42105202016256

Names of 42105202016256

• Cardinal: 42105202016256 can be written as Forty-two trillion, one hundred five billion, two hundred two million, sixteen thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 4.2105202016256 × 10¹³

Factors of 42105202016256

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 2745

Divisors of 42105202016256

• Number of divisors d(n): 456
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 512 564 576 752 768 846 864 1024 1128 1152 1269 1504 1536 1692 1728 2048 2209 2256 2304 2538 2693 3008 3072 3384 3456 4096 4418 4512 4608 5076 5386 6016 6144 6627 6768 6912 8079 8192 8836 9024 9216 10152 10772 12032 12288 13254 13536 13824 16158 16384 17672 18048 18432 19881 20304 21544 24064 24237 24576 26508 27072 27648 32316 32768 35344 36096 36864 39762 40608 43088 48128 48474 49152 53016 54144 55296 59643 64632 65536 70688 72192 72711 73728 79524 81216 86176 96256 96948 98304 106032 108288 110592 119286 126571 129264 131072 141376 144384 145422 147456 159048 162432 172352 192512 193896 196608 212064 216576 221184 238572 253142 258528 262144 282752 288768 290844 294912 318096 324864 344704 379713 385024 387792 393216 424128 433152 442368 477144 506284 517056 565504 577536 581688 589824 636192 649728 689408 759426 770048 775584 786432 848256 866304 884736 954288 1012568 1034112 1131008 1139139 1155072 1163376 1179648 1272384 1299456 1378816 1518852 1540096 1551168 1696512 1732608 1769472 1908576 2025136 2068224 2262016 2278278 2310144 2326752 2359296 2544768 2598912 2757632 3037704 3080192 3102336 3393024 3417417 3465216 3538944 3817152 4050272 4136448 4524032 4556556 4620288 4653504 5089536 5197824 5515264 5948837 6075408 6160384 6204672 6786048 6834834 6930432 7077888 7634304 8100544 8272896 9048064 9113112 9240576 9307008 10179072 10395648 11030528 11897674 12150816 12320768 12409344 13572096 13669668 13860864 15268608 16201088 16545792 17846511 18096128 18226224 18481152 18614016 20358144 20791296 22061056 23795348 24301632 24818688 27144192 27339336 27721728 30537216 32402176 33091584 35693022 36192256 36452448 36962304 37228032 40716288 41582592 44122112 47590696 48603264 49637376 53539533 54288384 54678672 55443456 61074432 64804352 66183168 71386044 72384512 72904896 74456064 81432576 83165184 88244224 95181392 97206528 99274752 107079066 108576768 109357344 110886912 122148864 129608704 132366336 142772088 144769024 145809792 148912128 160618599 162865152 166330368 176488448 190362784 194413056 198549504 214158132 217153536 218714688 244297728 259217408 264732672 285544176 289538048 291619584 297824256 321237198 325730304 332660736 352976896 380725568 388826112 397099008 428316264 434307072 437429376 488595456 518434816 529465344 571088352 579076096 583239168 595648512 642474396 651460608 705953792 761451136 777652224 794198016 856632528 868614144 874858752 977190912 1036869632 1058930688 1142176704 1166478336 1191297024 1284948792 1302921216 1522902272 1555304448 1588396032 1713265056 1737228288 1749717504 1954381824 2073739264 2117861376 2284353408 2332956672 2382594048 2569897584 2605842432 3045804544 3110608896 3176792064 3426530112 3499435008 3908763648 4147478528 4568706816 4665913344 4765188096 5139795168 5211684864 6091609088 6221217792 6353584128 6853060224 6998870016 7817527296 8294957056 9137413632 9331826688 9530376192 10279590336 12183218176 12442435584 13706120448 13997740032 15635054592 16589914112 18274827264 18663653376 19060752384 20559180672 24366436352 24884871168 27412240896 27995480064 33179828224 36549654528 37327306752 41118361344 48732872704 49769742336 54824481792 55990960128 73099309056 74654613504 82236722688 97465745408 99539484672 109648963584 111981920256 146198618112 149309227008 164473445376 194931490816 219297927168 223963840512 292397236224 298618454016 328946890752 389862981632 438595854336 447927681024 584794472448 657893781504 779725963264 877191708672 895855362048 1169588944896 1315787563008 1559451926528 1754383417344 2339177889792 2631575126016 3508766834688 4678355779584 5263150252032 7017533669376 10526300504064 14035067338752 21052601008128 42105202016256
• Sum of all divisors σ(n): 127514106189840
• Sum of proper divisors (its aliquot sum) s(n): 85408904173584
• 42105202016256 is an abundant number, because the sum of its proper divisors (85408904173584) is greater than itself. Its abundance is 43303702157328

Bases of 42105202016256

• Binary: 1001100100101101100001100111000000000000000000₂
• Hexadecimal: 0x264B619C0000
• Base-36: EXAV25MO0

Squares and roots of 42105202016256

• 42105202016256 squared (42105202016256²) is 1772848036829728327688257536
• 42105202016256 cubed (42105202016256³) is 74646124734838568529140340276202586505216
• The square root of 42105202016256 is 6488852.1339491163
• The cube root of 42105202016256 is 34789.2648704483

Scales and comparisons

• 42,105,202,016,256 seconds is equal to 1,338,815 years, 9 weeks, 4 days, 57 minutes, 36 seconds.
• To count from 1 to 42,105,202,016,256 would take you about three million, three hundred forty-seven thousand and thirty-seven 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 42105202016256 cubic inches would be around 2899.1 feet tall.

Recreational maths with 42105202016256

• 42105202016256 backwards is 65261020250124
• 42105202016256 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42105202016256's digits is 36
• More coming soon!