4131115089920

Names of 4131115089920

• Cardinal: 4131115089920 can be written as Four trillion, one hundred thirty-one billion, one hundred fifteen million, eighty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.13111508992 × 10¹²

Factors of 4131115089920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 350

Divisors of 4131115089920

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 64 65 70 80 91 97 104 112 116 128 130 140 145 160 182 194 197 203 208 224 232 256 260 280 290 320 364 377 388 394 406 416 448 455 464 485 512 520 560 580 640 679 728 754 776 788 812 832 896 910 928 970 985 1015 1024 1040 1120 1160 1261 1280 1358 1379 1456 1508 1552 1576 1624 1664 1792 1820 1856 1885 1940 1970 2030 2048 2080 2240 2320 2522 2560 2561 2639 2716 2758 2813 2912 3016 3104 3152 3248 3328 3395 3584 3640 3712 3770 3880 3940 4060 4096 4160 4480 4640 5044 5120 5122 5278 5432 5516 5626 5713 5824 6032 6208 6304 6305 6496 6656 6790 6895 7168 7280 7424 7540 7760 7880 8120 8192 8320 8827 8960 9280 10088 10240 10244 10556 10864 11032 11252 11426 11648 12064 12416 12608 12610 12805 12992 13195 13312 13580 13790 14065 14336 14560 14848 15080 15520 15760 16240 16384 16640 17654 17920 17927 18560 19109 19691 20176 20480 20488 21112 21728 22064 22504 22852 23296 24128 24832 25216 25220 25610 25984 26390 26624 27160 27580 28130 28565 28672 29120 29696 30160 31040 31520 32480 33280 35308 35840 35854 36569 37120 38218 39382 39991 40352 40960 40976 42224 43456 44128 44135 45008 45704 46592 48256 49664 50432 50440 51220 51968 52780 53248 54320 55160 56260 57130 57344 58240 59392 60320 62080 63040 64960 66560 70616 71680 71708 73138 74240 74269 76436 78764 79982 80704 81920 81952 84448 86912 88256 88270 89635 90016 91408 93184 95545 96512 98455 99328 100864 100880 102440 103936 105560 106496 108640 110320 112520 114260 114688 116480 118784 120640 124160 126080 129920 133120 133763 141232 143360 143416 146276 148480 148538 152872 157528 159964 161408 163904 168896 173824 176512 176540 179270 180032 182816 182845 186368 191090 193024 196910 198656 199955 201728 201760 204880 207872 211120 212992 217280 220640 225040 228520 232960 237568 241280 248320 248417 252160 255983 259840 266240 267526 282464 286720 286832 292552 296960 297076 305744 315056 319928 322816 327808 337792 347648 353024 353080 358540 360064 365632 365690 371345 372736 382180 386048 393820 397312 399910 403456 403520 409760 415744 422240 434560 441280 450080 457040 465920 475136 482560 496640 496834 504320 511966 519680 519883 532480 535052 554161 564928 573440 573664 585104 593920 594152 611488 630112 639856 645632 655616 668815 675584 695296 706048 706160 717080 720128 731264 731380 742690 745472 764360 772096 787640 794624 799820 806912 807040 819520 831488 844480 869120 882560 900160 914080 931840 965120 993280 993668 1008640 1023932 1039360 1039766 1064960 1070104 1108322 1129856 1147328 1170208 1187840 1188304 1222976 1242085 1260224 1279712 1279915 1291264 1311232 1337630 1351168 1390592 1412096 1412320 1434160 1440256 1462528 1462760 1485380 1490944 1528720 1544192 1575280 1589248 1599640 1613824 1614080 1639040 1662976 1688960 1738240 1738919 1765120 1800320 1828160 1863680 1930240 1986560 1987336 2017280 2047864 2078720 2079532 2140208 2216644 2259712 2294656 2340416 2375680 2376608 2445952 2484170 2520448 2559424 2559830 2582528 2599415 2622464 2675260 2702336 2770805 2781184 2824192 2824640 2868320 2880512 2925056 2925520 2970760 3057440 3088384 3150560 3199280 3227648 3228160 3278080 3325952 3377920 3476480 3477838 3530240 3600640 3656320 3727360 3860480 3879127 3973120 3974672 4034560 4095728 4157440 4159064 4280416 4433288 4519424 4589312 4680832 4753216 4891904 4968340 5040896 5118848 5119660 5165056 5198830 5244928 5350520 5404672 5541610 5562368 5648384 5649280 5736640 5761024 5850112 5851040 5941520 6114880 6176768 6301120 6398560 6456320 6556160 6755840 6952960 6955676 7060480 7201280 7204093 7312640 7454720 7720960 7758254 7946240 7949344 8069120 8191456 8314880 8318128 8560832 8694595 8866576 9038848 9178624 9361664 9506432 9783808 9936680 10081792 10237696 10239320 10330112 10397660 10489856 10701040 10809344 11083220 11124736 11296768 11298560 11473280 11522048 11700224 11702080 11883040 12229760 12602240 12797120 12912640 13112320 13511680 13905920 13911352 14120960 14402560 14408186 14625280 15441920 15516508 15898688 16138240 16382912 16629760 16636256 17121664 17389190 17733152 18077696 18357248 18723328 19012864 19395635 19567616 19873360 20163584 20475392 20478640 20660224 20795320 