34442198301888

Names of 34442198301888

• Cardinal: 34442198301888 can be written as Thirty-four trillion, four hundred forty-two billion, one hundred ninety-eight million, three hundred one thousand, eight hundred eighty-eight.

Scientific notation

• Scientific notation: 3.4442198301888 × 10¹³

Factors of 34442198301888

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 420

Divisors of 34442198301888

• Number of divisors d(n): 672
• 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 96 104 108 117 144 156 169 173 192 208 216 229 234 288 312 338 346 351 416 432 458 468 507 519 576 624 676 687 692 702 832 864 916 936 1014 1038 1248 1352 1374 1384 1404 1521 1557 1728 1832 1872 2028 2061 2076 2197 2249 2496 2704 2748 2768 2808 2977 3042 3114 3664 3744 4056 4122 4152 4394 4498 4563 4671 5408 5496 5536 5616 5954 6084 6183 6228 6591 6747 7328 7488 8112 8244 8304 8788 8931 8996 9126 9342 10816 10992 11072 11232 11908 12168 12366 12456 13182 13494 14656 16224 16488 16608 17576 17862 17992 18252 18684 19773 20241 21984 22464 23816 24336 24732 24912 26364 26793 26988 29237 32448 32976 33216 35152 35724 35984 36504 37368 38701 39546 39617 40482 43968 47632 48672 49464 49824 52441 52728 53586 53976 58474 59319 60723 65952 70304 71448 71968 73008 74736 77402 79092 79234 80379 80964 87711 95264 97344 98928 99648 104882 105456 107172 107952 116103 116948 118638 118851 121446 131904 140608 142896 143936 146016 149472 154804 157323 158184 158468 160758 161928 175422 190528 197856 209764 210912 214344 215904 232206 233896 237276 237702 242892 263133 285792 292032 298944 309608 314646 316368 316936 321516 323856 348309 350844 356553 380081 395712 419528 421824 428688 431808 464412 467792 471969 474552 475404 485784 503113 515021 526266 571584 619216 629292 632736 633872 643032 647712 681733 696618 701688 713106 760162 789399 839056 857376 928824 935584 943938 949104 950808 971568 1006226 1030042 1044927 1052532 1069659 1140243 1238432 1258584 1265472 1267744 1286064 1295424 1363466 1393236 1403376 1415907 1426212 1509339 1520324 1545063 1578798 1678112 1714752 1857648 1871168 1887876 1898208 1901616 1943136 2012452 2045199 2060084 2089854 2105064 2139318 2280486 2476864 2517168 2535488 2572128 2726932 2786472 2806752 2831814 2852424 3018678 3040648 3090126 3157596 3356224 3420729 3715296 3775752 3796416 3803232 3886272 4024904 4090398 4120168 4179708 4210128 4278636 4528017 4560972 4635189 5034336 5144256 5453864 5572944 5613504 5663628 5704848 6037356 6081296 6135597 6180252 6315192 6695273 6841458 7430592 7551504 7606464 8049808 8180796 8240336 8359416 8420256 8557272 8862529 9056034 9072293 9121944 9270378 10068672 10262187 10907728 11145888 11327256 11409696 12074712 12162592 12271194 12360504 12630384 13390546 13584051 13682916 13905567 15103008 16099616 16361592 16480672 16718832 16840512 17114544 17725058 18112068 18144586 18243888 18406791 18540756 20085819 20524374 21815456 22291776 22654512 22819392 24149424 24325184 24542388 24721008 25260768 26587587 26781092 27168102 27216879 27365832 27811134 30206016 32199232 32723184 32961344 33437664 34229088 35450116 36224136 36289172 36487776 36813582 37081512 40171638 41048748 43630912 45309024 48298848 49084776 49442016 50521536 53175174 53562184 54336204 54433758 54731664 55622268 60257457 65446368 66875328 68458176 70900232 72448272 72578344 72975552 73627164 74163024 79762761 80343276 81650637 82097496 87038549 90618048 96597696 98169552 98884032 106350348 107124368 108672408 108867516 109463328 111244536 115212877 117939809 120514914 130892736 141800464 144896544 145156688 147254328 148326048 159525522 160686552 163301274 