40218958480896

Names of 40218958480896

• Cardinal: 40218958480896 can be written as Forty trillion, two hundred eighteen billion, nine hundred fifty-eight million, four hundred eighty thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 4.0218958480896 × 10¹³

Factors of 40218958480896

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2899

Divisors of 40218958480896

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 127 128 144 156 162 192 208 216 233 234 254 256 288 312 324 351 381 384 416 432 466 468 508 512 576 624 648 699 702 762 768 832 864 932 936 1016 1053 1143 1152 1248 1296 1398 1404 1524 1536 1651 1664 1728 1864 1872 2032 2097 2106 2286 2304 2496 2521 2592 2796 2808 3029 3048 3302 3328 3429 3456 3728 3744 4064 4194 4212 4572 4608 4953 4992 5042 5184 5592 5616 6058 6096 6291 6604 6656 6858 6912 7456 7488 7563 8128 8388 8424 9087 9144 9906 9984 10084 10287 10368 11184 11232 12116 12192 12582 13208 13716 13824 14859 14912 14976 15126 16256 16776 16848 18174 18288 18873 19812 19968 20168 20574 20736 22368 22464 22689 24232 24384 25164 26416 27261 27432 29591 29718 29824 29952 30252 32512 32773 33552 33696 36348 36576 37746 39624 40336 41148 41472 44577 44736 44928 45378 48464 48768 50328 52832 54522 54864 59182 59436 59648 59904 60504 65024 65546 67104 67392 68067 72696 73152 75492 79248 80672 81783 82296 88773 89154 89472 89856 90756 96928 97536 98319 100656 105664 109044 109728 118364 118872 119296 121008 131092 133731 134208 134784 136134 145392 146304 150984 158496 161344 163566 164592 177546 178308 178944 179712 181512 193856 195072 196638 201312 204201 211328 218088 219456 236728 237744 242016 245349 262184 266319 267462 268416 269568 272268 290784 292608 294957 301968 316992 320167 322688 327132 329184 355092 356616 357888 363024 384683 387712 393276 402624 408402 422656 436176 438912 473456 475488 484032 490698 524368 532638 534924 536832 539136 544536 581568 585216 587393 589914 603936 633984 640334 645376 654264 658368 710184 713232 726048 769366 775424 786552 798957 805248 816804 845312 872352 877824 884871 946912 950976 960501 968064 981396 1048736 1065276 1069848 1073664 1089072 1154049 1163136 1174786 1179828 1207872 1267968 1280668 1290752 1308528 1316736 1420368 1426464 1452096 1538732 1550848 1573104 1597914 1610496 1633608 1744704 1755648 1762179 1769742 1893824 1901952 1921002 1936128 1962792 2097472 2130552 2139696 2178144 2308098 2326272 2349572 2359656 2396871 2415744 2535936 2561336 2617056 2633472 2654613 2840736 2852928 2881503 2904192 3077464 3146208 3195828 3220992 3267216 3462147 3489408 3524358 3539484 3787648 3803904 3842004 3872256 3925584 4162171 4194944 4261104 4279392 4356288 4616196 4652544 4699144 4719312 4793742 4831488 5122672 5234112 5266944 5286537 5309226 5681472 5705856 5763006 5808384 6154928 6292416 6391656 6534432 6924294 6978816 7048716 7078968 7575296 7607808 7636109 7684008 7851168 8324342 8389888 8522208 8558784 8644509 8712576 9232392 9398288 9438624 9587484 9662976 10245344 10386441 10468224 10573074 10618452 11362944 11411712 11526012 11616768 12309856 12486513 12584832 12783312 13068864 13848588 13957632 14097432 14157936 15150592 15272218 15368016 15702336 15859611 16648684 16779776 17044416 17117568 17289018 17425152 18464784 18796576 18877248 19174968 20490688 20772882 20936448 21146148 21236904 22725888 22823424 22908327 23052024 24619712 24973026 25169664 25566624 25933527 26137728 27697176 28194864 28315872 30544436 30736032 31159323 31404672 31719222 33297368 34088832 34235136 34578036 34850304 36929568 37459539 37593152 37754496 38349936 40981376 41545764 41872896 42292296 42473808 45451776 45816654 46104048 47578833 49239424 49946052 50339328 51133248 51867054 52275456 55394352 56389728 56631744 61088872 61472064 62318646 62809344 63438444 66594736 68177664 68470272 68724981 69156072 73859136 74598911 74919078 75186304 75508992 76699872 81962752 83091528 84584592 84947616 91633308 92208096 95157666 98478848 99892104 102266496 103734108 104550912 110788704 112378617 112779456 113263488 122177744 122944128 124637292 125618688 126876888 133189472 136355328 137449962 138312144 147718272 