4144096276992

Names of 4144096276992

• Cardinal: 4144096276992 can be written as Four trillion, one hundred forty-four billion, ninety-six million, two hundred seventy-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 4.144096276992 × 10¹²

Factors of 4144096276992

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 300

Divisors of 4144096276992

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 49 54 56 57 63 64 72 76 81 84 96 98 108 112 114 126 128 133 144 147 152 162 168 171 189 192 196 216 224 228 243 252 256 266 269 288 294 304 324 336 342 343 361 378 384 392 399 432 441 448 456 486 504 512 513 532 538 567 576 588 608 648 672 684 686 722 756 768 784 798 807 864 882 896 912 931 972 1008 1026 1029 1064 1076 1083 1134 1152 1176 1197 1216 1296 1323 1344 1368 1372 1444 1512 1536 1539 1568 1596 1614 1701 1728 1764 1792 1824 1862 1883 1944 2016 2052 2058 2128 2152 2166 2268 2304 2352 2394 2421 2432 2527 2592 2646 2688 2736 2744 2793 2888 3024 3078 3087 3136 3192 3228 3249 3402 3456 3528 3584 3591 3648 3724 3766 3888 3969 4032 4104 4116 4256 4304 4332 4536 4608 4617 4704 4788 4842 4864 5054 5111 5184 5292 5376 5472 5488 5586 5649 5776 6048 6156 6174 6272 6384 6456 6498 6517 6804 6912 7056 7182 7263 7296 7448 7532 7581 7776 7938 8064 8208 8232 8379 8512 8608 8664 9072 9234 9261 9408 9576 9684 9728 9747 10108 10222 10368 10584 10752 10773 10944 10976 11172 11298 11552 11907 12096 12312 12348 12544 12768 12912 12996 13034 13181 13608 13824 14112 14364 14526 14592 14896 15064 15162 15333 15552 15876 16128 16416 16464 16758 16947 17024 17216 17328 17689 18144 18468 18522 18816 19152 19368 19494 19551 20216 20444 20736 21168 21546 21789 21888 21952 22344 22596 22743 23104 23814 24192 24624 24696 25088 25137 25536 25824 25992 26068 26362 27216 27783 28224 28728 29052 29184 29241 29792 30128 30324 30666 31104 31752 32256 32319 32832 32928 33516 33894 34048 34432 34656 35378 35777 36288 36936 37044 37632 38304 38736 38988 39102 39543 40432 40888 41472 42336 43092 43578 43776 43904 44688 45192 45486 45999 46208 47628 48384 49248 49392 50274 50841 51072 51648 51984 52136 52724 53067 54432 55566 56448 57456 58104 58482 58653 59584 60256 60648 61332 62208 63504 64638 65367 65664 65856 67032 67788 68096 68229 68864 69312 70756 71554 72576 73872 74088 75264 75411 76608 77472 77976 78204 79086 80864 81776 83349 84672 86184 87156 87552 87723 87808 89376 90384 90972 91998 92267 92416 95256 96768 97109 98496 98784 100548 101682 102144 103296 103968 104272 105448 106134 107331 108864 111132 112896 114912 116208 116964 117306 118629 119168 120512 121296 122664 123823 124416 127008 129276 130734 131328 131712 134064 135576 136458 137728 137997 138624 141512 143108 145152 147744 148176 150822 152523 153216 154944 155952 156408 158172 159201 161728 163552 166698 169344 172368 174312 175446 175616 175959 178752 180768 181944 183996 184534 184832 190512 194218 196992 197568 201096 203364 204288 204687 206592 207936 208544 210896 212268 214662 217728 222264 225792 226233 229824 232416 233928 234612 237258 238336 241024 242592 245328 247646 250439 254016 258552 261468 262656 263424 268128 271152 272916 275994 276801 277248 283024 286216 290304 291327 295488 296352 301644 305046 306432 309888 311904 312816 316344 318402 321993 323456 327104 333396 338688 344736 348624 350892 351918 355887 357504 361536 363888 367992 369068 371469 381024 388436 393984 395136 402192 406728 409374 413184 413991 415872 417088 421792 424536 429324 435456 444528 452466 457569 459648 464832 467856 469224 474516 476672 477603 482048 485184 490656 495292 500878 508032 517104 522936 526848 527877 536256 542304 545832 551988 553602 554496 566048 572432 582654 590976 592704 603288 610092 612864 614061 619776 623808 625632 632688 636804 643986 646912 654208 666792 677376 679763 689472 697248 701784 703836 711774 715008 723072 727776 735984 738136 742938 751317 762048 776872 787968 790272 804384 813456 818748 827982 830403 831744 834176 843584 