164194992 174077098 180772371 196339104 212700696 214248736 217344816 217735032 218926656 222489072 230425754 235879618 239288283 241029828 244951911 261115647 283600928 289793088 290313376 294508656 296652096 319051044 321373104 326602548 328389984 345638631 348154196 353819427 361544742 392678208 425401392 428497472 434689632 435470064 444978144 460851508 471759236 478576566 482059656 489903822 522231294 567201856 580626752 589017312 638102088 642746208 653205096 656779968 691277262 696308392 707638854 723089484 783346941 850802784 869379264 870940128 889956288 921703016 943518472 957153132 964119312 979807644 1036915893 1044462588 1061458281 1178034624 1276204176 1285492416 1306410192 1382554524 1392616784 1415277708 1446178968 1533217517 1566693882 1701605568 1741880256 1843406032 1887036944 1914306264 1928238624 1959615288 2073831786 2088925176 2122916562 2350040823 2552408352 2612820384 2765109048 2785233568 2830555416 2892357936 3066435034 3110747679 3133387764 3184374843 3686812064 3774073888 3828612528 3856477248 3919230576 4147663572 4177850352 4245833124 4599652551 4700081646 5104816704 5225640768 5530218096 5570467136 5661110832 5784715872 6132870068 6221495358 6266775528 6368749686 7373624128 7548147776 7657225056 7838461152 8295327144 8355700704 8491666248 9199305102 9400163292 11060436192 11322221664 11569431744 12265740136 12442990716 12533551056 12737499372 13798957653 15314450112 15676922304 16590654288 16711401408 16983332496 18398610204 18800326584 19931827721 22120872384 22644443328 24531480272 24885981432 25067102112 25474998744 27597915306 33181308576 33966664992 36797220408 37600653168 39863655442 41396872959 49062960544 49771962864 50134204224 50949997488 55195830612 59795483163 66362617152 67933329984 73594440816 75201306336 79727310884 82793745918 98125921088 99543925728 101899994976 110391661224 119590966326 147188881632 150402612672 159454621768 165587491836 179386449489 199087851456 203799989952 220783322448 239181932652 294377763264 318909243536 331174983672 358772898978 441566644896 478363865304 538159348467 637818487072 662349967344 717545797956 883133289792 956727730608 1076318696934 1275636974144 1324699934688 1435091595912 1913455461216 2152637393868 2649399869376 2870183191824 3826910922432 4305274787736 5740366383648 8610549575472 11480732767296 17221099150944 34442198301888
• Sum of all divisors σ(n): 110805541761600
• Sum of proper divisors (its aliquot sum) s(n): 76363343459712
• 34442198301888 is an abundant number, because the sum of its proper divisors (76363343459712) is greater than itself. Its abundance is 41921145157824

Bases of 34442198301888

• Binary: 111110101001100110010111111101011110011000000₂
• Hexadecimal: 0x1F5332FEBCC0
• Base-36: C7IIZLIO0

Squares and roots of 34442198301888

• 34442198301888 squared (34442198301888²) is 1186265023866576630784364544
• 34442198301888 cubed (34442198301888³) is 40857575190606533424681064842857955459072
• The square root of 34442198301888 is 5868747.5922796339
• The cube root of 34442198301888 is 32535.9596618237

Scales and comparisons

• 34,442,198,301,888 seconds is equal to 1,095,155 years, 19 weeks, 1 day, 10 hours, 4 minutes, 48 seconds.
• To count from 1 to 34,442,198,301,888 would take you about two million, seven hundred thirty-seven thousand, eight hundred eighty-eight 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 34442198301888 cubic inches would be around 2711.3 feet tall.

Recreational maths with 34442198301888

• 34442198301888 backwards is 88810389124443
• The number of decimal digits it has is: 14
• The sum of 34442198301888's digits is 63
• More coming soon!