400940447082048

Names of 400940447082048

• Cardinal: 400940447082048 can be written as Four hundred trillion, nine hundred forty billion, four hundred forty-seven million, eighty-two thousand and forty-eight.

Scientific notation

• Scientific notation: 4.00940447082048 × 10¹⁴

Factors of 400940447082048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2228

Divisors of 400940447082048

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 67 72 76 96 108 114 134 144 152 171 192 201 216 228 268 288 304 342 361 402 432 456 513 536 576 603 608 684 722 804 864 912 1026 1072 1083 1206 1216 1273 1368 1444 1608 1728 1809 1824 2052 2137 2144 2166 2412 2546 2736 2888 3216 3249 3618 3648 3819 4104 4274 4288 4332 4489 4824 5092 5472 5776 6411 6432 6498 7236 7638 8208 8548 8664 8978 9648 9747 10184 10944 11457 11552 12822 12864 12996 13467 14472 15276 16416 17096 17328 17956 19233 19296 19494 20368 22914 23104 24187 25644 25992 26934 28944 30552 32832 34192 34371 34656 35912 38466 38592 38988 40401 40603 40736 45828 48374 51288 51984 53868 57699 57888 61104 68384 68742 69312 71824 72561 76932 77976 80802 81206 81472 85291 91656 96748 102576 103968 107736 115398 115776 121203 121809 122208 136768 137484 143179 143648 145122 153864 155952 161604 162412 170582 183312 193496 205152 207936 215472 217683 230796 242406 243618 244416 255873 274968 286358 287296 290244 300763 307728 311904 323208 324824 341164 365427 366624 386992 410304 429537 430944 435366 461592 484812 487236 511746 549936 572716 580488 601526 615456 623808 646416 649648 653049 682328 730854 733248 767619 771457 773984 859074 861888 870732 902289 923184 969624 974472 1023492 1096281 1099872 1145432 1160976 1203052 1230912 1288611 1292832 1299296 1306098 1364656 1461708 1535238 1542914 1547968 1620529 1718148 1741464 1804578 1846368 1939248 1948944 2046984 2192562 2199744 2290864 2302857 2314371 2321952 2406104 2577222 2585664 2598592 2612196 2706867 2720401 2729312 2923416 3070476 3085828 3241058 3436296 3482928 3609156 3692736 3865833 3878496 3897888 4093968 4385124 4581728 4605714 4628742 4643904 4812208 4861587 5154444 5224392 5413734 5440802 5458624 5714497 5846832 6140952 6171656 6482116 6872592 6943113 6965856 7218312 7731666 7756992 7795776 8120601 8161203 8187936 8770248 9163456 9211428 9257484 9592993 9624416 9723174 10308888 10448784 10827468 10881604 11428994 11693664 12281904 12343312 12964232 13745184 13886226 13931712 14436624 14584761 15463332 16241202 16322406 16375872 17143491 17540496 18422856 18514968 19185986 19248832 19446348 20617776 20829339 20897568 21654936 21763208 22857988 23387328 24483609 24563808 24686624 25928464 27490368 27772452 28778979 28873248 29169522 30926664 32482404 32644812 34286982 35080992 36845712 37029936 38371972 38892696 41235552 41658678 41795136 43309872 43526416 43754283 45715976 48967218 49127616 49373248 51430473 51687619 51856928 55544904 57557958 57746496 58339044 61853328 64964808 65289624 68573964 70161984 73450827 73691424 74059872 76743944 77785392 82471104 83317356 86336937 86619744 87052832 87508566 91431952 97934436 102860946 103375238 103713856 108575443 111089808 115115916 116678088 123706656 129929616 130579248 137147928 146901654 147382848 148119744 153487888 154291419 155062857 155570784 166634712 172673874 173239488 174105664 175017132 182266867 182863904 195868872 205721892 206750476 217150886 222179616 230231832 233356176 247413312 259010811 259859232 261158496 274295856 293803308 306975776 308582838 310125714 311141568 325726329 333269424 345347748 350034264 364533734 365727808 391737744 411443784 413500952 434301772 444359232 460463664 465188571 466712352 518021622 519718464 522316992 546800601 548591712 587606616 613951552 617165676 620251428 642730531 651452658 666538848 690695496 700068528 729067468 783475488 822887568 827001904 