849072 858648 870912 873981 889056 904932 915138 919296 929664 935712 938448 949032 955206 964096 965979 970368 981312 990584 1001756 1016064 1034208 1045872 1055754 1067661 1072512 1084608 1091664 1103976 1107204 1114407 1132096 1144864 1165308 1181952 1185408 1206576 1220184 1228122 1239552 1241973 1247616 1251264 1265376 1273608 1287972 1293824 1308416 1333584 1359526 1378944 1394496 1403568 1407672 1423548 1430016 1432809 1446144 1455552 1471968 1476272 1485876 1502634 1524096 1553744 1580544 1583631 1608768 1626912 1637496 1655964 1660806 1663488 1668352 1687168 1698144 1717296 1747962 1753073 1778112 1809864 1830276 1838592 1859328 1871424 1876896 1898064 1910412 1931958 1940736 1962624 1981168 2003512 2032128 2039289 2068416 2091744 2111508 2135322 2145024 2169216 2183328 2207952 2214408 2228814 2253951 2264192 2289728 2330616 2363904 2370816 2413152 2440368 2456244 2483946 2491209 2495232 2502528 2530752 2547216 2575944 2616832 2621943 2667168 2719052 2757888 2788992 2807136 2815344 2847096 2865618 2892288 2897937 2911104 2943936 2952544 2971752 3005268 3048192 3107488 3167262 3202983 3217536 3253824 3274992 3311928 3321612 3336704 3343221 3374336 3396288 3434592 3495924 3506146 3556224 3619728 3660552 3718656 3742848 3753792 3796128 3820824 3863916 3881472 3925248 3962336 4007024 4078578 4136832 4183488 4223016 4270644 4290048 4298427 4338432 4366656 4415904 4428816 4457628 4507902 4528384 4579456 4661232 4741632 4758341 4826304 4880736 4912488 4967892 4982418 4990464 5005056 5061504 5094432 5151888 5243886 5259219 5334336 5438104 5515776 5577984 5614272 5630688 5694192 5731236 5795874 5822208 5887872 5905088 5943504 6010536 6096384 6117867 6214976 6334524 6405966 6435072 6507648 6549984 6623856 6643224 6686442 6748672 6761853 6792576 6869184 6991848 7012292 7112448 7239456 7321104 7473627 7485696 7507584 7592256 7641648 7727832 7850496 7865829 7924672 8014048 8157156 8273664 8366976 8446032 8541288 8596854 8676864 8693811 8733312 8831808 8857632 8915256 9015804 9056768 9158912 9322464 9516682 9652608 9761472 9824976 9935784 9964836 10010112 10029663 10123008 10188864 10303776 10487772 10518438 10668672 10876208 11155968 11228544 11261376 11388384 11462472 11591748 11644416 11775744 11810176 11887008 12021072 12235734 12429952 12669048 12811932 12870144 13015296 13099968 13247712 13286448 13372884 13523706 13585152 13738368 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42825069 43504832 44841762 44914176 45045504 45553536 45849888 46366992 47194974 47240704 47332971 47548032 48084288 48942936 49719808 50676192 51247728 52399872 52990848 53145792 53491536 54094824 54953472 55060803 55934784 56098336 57100092 57915648 58568832 59789016 60177978 60738048 60856677 61133184 61822656 62926632 63110628 63397376 64112384 65257248 66616774 67568256 68330304 68774832 69550488 70654464 70861056 71322048 72126432 73414404 74579712 76133456 78091776 78599808 79486272 79718688 80237304 81142236 81510912 82430208 83902176 84147504 85650138 87009664 89683524 90091008 91107072 91699776 92733984 94389948 94665942 95096064 96168576 97885872 99925161 101352384 102495456 104799744 105981696 106291584 106983072 108189648 110121606 111869568 112196672 114200184 115831296 117137664 119578032 120355956 121713354 122266368 123645312 125853264 126221256 128224768 128475207 130514496 133233548 135136512 136660608 137549664 139100976 141722112 141998913 142644096 144252864 146828808 149159424 152266912 157199616 158972544 159437376 160474608 162284472 164860416 165182409 167804352 168295008 171300276 174019328 179367048 182214144 183399552 185467968 188779896 189331884 190192128 192337152 195771744 199850322 202704768 204990912 211963392 212583168 213966144 216379296 220243212 223739136 224393344 228400368 234275328 239156064 240711912 243426708 244532736 247290624 251706528 252442512 256950414 261028992 266467096 270273024 273321216 275099328 278201952 283997826 285288192 288505728 293657616 299775483 