4007974473216

Names of 4007974473216

• Cardinal: 4007974473216 can be written as Four trillion, seven billion, nine hundred seventy-four million, four hundred seventy-three thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.007974473216 × 10¹²

Factors of 4007974473216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 2897

Divisors of 4007974473216

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 53 54 56 62 63 64 72 81 84 93 96 106 108 112 124 126 128 144 159 162 168 186 189 192 212 216 217 224 243 248 252 256 279 288 318 324 336 371 372 378 384 424 432 434 448 477 486 496 504 512 558 567 576 636 648 651 672 742 744 756 768 837 848 864 868 896 954 972 992 1008 1113 1116 1134 1152 1272 1296 1302 1344 1431 1484 1488 1512 1536 1643 1674 1696 1701 1728 1736 1792 1908 1944 1953 1984 2016 2226 2232 2268 2304 2511 2544 2592 2604 2688 2801 2862 2968 2976 3024 3286 3339 3348 3392 3402 3456 3472 3584 3816 3888 3906 3968 4032 4293 4452 4464 4536 4608 4929 5022 5088 5184 5208 5376 5602 5724 5859 5936 5952 6048 6572 6678 6696 6784 6804 6912 6944 7533 7632 7776 7812 7936 8064 8403 8586 8904 8928 9072 9858 10017 10044 10176 10368 10416 10752 11204 11448 11501 11718 11872 11904 12096 12879 13144 13356 13392 13568 13608 13824 13888 14787 15066 15264 15552 15624 15872 16128 16806 17172 17577 17808 17856 18144 19607 19716 20034 20088 20352 20736 20832 22408 22896 23002 23436 23744 23808 24192 25209 25758 26288 26712 26784 27136 27216 27776 29574 30051 30132 30528 31104 31248 32256 33612 34344 34503 35154 35616 35712 36288 39214 39432 40068 40176 40704 41472 41664 44361 44816 45792 46004 46872 47488 47616 48384 50418 51516 52576 52731 53424 53568 54432 55552 58821 59148 60102 60264 61056 62208 62496 67224 68688 69006 70308 71232 71424 72576 75627 78428 78864 80136 80352 81408 83328 86831 88722 89632 90153 91584 92008 93744 94976 96768 100836 103032 103509 105152 105462 106848 107136 108864 111104 117642 118296 120204 120528 122112 124416 124992 133083 134448 137376 138012 140616 142464 142848 145152 148453 151254 156856 157728 160272 160704 166656 173662 176463 177444 179264 180306 183168 184016 187488 189952 201672 206064 207018 210304 210924 213696 214272 217728 226881 235284 236592 240408 241056 244224 249984 260493 266166 268896 274752 276024 281232 284928 290304 296906 302508 310527 313712 315456 320544 321408 333312 347324 352926 354888 358528 360612 366336 368032 374976 399249 403344 412128 414036 420608 421848 427392 428544 435456 445359 453762 470568 473184 480816 482112 499968 520986 529389 532332 537792 549504 552048 562464 569856 593812 605016 607817 621054 627424 630912 641088 642816 680643 694648 705852 709776 717056 721224 732672 736064 749952 781479 798498 806688 824256 828072 841216 843696 854784 870912 890718 907524 931581 941136 946368 961632 964224 999936 1039171 1041972 1058778 1064664 1075584 1099008 1104096 1124928 1187624 1210032 1215634 1242108 1254848 1261824 1282176 1285632 1336077 1361286 1389296 1411704 1419552 1434112 1442448 1472128 1499904 1562958 1588167 1596996 1613376 1648512 1656144 1687392 1709568 1781436 1815048 1823451 1863162 1882272 1892736 1923264 1928448 2078342 2083944 2117556 2129328 2151168 2198016 2208192 2249856 2344437 2375248 2420064 2431268 2484216 2509696 2523648 2564352 2672154 2722572 2778592 2794743 2823408 2839104 2884896 2944256 2999808 3117513 3125916 3176334 3193992 3226752 3297024 3312288 3374784 3562872 3630096 3646902 3726324 3764544 3785472 3846528 3856896 4008231 4156684 4167888 4235112 4258656 4302336 4416384 4499712 4602043 4688874 4750496 4764501 4840128 4862536 4968432 5019392 5128704 5344308 5445144 5470353 5557184 5589486 5646816 5678208 5769792 5888512 6235026 6251832 6352668 6387984 6453504 6594048 6624576 6749568 7033311 7125744 7260192 7293804 7452648 7529088 7570944 7693056 8016462 8313368 8335776 8470224 8517312 8832768 8999424 9204086 9352539 9377748 9500992 9529002 9680256 9725072 9936864 10038784 10688616 10890288 10940706 11114368 11178972 11293632 11356416 11539584 12024693 12470052 12503664 12705336 12775968 12907008 13249152 13499136 13806129 14066622 14251488 14520384 14587608 14905296 15058176 15386112 16032924 16411059 16626736 16671552 16940448 17034624 17665536 18408172 18705078 18755496 19001984 19058004 19360512 19450144 19873728 21099933 21377232 21780576 21881412 22228736 22357944 22587264 22712832 23079168 24049386 24940104 25007328 25410672 25551936 26498304 26998272 27612258 28057617 28133244 28502976 29040768 29175216 29810592 30116352 32065848 32214301 32822118 