413729797640640

Names of 413729797640640

• Cardinal: 413729797640640 can be written as Four hundred thirteen trillion, seven hundred twenty-nine billion, seven hundred ninety-seven million, six hundred forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.1372979764064 × 10¹⁴

Factors of 413729797640640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 869

Divisors of 413729797640640

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 37 39 40 48 52 60 64 65 74 78 80 96 104 111 120 130 148 156 160 185 192 195 208 222 240 260 296 312 320 370 390 416 444 480 481 520 555 592 624 740 780 809 832 888 960 962 1040 1110 1184 1248 1369 1443 1480 1560 1618 1776 1924 2080 2220 2368 2405 2427 2496 2738 2886 2960 3120 3236 3552 3848 4045 4107 4160 4440 4810 4854 5476 5772 5920 6240 6472 6845 7104 7215 7696 8090 8214 8880 9620 9708 10517 10952 11544 11840 12135 12480 12944 13690 14430 15392 16180 16428 17760 17797 19240 19416 20535 21034 21904 23088 24270 25888 27380 28860 29933 30784 31551 32360 32856 35520 35594 38480 38832 41070 42068 43808 46176 48540 50653 51776 52585 53391 54760 57720 59866 63102 64720 65712 71188 76960 77664 82140 84136 87616 88985 89799 92352 97080 101306 105170 106782 109520 115440 119732 126204 129440 131424 142376 149665 151959 153920 155328 157755 164280 168272 177970 179598 194160 202612 210340 213564 219040 230880 239464 252408 253265 258880 262848 266955 284752 299330 303918 315510 328560 336544 355940 359196 388320 389129 405224 420680 427128 438080 448995 461760 478928 504816 506530 533910 569504 598660 607836 631020 654481 657120 658489 673088 711880 718392 759795 776640 778258 810448 841360 854256 897990 957856 1009632 1013060 1067820 1107521 1139008 1167387 1197320 1215672 1262040 1308962 1314240 1316978 1423760 1436784 1519590 1556516 1620896 1682720 1708512 1795980 1915712 1945645 1963443 1975467 2019264 2026120 2135640 2215042 2334774 2394640 2431344 2524080 2617924 2633956 2847520 2873568 3039180 3113032 3241792 3272405 3292445 3322563 3365440 3417024 3591960 3891290 3926886 3950934 4052240 4271280 4430084 4669548 4789280 4862688 5048160 5235848 5267912 5537605 5695040 5747136 5836935 6078360 6226064 6544810 6584890 6645126 7183920 7782580 7853772 7901868 8104480 8508253 8542560 8860168 9339096 9578560 9725376 9817215 9877335 10096320 10471696 10535824 11075210 11673870 12156720 12452128 13089620 13169780 13290252 14367840 14397773 15565160 15707544 15803736 16208960 16612815 17016506 17085120 17720336 18678192 19634430 19754670 20943392 21071648 22150420 23347740 24215797 24313440 24904256 25524759 26179240 26339560 26580504 28735680 28795546 31130320 31415088 31607472 33225630 34033012 35440672 37356384 39268860 39509340 40978277 41886784 42143296 42541265 43193319 44300840 46695480 48431594 48626880 51049518 52358480 52679120 53161008 57591092 62260640 62830176 63214944 66451260 68066024 70881344 71988865 72647391 74712768 78537720 79018680 81956554 85082530 86386638 88601680 93390960 96863188 102099036 104716960 105358240 106322016 115182184 121078985 122934831 124521280 125660352 126429888 127623795 132902520 136132048 143977730 145294782 157075440 158037360 163913108 170165060 172773276 177203360 186781920 193726376 204198072 204891385 209433920 210716480 212644032 215966595 230364368 242157970 245869662 255247590 265805040 272264096 287955460 290589564 314150880 314805361 316074720 327826216 340330120 345546552 354406720 363236955 373563840 387452752 408396144 409782770 431933190 460728736 484315940 491739324 510495180 531610080 532717601 544528192 575910920 581179128 614674155 628301760 629610722 632149440 655652432 680660240 691093104 726473910 774905504 816792288 819565540 863866380 895984489 921457472 944416083 968631880 983478648 1020990360 1063220160 1065435202 1151821840 1162358256 1229348310 