40406446168704

Names of 40406446168704

• Cardinal: 40406446168704 can be written as Forty trillion, four hundred six billion, four hundred forty-six million, one hundred sixty-eight thousand, seven hundred four.

Scientific notation

• Scientific notation: 4.0406446168704 × 10¹³

Factors of 40406446168704

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 141034

Divisors of 40406446168704

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 53 56 61 63 64 66 72 77 84 88 96 99 106 112 122 126 128 132 144 154 159 168 176 183 192 198 212 224 231 244 252 264 288 308 318 336 352 366 371 384 396 424 427 448 462 477 488 504 528 549 576 583 616 636 671 672 693 704 732 742 792 848 854 896 924 954 976 1008 1056 1098 1113 1152 1166 1232 1272 1281 1342 1344 1386 1408 1464 1484 1584 1696 1708 1749 1848 1908 1952 2013 2016 2112 2196 2226 2332 2464 2544 2562 2684 2688 2772 2928 2968 3168 3233 3339 3392 3416 3498 3696 3816 3843 3904 4026 4032 4081 4224 4392 4452 4664 4697 4928 5088 5124 5247 5368 5544 5856 5936 6039 6336 6466 6678 6784 6832 6996 7392 7632 7686 7808 8052 8064 8162 8784 8904 9328 9394 9699 9856 10176 10248 10494 10736 11088 11712 11872 12078 12243 12672 12932 13356 13664 13992 14091 14784 15264 15372 16104 16324 17568 17808 18656 18788 19398 20352 20496 20988 21472 22176 22631 23424 23744 24156 24486 25864 26712 27328 27984 28182 29097 29568 30528 30744 32208 32648 35136 35563 35616 36729 37312 37576 38796 40992 41976 42273 42944 44352 45262 47488 48312 48972 51728 53424 54656 55968 56364 58194 61056 61488 64416 65296 67893 70272 71126 71232 73458 74624 75152 77592 81984 83952 84546 85888 88704 90524 96624 97944 103456 106689 106848 111936 112728 116388 122976 128832 130592 135786 140897 142252 142464 146916 150304 155184 163968 167904 169092 181048 193248 195888 203679 206912 213378 213696 223872 225456 232776 245952 248941 257664 261184 271572 281794 284504 293832 300608 310368 320067 335808 338184 362096 386496 391776 407358 413824 422691 426756 427392 450912 465552 491904 497882 522368 543144 563588 569008 587664 601216 620736 640134 671616 676368 724192 746823 772992 783552 814716 845382 853512 901824 931104 986279 995764 1086288 1127176 1138016 1175328 1241472 1268073 1280268 1352736 1448384 1493646 1549867 1567104 1629432 1690764 1707024 1803648 1862208 1972558 1991528 2172576 2240469 2254352 2276032 2350656 2536146 2560536 2705472 2896768 2958837 2987292 3099734 3258864 3381528 3414048 3724416 3945116 3983056 4345152 4480938 4508704 4552064 4649601 4701312 5072292 5121072 5410944 5917674 5974584 6199468 6517728 6763056 6828096 7467541 7890232 7966112 8594717 8690304 8876511 8961876 9017408 9299202 10144584 10242144 10849069 11835348 11949168 12398936 13035456 13526112 13656192 13948803 14935082 15780464 15932224 17189434 17753022 17923752 18034816 18598404 20289168 20484288 21698138 22402623 23670696 23898336 24797872 25784151 26070912 27052224 27897606 29870164 31560928 31864448 32547207 34378868 35506044 35847504 37196808 40578336 40968576 43396276 44805246 47341392 47796672 49595744 51568302 52272787 54104448 55795212 59740328 60163019 63121856 65094414 67207869 68757736 71012088 71695008 74393616 77352453 81156672 82142951 86792552 89610492 94541887 94682784 95593344 97641621 99191488 103136604 104545574 111590424 119480656 120326038 126243712 130188828 134415738 137515472 142024176 143390016 148787232 154704906 156818361 162313344 164285902 173585104 179220984 180489057 189083774 189365568 195283242 198382976 206273208 209091148 223180848 238961312 240652076 246428853 260377656 268831476 275030944 283625661 284048352 286780032 297574464 309409812 313636722 328571804 347170208 358441968 360978114 378167548 378731136 390566484 412546416 418182296 446361696 455520001 470455083 477922624 481304152 492857706 520755312 537662952 541467171 550061888 567251322 568096704 575000657 595148928 618819624 627273444 657143608 661793209 694340416 716883936 721956228 739286559 756335096 781132968 825092832 836364592 850876983 