10400031361440

Names of 10400031361440

• Cardinal: 10400031361440 can be written as Ten trillion, four hundred billion, thirty-one million, three hundred sixty-one thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.040003136144 × 10¹³

Factors of 10400031361440

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 30660

Divisors of 10400031361440

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 84 89 90 96 105 108 112 120 126 127 135 140 144 160 168 178 180 189 210 216 224 240 252 254 267 270 280 288 315 336 356 360 378 381 420 432 445 480 504 508 534 540 560 623 630 635 672 712 720 756 762 801 840 864 889 890 945 1008 1016 1068 1080 1120 1143 1246 1260 1270 1335 1424 1440 1512 1524 1602 1680 1778 1780 1869 1890 1905 2016 2032 2136 2160 2286 2403 2492 2520 2540 2667 2670 2848 3024 3048 3115 3204 3360 3429 3556 3560 3738 3780 3810 4005 4064 4272 4320 4445 4572 4806 4984 5040 5080 5334 5340 5607 5715 6048 6096 6230 6408 6858 7112 7120 7476 7560 7620 8001 8010 8544 8890 9144 9345 9612 9968 10080 10160 10668 10680 11214 11303 11430 12015 12192 12460 12816 13335 13716 14224 14240 14952 15120 15240 16002 16020 16821 17145 17780 18288 18690 19224 19936 20320 21336 21360 22428 22606 22860 24003 24030 24920 25632 26670 27432 28035 28448 29904 30240 30427 30480 32004 32040 33642 33909 34290 35560 36576 37380 38448 40005 42672 42720 44856 45212 45720 48006 48060 49840 53340 54864 56070 56515 59808 60854 60960 64008 64080 67284 67818 68580 71120 74760 76896 79121 80010 84105 85344 89712 90424 91281 91440 96012 96120 99680 101727 106680 109728 112140 113030 120015 121708 128016 128160 134568 135636 137160 142240 149520 152135 158242 160020 168210 169545 179424 180848 182562 182880 192024 192240 203454 212989 213360 224280 226060 237363 240030 243416 256032 269136 271272 273843 274320 299040 304270 305181 316484 320040 336420 339090 361696 365124 384048 384480 395605 406908 425978 426720 448560 452120 456405 474726 480060 486832 508635 538272 542544 547686 548640 608540 610362 632968 638967 640080 672840 678180 712089 730248 768096 791210 813816 821529 851956 897120 904240 912810 949452 960120 973664 1017270 1064945 1085088 1095372 1186815 1217080 1220724 1265936 1277934 1280160 1345680 1356360 1369215 1424178 1460496 1525905 1582420 1627632 1643058 1703912 1808480 1825620 1898904 1916901 1920240 2034540 2129890 2136267 2190744 2373630 2434160 2441448 2531872 2555868 2691360 2708003 2712720 2738430 2848356 2920992 3051810 3164840 3194835 3255264 3286116 3407824 3560445 3651240 3797808 3833802 3840480 3864229 4069080 4107645 4259780 4272534 4381488 4747260 4868320 4882896 5111736 5416006 5425440 5476860 5696712 5750703 6103620 6329680 6389670 6572232 6815648 7120890 7302480 7595616 7667604 7728458 8124009 8138160 8215290 8519560 8545068 8762976 9494520 9584505 9765792 10223472 10681335 10832012 10953720 11393424 11501406 11592687 12207240 12659360 12779340 13144464 13540015 14241780 14604960 15335208 15456916 16248018 16276320 16430580 17039120 17090136 18956021 18989040 19169010 19321145 20446944 21362670 21664024 21907440 22786848 23002812 23185374 24372027 24414480 25558680 26288928 27049603 27080030 28483560 28753515 30670416 30913832 32496036 32861160 34078240 34180272 34778061 37912042 37978080 38338020 38642290 40620045 42725340 43328048 43814880 46005624 46370748 48744054 48828960 51117360 54099206 54160060 56868063 56967120 57507030 57963435 61340832 61827664 64992072 65722320 68360544 69556122 73116081 75824084 76676040 77284580 81148809 81240090 85450680 86656096 92011248 92741496 94780105 97488108 102234720 104334183 108198412 108320120 113736126 113934240 115014060 115926870 121860135 123655328 129984144 131444640 135248015 139112244 146232162 151648168 153352080 154569160 162297618 162480180 170604189 170901360 173890305 184022496 185482992 189560210 194976216 208668366 