868603544 920927328 930377142 933424704 977178987 1036043244 1093601202 1097183424 1175213232 1234331352 1240502856 1285461062 1302905316 1333077696 1381390992 1395565713 1400137056 1458134936 1566950976 1640401803 1645775136 1654003808 1737207088 1841854656 1860754284 1928191593 1954357974 2072086488 2187202404 2350426464 2468662704 2481005712 2570922124 2605810632 2762781984 2791131426 2800274112 2916269872 2931536961 3280803606 3291550272 3308007616 3463070473 3474414176 3721508568 3856383186 3908715948 4144172976 4374404808 4700852928 4921205409 4937325408 4962011424 5141844248 5211621264 5525563968 5582262852 5784574779 5832539744 5863073922 6561607212 6926140946 6948828352 7443017136 7712766372 7817431896 8288345952 8748809616 9842410818 9874650816 9924022848 10283688496 10389211419 10423242528 11164525704 11569149558 11665079488 11726147844 12211880089 13123214424 13852281892 14886034272 15425532744 15634863792 16576691904 17353724337 17497619232 19684821636 20567376992 20778422838 20846485056 22329051408 23138299116 23452295688 24423760178 26246428848 27704563784 29772068544 30851065488 31167634257 31269727584 34707448674 34995238464 36635640267 39369643272 41134753984 41556845676 44658102816 46276598232 46904591376 48847520356 52492857696 55409127568 61702130976 62335268514 62539455168 69414897348 73271280534 78739286544 83113691352 89316205632 92553196464 93502902771 93809182752 97695040712 104985715392 109906920801 110818255136 123404261952 124670537028 138829794696 146542561068 157478573088 166227382704 185106392928 187005805542 187618365504 195390081424 219813841602 221636510272 232025721691 249341074056 277659589392 293085122136 314957146176 329720762403 332454765408 370212785856 374011611084 390780162848 439627683204 464051443382 498682148112 555319178784 586170244272 659441524806 664909530816 696077165073 748023222168 781560325696 879255366408 928102886764 997364296224 1110638357568 1172340488544 1318883049612 1392154330146 1496046444336 1758510732816 1856205773528 1994728592448 2088231495219 2344680977088 2637766099224 2784308660292 2992092888672 3517021465632 3712411547056 4176462990438 5275532198448 5568617320584 5984185777344 6264694485657 7034042931264 7424823094112 8352925980876 10551064396896 11137234641168 12529388971314 14849646188224 16705851961752 21102128793792 22274469282336 25058777942628 33411703923504 44548938564672 50117555885256 66823407847008 100235111770512 133646815694016 200470223541024 400940447082048
• Sum of all divisors σ(n): 1263431331196800
• Sum of proper divisors (its aliquot sum) s(n): 862490884114752
• 400940447082048 is an abundant number, because the sum of its proper divisors (862490884114752) is greater than itself. Its abundance is 461550437032704

Bases of 400940447082048

• Binary: 1011011001010011100111000111011001010011001000000₂
• Hexadecimal: 0x16CA738ECA640
• Base-36: 3Y4DHY7TC0

Squares and roots of 400940447082048

• 400940447082048 squared (400940447082048²) is 160753242106352532597643874304
• 400940447082048 cubed (400940447082048³) is 64452476760009687967623418704829058486894592
• The square root of 400940447082048 is 20023497.3738867107
• The cube root of 400940447082048 is 73738.3287221065

Scales and comparisons

• 400,940,447,082,048 seconds is equal to 12,748,666 years, 1 week, 2 days, 19 hours, 40 minutes, 48 seconds.
• To count from 1 to 400,940,447,082,048 would take you about thirty-one million, eight hundred seventy-one thousand, six hundred sixty-five 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 400940447082048 cubic inches would be around 6144.9 feet tall.

Recreational maths with 400940447082048

• 400940447082048 backwards is 840280744049004
• 400940447082048 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 400940447082048's digits is 54
• More coming soon!