40729774424064

Names of 40729774424064

• Cardinal: 40729774424064 can be written as Forty trillion, seven hundred twenty-nine billion, seven hundred seventy-four million, four hundred twenty-four thousand and sixty-four.

Scientific notation

• Scientific notation: 4.0729774424064 × 10¹³

Factors of 40729774424064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 92

Divisors of 40729774424064

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 53 64 66 69 88 92 96 106 121 128 132 138 159 176 184 192 212 242 253 256 264 276 318 352 363 368 384 424 484 506 512 528 552 583 636 704 726 736 759 768 848 968 1012 1024 1056 1104 1166 1219 1272 1408 1452 1472 1518 1536 1696 1749 1936 2024 2048 2112 2208 2332 2438 2544 2783 2809 2816 2904 2944 3036 3072 3392 3498 3657 3872 4048 4096 4224 4416 4664 4876 5088 5566 5618 5632 5808 5888 6072 6144 6413 6784 6996 7314 7744 8096 8192 8349 8427 8448 8832 9328 9752 10176 11132 11236 11264 11616 11776 12144 12288 12826 13409 13568 13992 14628 15488 16192 16384 16698 16854 16896 17664 18656 19239 19504 20352 22264 22472 22528 23232 23552 24288 24576 25652 26818 27136 27984 29256 30899 30976 32384 32768 33396 33708 33792 35328 37312 38478 39008 40227 40704 44528 44944 45056 46464 47104 48576 49152 51304 53636 54272 55968 58512 61798 61952 64607 64768 66792 67416 67584 70656 74624 76956 78016 80454 81408 89056 89888 90112 92697 92928 94208 97152 98304 102608 107272 108544 111936 117024 123596 123904 129214 129536 133584 134832 135168 141312 147499 148877 149248 153912 156032 160908 162816 178112 179776 180224 185394 185856 188416 193821 194304 205216 214544 217088 223872 234048 247192 247808 258428 259072 267168 269664 270336 282624 294998 297754 298496 307824 312064 321816 325632 339889 356224 359552 360448 370788 371712 376832 387642 388608 410432 429088 434176 442497 446631 447744 468096 494384 495616 516856 518144 534336 539328 540672 565248 589996 595508 596992 615648 624128 643632 651264 679778 710677 712448 719104 741576 743424 753664 775284 777216 820864 858176 868352 884994 893262 895488 936192 988768 991232 1019667 1033712 1036288 1068672 1078656 1081344 1130496 1179992 1191016 1193984 1231296 1248256 1287264 1302528 1359556 1421354 1424896 1438208 1483152 1486848 1550568 1554432 1637647 1641728 1716352 1736704 1769988 1786524 1790976 1872384 1977536 1982464 2039334 2067424 2072576 2132031 2137344 2157312 2260992 2359984 2382032 2387968 2462592 2496512 2574528 2605056 2719112 2842708 2849792 2876416 2966304 2973696 3101136 3108864 3275294 3283456 3424171 3432704 3539976 3573048 3581952 3744768 3955072 3964928 4078668 4134848 4145152 4264062 4274688 4314624 4719968 4764064 4775936 4912941 4925184 4993024 5149056 5210112 5438224 5685416 5699584 5752832 5932608 5947392 6202272 6217728 6550588 6566912 6848342 6865408 7079952 7146096 7163904 7489536 7817447 7910144 8157336 8269696 8290304 8528124 8549376 8629248 9439936 9528128 9551872 9825882 9850368 9986048 10272513 10298112 10876448 11370832 11399168 11505664 11865216 11894784 12404544 12435456 13101176 13133824 13696684 13730816 14159904 14292192 14327808 14979072 15634894 15820288 16314672 16539392 17056248 17098752 17258496 18014117 18879872 19056256 19103744 19651764 19700736 19972096 20545026 20596224 21752896 22741664 22798336 23011328 23452341 23730432 24809088 24870912 26202352 26267648 27393368 27461632 28319808 28584384 28655616 29958144 31269788 31640576 32629344 33078784 34112496 34197504 34516992 36028234 37665881 37759744 38112512 39303528 39401472 39944192 41090052 41192448 43505792 45483328 45596672 46022656 46904682 47460864 49618176 52404704 52535296 54042351 54786736 54923264 56639616 57168768 57311232 59916288 62539576 63281152 65258688 66157568 68224992 68395008 69033984 72056468 75331762 75519488 76225024 78607056 78802944 82180104 82384896 87011584 90966656 91193344 92045312 93809364 94921728 99236352 104809408 105070592 108084702 109573472 109846528 112997643 113279232 114337536 119832576 125079152 126562304 130517376 132315136 136449984 