13984767417816

Names of 13984767417816

• Cardinal: 13984767417816 can be written as Thirteen trillion, nine hundred eighty-four billion, seven hundred sixty-seven million, four hundred seventeen thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.3984767417816 × 10¹³

Factors of 13984767417816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 78

Divisors of 13984767417816

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 37 39 46 52 54 69 72 74 78 92 104 108 111 117 138 148 156 169 184 207 216 222 234 276 296 299 312 333 338 351 414 444 468 481 507 529 552 598 621 666 676 702 828 851 888 897 936 962 999 1014 1058 1196 1242 1332 1352 1369 1404 1443 1521 1587 1656 1702 1794 1924 1998 2028 2116 2392 2484 2553 2664 2691 2738 2808 2886 3042 3174 3404 3588 3848 3887 3996 4056 4107 4232 4329 4563 4761 4968 5106 5382 5476 5772 6084 6253 6348 6808 6877 7176 7659 7774 7992 8073 8214 8658 9126 9522 10212 10764 10952 11063 11544 11661 12167 12168 12321 12506 12696 12987 13754 14283 15318 15548 16146 16428 17316 17797 18252 18759 19044 19573 20424 20631 21528 22126 22977 23322 24334 24642 25012 25974 27508 28566 30636 31096 31487 32292 32856 33189 34632 34983 35594 36501 36504 36963 37518 38088 39146 41262 44252 45954 46644 48668 49284 50024 51948 53391 55016 56277 57132 58719 61272 61893 62974 64584 66378 69966 71188 73002 73926 75036 78292 82524 88504 89401 91908 93288 94461 97336 98568 99567 103896 104949 106782 109503 112554 114264 117438 123786 125948 132756 139932 142376 143819 146004 147852 150072 156584 158171 160173 165048 168831 176157 178802 183816 185679 188922 199134 209898 213564 219006 225108 231361 234876 247572 251896 254449 265512 268203 279841 279864 283383 287638 292008 295704 298701 316342 320346 328509 337662 352314 357604 371358 377844 398268 409331 419796 427128 431457 438012 450179 450216 462722 469752 474513 480519 495144 508898 528471 536406 559682 566766 575276 597402 632684 640692 657018 675324 694083 704628 715208 724201 742716 755688 763347 796536 804609 818662 839523 839592 850149 862914 876024 900358 925444 949026 961038 1017796 1056942 1072812 1119364 1133532 1150552 1194804 1227993 1265368 1281384 1294371 1314036 1350537 1350648 1388166 1409256 1423539 1448402 1485432 1526694 1609218 1637324 1679046 1700298 1725828 1800716 1850888 1898052 1922076 2035592 2056223 2082249 2113884 2145624 2172603 2238728 2267064 2290041 2389608 2413827 2455986 2518569 2588742 2628072 2701074 2776332 2847078 2896804 3053388 3218436 3274648 3307837 3358092 3400596 3451656 3601432 3637933 3683979 3796104 3844152 3883113 4051611 4112446 4164498 4227768 4270617 4345206 4580082 4827654 4911972 5037138 5177484 5321303 5402148 5552664 5694156 5793608 5852327 6106776 6168669 6246747 6436872 6517809 6615674 6716184 6801192 6870123 7275866 7367958 7555707 7766226 8103222 8224892 8328996 8541234 8690412 9160164 9414613 9655308 9823944 9923511 10074276 10354117 10354968 10642606 10804296 10913799 11051937 11388312 11704654 12154833 12337338 12493494 13035618 13231348 13740246 14551732 14735916 15111414 15532452 15963909 16206444 16449784 16656623 16657992 17082468 17380824 17556981 18320328 18506007 18829226 19310616 19553427 19847022 20148552 20708234 21285212 21827598 22103874 23409308 24309666 24674676 24986988 26071236 26462696 27480492 28243839 29103464 29471832 29770533 30222828 31062351 31064904 31927818 32412888 32741397 33313246 34164936 35113962 37012014 37658452 39106854 39694044 41416468 42570424 43655196 44207748 46818616 47293129 47891727 48619332 49349352 49969869 49973976 52142472 52670943 54960984 55518021 56487678 59541066 60445656 62124702 63855636 65482794 66626492 70227924 74024028 75316904 76080251 78213708 79388088 82832936 84731517 87310392 