892723392 911040002 940910166 955845248 962608304 985715412 1041510624 1075325904 1082934342 1100123776 1134502644 1136193408 1150001314 1237639248 1254546888 1314287216 1323586418 1366560003 1388680832 1433767872 1443912456 1478573118 1512670192 1562265936 1650185664 1672729184 1701753966 1725001971 1785446784 1822080004 1881820332 1925216608 1971430824 1985379627 2083021248 2150651808 2165868684 2269005288 2300002628 2475278496 2509093776 2628574432 2647172836 2733120006 2867535744 2887824912 2957146236 3025340384 3124531872 3188640007 3300371328 3345458368 3403507932 3450003942 3644160008 3763640664 3850433216 3942861648 3970759254 4099680009 4166042496 4301303616 4331737368 4538010576 4600005256 4950556992 5010720011 5018187552 5175005913 5257148864 5294345672 5466240012 5775649824 5914292472 5956138881 6050680768 6249063744 6377280014 6690916736 6807015864 6900007884 7288320016 7527281328 7700866432 7885723296 7941518508 8199360018 8602607232 8663474736 9076021152 9200010512 9565920021 9901113984 10021440022 10036375104 10350011826 10514297728 10588691344 10932480024 11551299648 11828584944 11912277762 12101361536 12498127488 12754560028 13614031728 13800015768 14576640032 15032160033 15054562656 15771446592 15883037016 16398720036 17326949472 18152042304 18400021024 19131840042 20042880044 20072750208 20700023652 21177382688 21864960048 23102599296 23657169888 23824555524 25509120056 27228063456 27600031536 28697760063 29153280064 30064320066 30109125312 31542893184 31766074032 32797440072 34653898944 35075040077 36304084608 36800042048 38263680084 40085760088 41400047304 42354765376 43729920096 45096480099 47314339776 47649111048 51018240112 54456126912 55200063072 57395520126 58306560128 60128640132 60218250624 63532148064 65594880144 69307797888 70150080154 73600084096 76527360168 80171520176 82800094608 84709530752 87459840192 90192960198 94628679552 95298222096 102036480224 105225120231 108912253824 110400126144 114791040252 120257280264 127064296128 131189760288 140300160308 153054720336 160343040352 165600189216 174919680384 180385920396 190596444192 204072960448 210450240462 220800252288 229582080504 240514560528 254128592256 262379520576 280600320616 306109440672 315675360693 320686080704 331200378432 360771840792 381192888384 408145920896 420900480924 459164161008 481029121056 524759041152 561200641232 612218881344 631350721386 641372161408 662400756864 721543681584 762385776768 841800961848 918328322016 962058242112 1122401282464 1224437762688 1262701442772 1443087363168 1683601923696 1836656644032 1924116484224 2244802564928 2525402885544 2886174726336 3367203847392 3673313288064 4489605129856 5050805771088 5772349452672 6734407694784 10101611542176 13468815389568 20203223084352 40406446168704
• Sum of all divisors σ(n): 150122242632960
• Sum of proper divisors (its aliquot sum) s(n): 109715796464256
• 40406446168704 is an abundant number, because the sum of its proper divisors (109715796464256) is greater than itself. Its abundance is 69309350295552

Bases of 40406446168704

• Binary: 1001001011111111011011110111101101101010000000₂
• Hexadecimal: 0x24BFDBDEDA80
• Base-36: EBMGQS9S0

Squares and roots of 40406446168704

• 40406446168704 squared (40406446168704²) is 1632680891984374160429039616
• 40406446168704 cubed (40406446168704³) is 65970832572638244558503184436785435377664
• The square root of 40406446168704 is 6356606.4978653507
• The cube root of 40406446168704 is 34314.9643212329

Scales and comparisons

• 40,406,446,168,704 seconds is equal to 1,284,800 years, 1 day, 38 minutes, 24 seconds.
• To count from 1 to 40,406,446,168,704 would take you about three million, two hundred twelve thousand 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 40406446168704 cubic inches would be around 2859.6 feet tall.

Recreational maths with 40406446168704

• 40406446168704 backwards is 40786164460404
• The number of decimal digits it has is: 14
• The sum of 40406446168704's digits is 54
• More coming soon!