149197822 149838156 150372608 151017984 153399744 163925504 166183056 169169184 169895232 183266616 184416192 190315332 196957696 199784208 204532992 206174943 207468216 221577408 223796733 224757234 225558912 226526976 244355488 245888256 249274584 253753776 266378944 274899924 276624288 295436544 298395644 299676312 300745216 306799488 332366112 337135851 338338368 339790464 366533232 368832384 380630664 399568416 409065984 412349886 414936432 443154816 447593466 449514468 451117824 453053952 488710976 491776512 498549168 507507552 532757888 549799848 553248576 590873088 596791288 599352624 613598976 618524829 664732224 671390199 674271702 676676736 679580928 733066464 737664768 761261328 799136832 824699772 829872864 886309632 895186932 899028936 902235648 969785843 977421952 997098336 1015015104 1065515776 1099599696 1106497152 1193582576 1198705248 1227197952 1237049658 1329464448 1342780398 1348543404 1353353472 1359161856 1466132928 1475329536 1522522656 1598273664 1649399544 1659745728 1772619264 1790373864 1798057872 1939571686 1954843904 1994196672 2014170597 2030030208 2131031552 2199199392 2212994304 2387165152 2397410496 2474099316 2658928896 2685560796 2697086808 2706706944 2909357529 2932265856 3045045312 3196547328 3298799088 3319491456 3580747728 3596115744 3879143372 3909687808 3988393344 4028341194 4060060416 4398398784 4425988608 4774330304 4794820992 4948198632 5317857792 5371121592 5394173616 5818715058 5864531712 6042511791 6090090624 6393094656 6597598176 6638982912 7161495456 7192231488 7758286744 7976786688 8056682388 8120120832 8728072587 8796797568 9548660608 9589641984 9896397264 10742243184 10788347232 11637430116 11729063424 12085023582 12180181248 13195196352 13277965824 14322990912 14384462976 15516573488 15953573376 16113364776 17456145174 17593595136 19097321216 19179283968 19792794528 21484486368 21576694464 23274860232 24170047164 24360362496 26184217761 26390392704 28645981824 28768925952 31033146976 32226729552 34912290348 35187190272 38194642432 39585589056 42968972736 43153388928 46549720464 48340094328 52368435522 52780785408 57291963648 57537851904 62066293952 64453459104 69824580696 78552653283 79171178112 85937945472 86306777856 93099440928 96680188656 104736871044 105561570816 114583927296 124132587904 128906918208 139649161392 157105306566 158342356224 171875890944 172613555712 186198881856 193360377312 209473742088 248265175808 257813836416 279298322784 314210613132 316684712448 343751781888 372397763712 386720754624 418947484176 496530351616 515627672832 558596645568 628421226264 744795527424 773441509248 837894968352 1031255345664 1117193291136 1256842452528 1489591054848 1546883018496 1675789936704 2234386582272 2513684905056 3093766036992 3351579873408 4468773164544 5027369810112 6703159746816 10054739620224 13406319493632 20109479240448 40218958480896
• Sum of all divisors σ(n): 130906119472128
• Sum of proper divisors (its aliquot sum) s(n): 90687160991232
• 40218958480896 is an abundant number, because the sum of its proper divisors (90687160991232) is greater than itself. Its abundance is 50468202510336

Bases of 40218958480896

• Binary: 1001001001010000110100101110111100011000000000₂
• Hexadecimal: 0x249434BBC600
• Base-36: E98C1GG00

Squares and roots of 40218958480896

• 40218958480896 squared (40218958480896²) is 1617564621288036283996962816
• 40218958480896 cubed (40218958480896³) is 65056764343749793327481416453269158363136
• The square root of 40218958480896 is 6341841.8839400277
• The cube root of 40218958480896 is 34261.8077052301

Scales and comparisons

• 40,218,958,480,896 seconds is equal to 1,278,838 years, 24 weeks, 4 days, 15 hours, 21 minutes, 36 seconds.
• To count from 1 to 40,218,958,480,896 would take you about three million, one hundred ninety-seven thousand and ninety-six 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 40218958480896 cubic inches would be around 2855.2 feet tall.

Recreational maths with 40218958480896

• 40218958480896 backwards is 69808485981204
• 40218958480896 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40218958480896's digits is 72
• More coming soon!