13976144385984

Names of 13976144385984

• Cardinal: 13976144385984 can be written as Thirteen trillion, nine hundred seventy-six billion, one hundred forty-four million, three hundred eighty-five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.3976144385984 × 10¹³

Factors of 13976144385984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 770

Divisors of 13976144385984

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 64 66 68 72 88 96 99 102 121 127 132 136 144 153 176 187 192 198 204 242 254 264 272 288 293 306 317 352 363 374 381 396 408 484 508 528 544 561 576 586 612 634 704 726 748 762 792 816 879 951 968 1016 1056 1088 1089 1122 1143 1172 1224 1268 1397 1452 1496 1524 1584 1632 1683 1758 1902 1936 2032 2057 2112 2159 2178 2244 2286 2344 2448 2536 2637 2794 2853 2904 2992 3048 3168 3223 3264 3366 3487 3516 3804 3872 4064 4114 4191 4318 4356 4488 4572 4688 4896 4981 5072 5274 5389 5588 5706 5808 5984 6096 6171 6336 6446 6477 6732 6974 7032 7608 7744 8128 8228 8382 8636 8712 8976 9144 9376 9669 9792 9962 10144 10461 10548 10778 11176 11412 11616 11968 12192 12342 12573 12892 12954 13464 13948 14064 14943 15216 15367 16167 16456 16764 17272 17424 17952 18288 18513 18752 19338 19431 19924 20288 20922 21096 21556 22352 22824 23232 23749 24384 24684 25146 25784 25908 26928 27896 28128 29007 29886 30432 30734 31383 32334 32912 33528 34544 34848 35453 35904 36576 37026 37211 38357 38676 38862 39848 40259 41844 42192 43112 44704 44829 45648 46101 47498 48501 49368 50292 51568 51816 53856 54791 55792 56256 58014 59279 59772 60864 61468 62766 64668 65824 67056 69088 69696 70906 71247 73152 74052 74422 76714 77352 77724 79696 80518 83688 84384 86224 89408 89658 91296 92202 92881 94996 97002 98736 100584 103136 103632 106359 107712 109582 111584 111633 115071 116028 118558 119544 120777 122936 125532 129336 131648 134112 138176 138303 141812 142494 148104 148844 153428 154704 155448 159392 161036 164373 167376 168768 172448 177837 179316 182592 184404 185762 189992 194004 197472 201168 206272 207264 212718 213741 219164 223168 223266 230142 232056 237116 239088 241554 245872 251064 258672 261239 268224 276606 278643 283624 284988 296208 297688 306856 309408 310896 318784 319077 322072 328746 334752 334899 344896 345213 355674 358632 362331 368808 371524 379984 388008 394944 402336 409321 414528 425436 427482 438328 442849 446532 460284 464112 474232 478176 483108 491744 493119 502128 517344 522478 533511 553212 557286 567248 569976 592416 595376 602701 613712 618816 621792 632587 638154 644144 652069 657492 669504 669798 684403 690426 711348 717264 724662 737616 743048 759968 776016 783717 804672 818642 835929 850872 854964 876656 885698 893064 920568 928224 948464 956352 966216 983488 986238 1004256 1021691 1034688 1044956 1067022 1106424 1114572 1134496 1139952 1184832 1190752 1205402 1227424 1227963 1243584 1265174 1276308 1288288 1304138 1314984 1328547 1339596 1368806 1380852 1422696 1434528 1449324 1475232 1486096 1519936 1552032 1567434 1578977 1637284 1671858 1701744 1709928 1753312 1771396 1786128 1808103 1841136 1856448 1896928 1897761 1932432 1956207 1972476 2008512 2043382 2053209 2089912 2134044 2212848 2229144 2268992 2279904 2351151 2381504 2410804 2454848 2455926 2530348 2552616 2576576 2608276 2629968 2657094 2679192 2737612 2761704 2845392 2869056 2898648 2950464 2972192 3065073 3104064 3134868 3157954 3274568 3343716 3403488 3419856 3506624 3542792 3572256 3616206 3682272 3683889 3793856 3795522 3864864 3912414 3944952 3985641 4086764 4106418 4179824 4268088 4425696 4458288 4502531 4559808 4702302 4736931 4821608 4871339 4911852 5060696 5105232 5216552 5259936 5314188 5358384 5424309 5475224 5523408 5690784 5693283 5797296 5868621 5944384 6130146 6159627 6269736 6315908 6549136 6687432 6806976 6839712 6958457 7085584 7144512 7232412 7364544 7367778 7528433 7591044 7729728 7824828 7889904 7971282 8173528 8212836 8359648 8536176 8851392 8916576 9005062 9195219 9404604 9473862 9643216 9742678 9823704 10121392 10210464 10433104 10519872 10628376 10716768 10848618 10950448 11046816 11238601 11381568 11386566 11594592 11737242 11795887 12260292 12319254 12539472 12631816 13098272 13374864 13507593 13679424 13916914 14171168 14210793 14464824 14614017 14735556 15056866 15182088 15649656 15779808 15942564 16347056 16425672 16719296 17072352 17368747 17833152 18010124 18390438 18809208 18947724 19286432 19485356 19647408 20242784 20420928 20866208 20875371 21256752 21433536 21697236 21900896 22093632 22477202 22585299 22773132 23189184 23474484 23591774 24520584 24638508 25078944 25263632 26196544 26749728 27015186 27833828 28342336 28421586 28929648 29228034 29471112 30113732 30364176 31299312 31559616 31885128 32694112 32851344 33715803 34144704 34737494 35387661 36020248 36780876 37618416 37895448 38572864 38970712 39294816 40485568 40522779 41732416 41750742 42513504 43394472 43801792 