216396824 216640240 227472252 230028120 231853740 243446427 243720270 259968288 270496030 278224488 284340315 292464324 303296336 306704160 309138320 324595236 324960360 341208378 341802720 343916381 347780610 365580405 370965984 379120420 389952432 405744045 417336732 432793648 433280480 454944504 460056240 463707480 486892854 487440540 511812567 521670915 540992060 556448976 568680630 584928648 606592672 618276640 649190472 649920720 682416756 687832762 695561220 730339281 731160810 758240840 779904864 811488090 834673464 853020945 865587296 909889008 920112480 927414960 973785708 974881080 1023625134 1031749143 1043341830 1081984120 1112897952 1137361260 1169857296 1217232135 1298380944 1299841440 1364833512 1375665524 1391122440 1460678562 1462321620 1516481680 1622976180 1669346928 1706041890 1719581905 1819778016 1854829920 1947571416 1949762160 2047250268 2063498286 2086683660 2163968240 2274722520 2339714592 2407414667 2434464270 2559062835 2596761888 2729667024 2751331048 2782244880 2921357124 2924643240 3032963360 3095247429 3245952360 3338693856 3412083780 3439163810 3651696405 3895142832 3899524320 4094500536 4126996572 4173367320 4327936480 4549445040 4814829334 4868928540 5118125670 5158745715 5459334048 5502662096 5564489760 5842714248 5849286480 6190494858 6491904720 6824167560 6878327620 7222244001 7303392810 7790285664 8189001072 8253993144 8346734640 9098890080 9285742287 9629658668 9737857080 10236251340 10317491430 11005324192 11685428496 11698572960 12037073335 12380989716 12983809440 13648335120 13756655240 14444488002 14606785620 15476237145 16378002144 16507986288 16693469280 18571484574 19259317336 19475714160 20472502680 20634982860 21666732003 23370856992 24074146670 24761979432 27296670240 27513310480 28888976004 29213571240 30952474290 33015972576 36111220005 37142969148 38518634672 38951428320 40945005360 41269965720 43333464006 46428711435 48148293340 49523958864 55026620960 57777952008 58427142480 61904948580 65000196009 72222440010 74285938296 77037269344 81890010720 82539931440 86666928012 92857422870 96296586680 99047917728 108333660015 115555904016 116854284960 123809897160 130000392018 144444880020 148571876592 165079862880 173333856024 185714845740 192593173360 216667320030 231111808032 247619794320 260000784036 288889760040 297143753184 325000980045 346667712048 371429691480 385186346720 433334640060 495239588640 520001568072 577779520080 650001960090 693335424096 742859382960 866669280120 1040003136144 1155559040160 1300003920180 1485718765920 1733338560240 2080006272288 2600007840360 3466677120480 5200015680720 10400031361440
• Sum of all divisors σ(n): 42400176537600
• Sum of proper divisors (its aliquot sum) s(n): 32000145176160
• 10400031361440 is an abundant number, because the sum of its proper divisors (32000145176160) is greater than itself. Its abundance is 21600113814720

Bases of 10400031361440

• Binary: 10010111010101110010001011001100100110100000₂
• Hexadecimal: 0x975722CC9A0
• Base-36: 3OPPI5GO0

Squares and roots of 10400031361440

• 10400031361440 squared (10400031361440²) is 108160652318935539918873600
• 10400031361440 cubed (10400031361440³) is 1124874176190737676314084473359273984000
• The square root of 10400031361440 is 3224907.9617006127
• The cube root of 10400031361440 is 21827.8796020029

Scales and comparisons

• 10,400,031,361,440 seconds is equal to 330,688 years, 43 weeks, 8 hours, 24 minutes.
• To count from 1 to 10,400,031,361,440 would take you about eight hundred twenty-six thousand, seven hundred twenty-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 10400031361440 cubic inches would be around 1819 feet tall.

Recreational maths with 10400031361440

• 10400031361440 backwards is 04416313000401
• 10400031361440 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 10400031361440's digits is 27
• More coming soon!