1259221444 1311304864 1361320480 1382186208 1452947820 1549811008 1574026805 1598152803 1633584576 1639131080 1727732760 1791968978 1888832166 1937263760 1966957296 2041980720 2130870404 2303643680 2324716512 2458696620 2518442888 2622609728 2663588005 2687953467 2722640960 2764372416 2905895640 3148053610 3196305606 3278262160 3455465520 3583937956 3777664332 3874527520 3933914592 4083961440 4261740808 4479922445 4607287360 4649433024 4722080415 4917393240 5036885776 5327176010 5375906934 5811791280 6296107220 6392611212 6556524320 6910931040 7167875912 7555328664 7749055040 7867829184 7990764015 8167922880 8523481616 8959844890 9444160830 9834786480 10073771552 10654352020 10751813868 11623582560 11647798357 12592214440 12785222424 13113048640 13439767335 13821862080 14335751824 15110657328 15981528030 17046963232 17919689780 18888321660 19669572960 20147543104 21308704040 21503627736 23247165120 23295596714 25184428880 25570444848 26879534670 28671503648 30221314656 31963056060 33151426093 34093926464 34943395071 35839379560 37776643320 39339145920 42617408080 43007255472 46591193428 50368857760 51140889696 53759069340 57343007296 58238991785 60442629312 63926112120 66302852186 69886790142 71678759120 75553286640 85234816160 86014510944 93182386856 99454278279 100737715520 102281779392 107518138680 116477983570 127852224240 132605704372 139773580284 143357518240 151106573280 165757130465 170469632320 172029021888 174716975355 186364773712 198908556558 215036277360 232955967140 255704448480 265211408744 279547160568 286715036480 302213146560 331514260930 349433950710 372729547424 397817113116 430072554720 430968539209 465911934280 497271391395 511408896960 530422817488 559094321136 663028521860 698867901420 745459094848 795634226232 860145109440 861937078418 931823868560 994542782790 1060845634976 1118188642272 1292905617627 1326057043720 1397735802840 1591268452464 1723874156836 1863647737120 1989085565580 2121691269952 2154842696045 2236377284544 2585811235254 2652114087440 2795471605680 3182536904928 3447748313672 3727295474240 3978171131160 4309685392090 5171622470508 5304228174880 5590943211360 6365073809856 6464528088135 6895496627344 7956342262320 8619370784180 10343244941016 10608456349760 11181886422720 12929056176270 13790993254688 15912684524640 17238741568360 20686489882032 25858112352540 27581986509376 31825369049280 34477483136720 41372979764064 51716224705080 68954966273440 82745959528128 103432449410160 137909932546880 206864898820320 413729797640640
• Sum of all divisors σ(n): 1455731787357120
• Sum of proper divisors (its aliquot sum) s(n): 1042001989716480
• 413729797640640 is an abundant number, because the sum of its proper divisors (1042001989716480) is greater than itself. Its abundance is 628272192075840

Bases of 413729797640640

• Binary: 1011110000100100011111001100111110001000111000000₂
• Hexadecimal: 0x17848F99F11C0
• Base-36: 42NKUFBTMO

Squares and roots of 413729797640640

• 413729797640640 squared (413729797640640²) is 171172345455764923710579609600
• 413729797640640 cubed (413729797640640³) is 70819099847087345759279829358092972294144000
• The square root of 413729797640640 is 20340349.0048877971
• The cube root of 413729797640640 is 74514.1812044785

Scales and comparisons

• 413,729,797,640,640 seconds is equal to 13,155,327 years, 42 weeks, 2 days, 13 hours, 4 minutes.
• To count from 1 to 413,729,797,640,640 would take you about thirty-two million, eight hundred eighty-eight thousand, three hundred nineteen 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 413729797640640 cubic inches would be around 6209.5 feet tall.

Recreational maths with 413729797640640

• 413729797640640 backwards is 046046797927314
• The number of decimal digits it has is: 15
• The sum of 413729797640640's digits is 69
• More coming soon!