand, eight hundred eight 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 13998948102144 cubic inches would be around 2008.4 feet tall.
Recreational maths with 13998948102144
- 13998948102144 backwards is 44120184989931
- The number of decimal digits it has is: 14
- The sum of 13998948102144's digits is 63
- More coming soon!
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