136790016 138067968 144112936 150663524 151038976 152450048 157214112 157605888 164360208 164769792 174023168 181933312 187618728 189843456 198472704 209618816 210141184 216169404 219146944 219693056 225995286 226558464 228675072 250158304 253124608 261034752 264630272 272899968 273580032 276135936 288225872 301327048 302077952 304900096 314428224 315211776 328720416 329539584 348046336 363866624 375237456 379686912 396945408 414324691 419237632 432338808 438293888 439386112 451990572 453116928 457350144 500316608 506249216 522069504 529260544 545799936 576451744 602654096 604155904 609800192 628856448 630423552 657440832 659079168 696092672 727733248 750474912 759373824 793890816 828649382 838475264 864677616 876587776 903981144 906233856 914700288 1000633216 1012498432 1044139008 1058521088 1091599872 1152903488 1205308192 1208311808 1219600384 1242974073 1257712896 1314881664 1318158336 1392185344 1455466496 1500949824 1518747648 1587781632 1657298764 1676950528 1729355232 1753175552 1807962288 1812467712 1829400576 2001266432 2088278016 2117042176 2183199744 2305806976 2410616384 2416623616 2439200768 2485948146 2515425792 2629763328 2784370688 2910932992 3001899648 3037495296 3175563264 3314597528 3353901056 3458710464 3506351104 3615924576 3624935424 3658801152 4002532864 4176556032 4366399488 4611613952 4821232768 4833247232 4878401536 4971896292 5030851584 5259526656 5568741376 5821865984 6003799296 6351126528 6629195056 6707802112 6917420928 7012702208 7231849152 7249870848 7317602304 8005065728 8353112064 8732798976 9223227904 9642465536 9943792584 10061703168 10519053312 11137482752 11643731968 12007598592 13258390112 13415604224 13834841856 14025404416 14463698304 14499741696 14635204608 16010131456 16706224128 17465597952 18446455808 19284931072 19887585168 20123406336 21038106624 23287463936 24015197184 26516780224 26831208448 27669683712 28050808832 28927396608 32020262912 33412448256 34931195904 36892911616 38569862144 39775170336 40246812672 42076213248 48030394368 53033560448 53662416896 55339367424 56101617664 57854793216 64040525824 69862391808 73785823232 77139724288 79550340672 80493625344 84152426496 96060788736 106067120896 110678734848 112203235328 115709586432 128081051648 147571646464 154279448576 159100681344 160987250688 168304852992 192121577472 212134241792 221357469696 231419172864 256162103296 295143292928 308558897152 318201362688 336609705984 384243154944 424268483584 442714939392 462838345728 590286585856 617117794304 636402725376 768486309888 848536967168 885429878784 925676691456 1234235588608 1272805450752 1697073934336 1770859757568 1851353382912 2545610901504 3394147868672 3702706765824 5091221803008 6788295737344 10182443606016 13576591474688 20364887212032 40729774424064
• Sum of all divisors σ(n): 126968578531200
• Sum of proper divisors (its aliquot sum) s(n): 86238804107136
• 40729774424064 is an abundant number, because the sum of its proper divisors (86238804107136) is greater than itself. Its abundance is 45509029683072

Bases of 40729774424064

• Binary: 1001010000101100100011101111001000000000000000₂
• Hexadecimal: 0x250B23BC8000
• Base-36: EFR002WAO

Squares and roots of 40729774424064

• 40729774424064 squared (40729774424064²) is 1658914524635137942902276096
• 40729774424064 cubed (40729774424064³) is 67567214377192529848109746094593114374144
• The square root of 40729774424064 is 6381988.2814107393
• The cube root of 40729774424064 is 34406.2495473777

Scales and comparisons

• 40,729,774,424,064 seconds is equal to 1,295,080 years, 43 weeks, 5 days, 4 hours, 54 minutes, 24 seconds.
• To count from 1 to 40,729,774,424,064 would take you about three million, two hundred thirty-seven thousand, seven hundred 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 40729774424064 cubic inches would be around 2867.2 feet tall.

Recreational maths with 40729774424064

• 40729774424064 backwards is 46042447792704
• The number of decimal digits it has is: 14
• The sum of 40729774424064's digits is 60
• More coming soon!