33253472 33343104 33880896 34069248 36074079 36816344 37410156 37510992 38003968 38116008 38721024 38900288 39747456 41418387 42199866 42754464 43561152 43762824 44457472 44715888 45174528 46158336 48098772 49233177 49880208 50014656 50821344 51103872 52996608 55224516 56115234 56266488 57005952 58081536 58350432 59621184 64131696 64428602 65644236 66506944 66686208 67761792 68138496 72148158 73632688 74820312 75021984 76007936 76232016 77800576 79494912 82836774 84172851 84399732 85508928 87122304 87525648 89431776 90349056 96197544 96642903 98466354 99760416 100029312 101642688 102207744 110449032 112230468 112532976 114011904 116163072 116700864 119242368 124255161 128263392 128857204 131288472 133013888 133372416 135523584 144296316 147265376 147699531 149640624 150043968 152464032 155601152 158989824 165673548 168345702 168799464 171017856 174244608 175051296 178863552 192395088 193285806 196932708 199520832 200058624 203285376 204415488 220898064 224460936 225065952 228023808 233401728 238484736 248510322 252518553 256526784 257714408 262576944 266027776 271047168 288592632 289928709 294530752 295399062 299281248 300087936 304928064 311202304 331347096 336691404 337598928 342035712 348489216 350102592 357727104 372765483 384790176 386571612 393865416 399041664 400117248 406570752 441796128 448921872 450131904 466803456 476969472 497020644 505037106 513053568 515428816 525153888 532055552 577185264 579857418 589061504 590798124 598562496 600175872 609856128 662694192 673382808 675197856 684071424 700205184 715454208 745530966 769580352 773143224 787730832 798083328 813141504 869786127 883592256 897843744 900263808 933606912 994041288 1010074212 1026107136 1030857632 1050307776 1118296449 1154370528 1159714836 1178123008 1181596248 1197124992 1200351744 1219712256 1325388384 1346765616 1350395712 1400410368 1430908416 1491061932 1539160704 1546286448 1575461664 1596166656 1739572254 1767184512 1795687488 1800527616 1988082576 2020148424 2052214272 2061715264 2100615552 2236592898 2308741056 2319429672 2356246016 2363192496 2394249984 2439424512 2609358381 2650776768 2693531232 2700791424 2800820736 2982123864 3078321408 3092572896 3150923328 3479144508 3534369024 3591374976 3601055232 3976165152 4040296848 4123430528 4201231104 4473185796 4617482112 4638859344 4726384992 4788499968 5218716762 5301553536 5387062464 5401582848 5964247728 6156642816 6185145792 6301846656 6958289016 7068738048 7182749952 7828075143 7952330304 8080593696 8246861056 8402462208 8946371592 9234964224 9277718688 9452769984 10437433524 10603107072 10774124928 10803165696 11928495456 12370291584 12603693312 13916578032 14365499904 15656150286 15904660608 16161187392 16493722112 17892743184 18469928448 18555437376 18905539968 20874867048 21206214144 21548249856 23856990912 24740583168 25207386624 27833156064 31312300572 31809321216 32322374784 35785486368 37110874752 37811079936 41749734096 43096499712 47713981824 49481166336 55666312128 62624601144 63618642432 64644749568 71570972736 74221749504 75622159872 83499468192 95427963648 111332624256 125249202288 129289499136 143141945472 148443499008 166998936384 190855927296 222665248512 250498404576 286283890944 333997872768 445330497024 500996809152 572567781888 667995745536 1001993618304 1335991491072 2003987236608 4007974473216
• Sum of all divisors σ(n): 14423772819456
• Sum of proper divisors (its aliquot sum) s(n): 10415798346240
• 4007974473216 is an abundant number, because the sum of its proper divisors (10415798346240) is greater than itself. Its abundance is 6407823873024

Bases of 4007974473216

• Binary: 111010010100101101111001010000111000000000₂
• Hexadecimal: 0x3A52DE50E00
• Base-36: 1F58KIO00

Squares and roots of 4007974473216

• 4007974473216 squared (4007974473216²) is 16063859377951072701382656
• 4007974473216 cubed (4007974473216³) is 64383538328159352055746268756438941696
• The square root of 4007974473216 is 2001992.6256647401
• The cube root of 4007974473216 is 15884.5524232485

Scales and comparisons

• 4,007,974,473,216 seconds is equal to 127,441 years, 9 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 4,007,974,473,216 would take you about three hundred eighteen thousand, six hundred two 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 4007974473216 cubic inches would be around 1323.7 feet tall.

Recreational maths with 4007974473216

• 4007974473216 backwards is 6123744797004
• 4007974473216 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4007974473216's digits is 54
• More coming soon!