88415496 89311599 93187053 94586258 95783454 97238664 98224191 99939738 105341886 111036042 112975356 119082132 122389969 124249404 127711272 130965588 133252984 134603521 140455848 141879387 143675181 148048056 149909607 152160502 156427416 158012829 169463034 178623198 186374106 189172516 191566908 196448382 199879476 210683772 216536099 222072084 225950712 228240753 238164264 244779938 248498808 254194551 261931176 269207042 279561159 283758774 287350362 299819214 304321004 316025658 338926068 357246396 367169907 372748212 378345032 383102329 383133816 392896764 399758952 403810563 421367544 425638161 433072198 444144168 449728821 456481506 489559876 508389102 538414084 559122318 567517548 574700724 599638428 608642008 632051316 649608297 677852136 684722259 714492792 734339814 745496424 766204658 785793528 807621126 851276322 866144396 899457642 912963012 979119752 1016778204 1076828168 1101509721 1118244636 1135035096 1149306987 1149401448 1199276856 1211431689 1264102632 1276914483 1299216594 1369444518 1468679628 1532409316 1615242252 1702552644 1732288792 1749845773 1798915284 1825926024 1948824891 2033556408 2054166777 2203019442 2236489272 2298613974 2422863378 2553828966 2598433188 2738889036 2814969287 2937359256 3064818632 3230484504 3304529163 3405105288 3447920961 3499691546 3597830568 3634295067 3897649782 4108333554 4406038884 4597227948 4845726756 4980330277 5107657932 5196866376 5249537319 5477778072 5629938574 5846474673 6609058326 6895841922 6999383092 7268590134 7795299564 8216667108 8444907861 8812077768 9194455896 9691453512 9960660554 10215315864 10343762883 10499074638 11259877148 11692949346 13218116652 13791683844 13998766184 14537180268 14940990831 15590599128 15748611957 16433334216 16889815722 19921321108 20687525766 20998149276 22519754296 23385898692 25334723583 26436233304 27583367688 29074360536 29881981662 31497223914 33779631444 39842642216 41375051532 41996298552 44822972493 46771797384 47245835871 50669447166 59763963324 62994447828 64744293601 67559262888 76004170749 82750103064 89645944986 94491671742 101338894332 119527926648 125988895656 129488587202 134468917479 152008341498 179291889972 188983343484 194232880803 202677788664 258977174404 268937834958 304016682996 358583779944 377966686968 388465761606 517954348808 537875669916 582698642409 608033365992 776931523212 1075751339832 1165397284818 1553863046424 1748095927227 2330794569636 3496191854454 4661589139272 6992383708908 13984767417816
• Sum of all divisors σ(n): 45197339304600
• Sum of proper divisors (its aliquot sum) s(n): 31212571886784
• 13984767417816 is an abundant number, because the sum of its proper divisors (31212571886784) is greater than itself. Its abundance is 17227804468968

Bases of 13984767417816

• Binary: 11001011100000010101000110000001110111011000₂
• Hexadecimal: 0xCB815181DD8
• Base-36: 4YGIHG060

Squares and roots of 13984767417816

• 13984767417816 squared (13984767417816²) is 195573719730407992314209856
• 13984767417816 cubed (13984767417816³) is 2735052983466887870332161342017457194496
• The square root of 13984767417816 is 3739621.2933686213
• The cube root of 13984767417816 is 24092.6783529079

Scales and comparisons

• 13,984,767,417,816 seconds is equal to 444,672 years, 18 weeks, 3 minutes, 36 seconds.
• To count from 1 to 13,984,767,417,816 would take you about one million, one hundred eleven thousand, six hundred eighty 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 13984767417816 cubic inches would be around 2007.7 feet tall.

Recreational maths with 13984767417816

• 13984767417816 backwards is 61871476748931
• 13984767417816 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13984767417816's digits is 72
• More coming soon!