304533824 314399232 317945088 318874752 320949216 324568944 330364818 335608704 336590016 342600552 348038656 358734096 366799104 370935936 377559792 378663768 384674304 385425621 391543488 399700644 405409536 409981824 425166336 425996739 427932288 432758592 440486424 447478272 448786688 456800736 478312128 481423824 486853416 494581248 503413056 504885024 513900828 522057984 532934192 546642432 550198656 556403904 567995652 570576384 577011456 587315232 599550966 609067648 635890176 637749504 641898432 649137888 660729636 671217408 673180032 685201104 717468192 733598208 741871872 755119584 757327536 770851242 783086976 799401288 810819072 819963648 851993478 855864576 865517184 880972848 897573376 899326449 913601472 956624256 962847648 973706832 1006826112 1009770048 1027801656 1044115968 1065868384 1100397312 1112807808 1135991304 1154022912 1156276863 1174630464 1199101932 1218135296 1275499008 1283796864 1298275776 1321459272 1342434816 1346360064 1370402208 1434936384 1483743744 1510239168 1514655072 1541702484 1566173952 1598802576 1639927296 1703986956 1711729152 1731034368 1761945696 1798652898 1827202944 1913248512 1925695296 1947413664 2013652224 2019540096 2055603312 2131736768 2200794624 2225615616 2271982608 2312553726 2349260928 2398203864 2436270592 2567593728 2596551552 2642918544 2692720128 2697979347 2740804416 2869872768 3020478336 3029310144 3083404968 3132347904 3197605152 3407973912 3462068736 3523891392 3597305796 3654405888 3826497024 3851390592 3894827328 4027304448 4039080192 4111206624 4263473536 4451231232 4543965216 4625107452 4698521856 4796407728 5135187456 5193103104 5285837088 5395958694 5481608832 5739745536 6040956672 6058620288 6166809936 6395210304 6815947824 7047782784 7194611592 7308811776 7702781184 7789654656 8078160384 8093938041 8222413248 8526947072 9087930432 9250214904 9397043712 9592815456 10386206208 10571674176 10791917388 10963217664 11479491072 12081913344 12117240576 12333619872 12790420608 13631895648 14095565568 14389223184 15405562368 15579309312 16187876082 16444826496 17053894144 18175860864 18500429808 19185630912 21143348352 21583834776 21926435328 24234481152 24667239744 25580841216 27263791296 28191131136 28778446368 31158618624 32375752164 32889652992 36351721728 37000859616 38371261824 42286696704 43167669552 49334479488 51161682432 54527582592 57556892736 64751504328 65779305984 72703443456 74001719232 76742523648 84573393408 86335339104 98668958976 109055165184 115113785472 129503008656 148003438464 153485047296 172670678208 197337917952 218110330368 230227570944 259006017312 296006876928 345341356416 460455141888 518012034624 592013753856 690682712832 1036024069248 1381365425664 2072048138496 4144096276992
• Sum of all divisors σ(n): 15322363056000
• Sum of proper divisors (its aliquot sum) s(n): 11178266779008
• 4144096276992 is an abundant number, because the sum of its proper divisors (11178266779008) is greater than itself. Its abundance is 7034170502016

Bases of 4144096276992

• Binary: 111100010011011111011000101111001000000000₂
• Hexadecimal: 0x3C4DF62F200
• Base-36: 1GVRRXC00

Squares and roots of 4144096276992

• 4144096276992 squared (4144096276992²) is 17173533952978955188568064
• 4144096276992 cubed (4144096276992³) is 71168778117335792984670915341989183488
• The square root of 4144096276992 is 2035705.3512215367
• The cube root of 4144096276992 is 16062.3818263093

Scales and comparisons

• 4,144,096,276,992 seconds is equal to 131,769 years, 23 weeks, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 4,144,096,276,992 would take you about three hundred twenty-nine thousand, four hundred twenty-three 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 4144096276992 cubic inches would be around 1338.5 feet tall.

Recreational maths with 4144096276992

• 4144096276992 backwards is 2996726904414
• 4144096276992 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4144096276992's digits is 63
• More coming soon!