43842051 44954404 45170598 45546264 46948968 47183548 49041168 49277016 50157888 50527264 52106241 53499456 54030372 55667656 56843172 57859296 58456068 58942224 60227464 60728352 62598624 62626113 63770256 65388224 65702688 67431606 67755897 69474988 70775322 72040496 73561752 75236832 75790896 76543027 77941424 78589632 81045558 82812763 83501484 85027008 86788944 87684102 89908808 90341196 91092528 93897936 94367096 98082336 98554032 101054528 101147409 104212482 106162983 108060744 111335312 113686344 115718592 116912136 117884448 120454928 121456704 125197248 125252226 127540512 129754757 131405376 134863212 135511794 138949976 141550644 144080992 147123504 150473664 151581792 153086054 155882848 156318723 162091116 165625526 167002968 173577888 175368204 179817616 180682392 182185056 187795872 188734192 191056217 196164672 197108064 200530079 202294818 208424964 212325966 216121488 222670624 227372688 229629081 233824272 235768896 240909856 248438289 250504452 255081024 259509514 269726424 271023588 277899952 283101288 288161984 294247008 303163584 306172108 311765696 312637446 324182232 331251052 334005936 347155776 350736408 359635232 361364784 364370112 375591744 377468384 382112434 389264271 394216128 401060158 404589636 416849928 424651932 432242976 445341248 454745376 459258162 467648544 481819712 496876578 501008904 519019028 539452848 542047176 555799904 566202576 573168651 588494016 601590237 612344216 625274892 648364464 662502104 668011872 688887243 701472816 719270464 722729568 745314867 754936768 764224868 778528542 802120316 809179272 833699856 849303864 864485952 909490752 918516324 935297088 993753156 1002017808 1038038056 1078905696 1084094352 1111599808 1132405152 1146337302 1167792813 1203180474 1224688432 1250549784 1296728928 1325004208 1336023744 1377774486 1402945632 1427302327 1445459136 1490629734 1528449736 1557057084 1604240632 1618358544 1667399712 1698607728 1719505953 1804770711 1837032648 1987506312 2004035616 2076076112 2157811392 2168188704 2205830869 2264810304 2292674604 2335585626 2406360948 2449376864 2501099568 2593457856 2650008416 2755548972 2805891264 2854604654 2981259468 3056899472 3114114168 3208481264 3236717088 3334799424 3397215456 3439011906 3609541422 3674065296 3975012624 4008071232 4152152224 4281906981 4336377408 4411661738 4585349208 4671171252 4812721896 4898753728 5002199136 5300016832 5511097944 5709209308 5962518936 6113798944 6228228336 6416962528 6473434176 6617492607 6794430912 6878023812 7219082844 7348130592 7950025248 8304304448 8563813962 8823323476 9170698416 9342342504 9625443792 10004398272 11022195888 11418418616 11925037872 12227597888 12456456672 12833925056 12845720943 13234985214 13756047624 14438165688 14696261184 15900050496 17127627924 17646646952 18341396832 18684685008 19250887584 19852477821 22044391776 22836837232 23850075744 24264139559 24912913344 25691441886 26469970428 27512095248 28876331376 34255255848 35293293904 36682793664 37369370016 38501775168 39704955642 44088783552 45673674464 47700151488 48528279118 51382883772 52939940856 55024190496 57752662752 68510511696 70586587808 72792418677 74738740032 79409911284 91347348928 97056558236 102765767544 105879881712 110048380992 115505325504 137021023392 141173175616 145584837354 158819822568 194113116472 205531535088 211759763424 218377256031 274042046784 291169674708 317639645136 388226232944 411063070176 423519526848 436754512062 582339349416 635279290272 776452465888 822126140352 873509024124 1164678698832 1270558580544 1552904931776 1747018048248 2329357397664 3494036096496 4658714795328 6988072192992 13976144385984
• Sum of all divisors σ(n): 47299400838144
• Sum of proper divisors (its aliquot sum) s(n): 33323256452160
• 13976144385984 is an abundant number, because the sum of its proper divisors (33323256452160) is greater than itself. Its abundance is 19347112066176

Bases of 13976144385984

• Binary: 11001011011000010011000111110001011111000000₂
• Hexadecimal: 0xCB6131F17C0
• Base-36: 4YCJVII80

Squares and roots of 13976144385984

• 13976144385984 squared (13976144385984²) is 195332611897872080375648256
• 13976144385984 cubed (13976144385984³) is 2729996787176036359697891190919080443904
• The square root of 13976144385984 is 3738468.1871033757
• The cube root of 13976144385984 is 24087.7254723713

Scales and comparisons

• 13,976,144,385,984 seconds is equal to 444,398 years, 8 weeks, 2 days, 9 hours, 26 minutes, 24 seconds.
• To count from 1 to 13,976,144,385,984 would take you about one million, one hundred ten thousand, nine hundred ninety-five 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 13976144385984 cubic inches would be around 2007.3 feet tall.

Recreational maths with 13976144385984

• 13976144385984 backwards is 48958344167931
• 13976144385984 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13976144385984's digits is 72
• More coming soon!