20979712 21402080 21618688 22166440 22593536 22597120 22946560 23044096 23400448 23404160 23766080 24459520 25204480 25594240 25825280 26224640 27023360 27811840 27822704 28241920 28805120 28816372 29250560 30883840 31033016 31797376 32765824 33272512 34243328 34778380 35466304 36020465 36155392 36714496 37446656 38025728 38791270 39135232 39746720 40327168 40950784 40957280 41590640 41959424 42804160 43237376 44332880 45194240 45893120 46088192 46800896 46808320 47532160 48919040 50408960 50428651 51188480 51650560 52449280 54046720 55623680 55645408 56483840 57610240 57632744 58501120 62066032 63594752 65531648 66545024 68486656 69556760 70932608 72040930 72310784 73428992 74893312 76051456 77582540 78270464 79493440 80654336 81901568 81914560 83181280 85608320 88665760 90388480 91786240 93601792 93616640 95064320 97838080 100817920 100857302 102376960 103301120 104898560 108093440 111290816 112967680 115220480 115265488 117002240 124132064 127189504 131063296 133090048 136973312 139113520 141865216 144081860 144621568 146857984 149786624 152102912 155165080 156540928 158986880 161308672 163803136 163829120 166362560 171216640 177331520 180776960 183572480 187233280 190128640 195676160 201635840 201714604 204753920 209797120 216186880 222581632 230440960 230530976 234004480 248264128 252143255 254379008 262126592 266180096 273946624 278227040 283730432 288163720 293715968 299573248 304205824 310330160 313081856 317973760 322617344 327606272 327658240 332725120 342433280 354663040 361553920 367144960 374466560 380257280 391352320 403271680 403429208 409507840 445163264 461061952 468008960 496528256 504286510 508758016 524253184 532360192 547893248 556454080 567460864 576327440 599146496 608411648 620660320 635947520 655212544 655316480 665450240 684866560 709326080 723107840 734289920 748933120 760514560 782704640 806543360 806858416 819015680 890326528 922123904 993056512 1008573020 1017516032 1048506368 1064720384 1095786496 1112908160 1134921728 1152654880 1216823296 1241320640 1271895040 1310632960 1330900480 1369733120 1418652160 1468579840 1497866240 1521029120 1565409280 1613086720 1613716832 1638031360 1780653056 1844247808 1986113024 2017146040 2035032064 2097012736 2129440768 2191572992 2225816320 2269843456 2305309760 2482641280 2543790080 2621265920 2661800960 2739466240 2837304320 2995732480 3042058240 3227433664 3276062720 3561306112 3688495616 3972226048 4034292080 4070064128 4194025472 4258881536 4451632640 4539686912 4610619520 4965282560 5087580160 5242531840 5323601920 5478932480 5674608640 6084116480 6454867328 7122612224 7376991232 7944452096 8068584160 8517763072 8903265280 9079373824 9221239040 9930565120 10175160320 10485063680 10647203840 10957864960 11349217280 12909734656 14245224448 14753982464 15888904192 16137168320 17806530560 18442478080 19861130240 20350320640 20970127360 21294407680 22698434560 25819469312 28490448896 29507964928 31777808384 32274336640 35613061120 36884956160 39722260480 42588815360 45396869120 51638938624 59015929856 63555616768 64548673280 71226122240 73769912320 79444520960 103277877248 118031859712 129097346560 142452244480 147539824640 158889041920 206555754496 258194693120 295079649280 317778083840 413111508992 516389386240 590159298560 826223017984 1032778772480 2065557544960 4131115089920
• Sum of all divisors σ(n): 12817947098880
• Sum of proper divisors (its aliquot sum) s(n): 8686832008960
• 4131115089920 is an abundant number, because the sum of its proper divisors (8686832008960) is greater than itself. Its abundance is 4555716919040

Bases of 4131115089920

• Binary: 111100000111011001101001011100000000000000₂
• Hexadecimal: 0x3C1D9A5C000
• Base-36: 1GPT39FY8

Squares and roots of 4131115089920

• 4131115089920 squared (4131115089920²) is 17066111886164729685606400
• 4131115089920 cubed (4131115089920³) is 70502072339198188079086376465727488000
• The square root of 4131115089920 is 2032514.4747135259
• The cube root of 4131115089920 is 16045.5927313583

Scales and comparisons

• 4,131,115,089,920 seconds is equal to 131,356 years, 35 weeks, 3 days, 1 hour, 25 minutes, 20 seconds.
• To count from 1 to 4,131,115,089,920 would take you about three hundred twenty-eight thousand, three hundred ninety-one 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 4131115089920 cubic inches would be around 1337.1 feet tall.

Recreational maths with 4131115089920

• 4131115089920 backwards is 0299805111314
• The number of decimal digits it has is: 13
• The sum of 4131115089920's digits is 44
• More coming soon!