34480371345008355

Names of 34480371345008355

• Cardinal: 34480371345008355 can be written as Thirty-four quadrillion, four hundred eighty trillion, three hundred seventy-one billion, three hundred forty-five million, eight thousand, three hundred fifty-five.

Scientific notation

• Scientific notation: 3.4480371345008355 × 10¹⁶

Factors of 34480371345008355

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 634

Divisors of 34480371345008355

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 5 9 13 15 27 39 45 65 81 117 135 169 195 243 351 405 507 585 613 729 845 1053 1215 1521 1755 1839 2187 2535 3065 3159 3645 4563 5265 5517 6561 7605 7969 9195 9477 10935 13689 15795 16551 19683 22815 23907 27585 28431 32805 39845 41067 47385 49653 59049 68445 71721 82755 85293 98415 103597 119535 123201 142155 148959 177147 205335 215163 248265 255879 295245 310791 358605 369603 375769 426465 446877 517985 616005 645489 744795 767637 885735 932373 1075815 1108809 1127307 1279395 1340631 1553955 1848015 1878845 1936467 2234385 2302911 2797119 3227445 3326427 3381921 3838185 4021893 4661865 4884997 5544045 5636535 5809401 6703155 8391357 9682335 9979281 10145763 11514555 12065679 13985595 14654991 16632135 16909605 17428203 20109465 24424985 25174071 29047005 29937843 30437289 36197037 41956785 43964973 49896405 50728815 52284609 60328395 63504961 73274955 75522213 87141015 91311867 108591111 125870355 131894919 149689215 152186445 156853827 180985185 190514883 219824865 226566639 230346397 261423045 273935601 317524805 377611065 395684757 456559335 470561481 542955555 571544649 659474595 679699917 691039191 784269135 821806803 952574415 1132833195 1151731985 1187054271 1369678005 1411684443 1714633947 1978423785 2039099751 2073117573 2352807405 2465420409 2857723245 2994503161 3398499585 3455195955 3561162813 4109034015 5143901841 5935271355 6117299253 6219352719 7058422215 7396261227 8573169735 8983509483 10195498755 10365587865 10683488439 12327102045 14972515805 15431705523 17805814065 18351897759 18658058157 22188783681 25719509205 26950528449 30586496265 31096763595 32050465317 36981306135 38928541093 44917547415 46295116569 53417442195 55974174471 66566351043 77158527615 80851585347 91759488795 93290290785 96151395951 110943918405 116785623279 134752642245 138885349707 160252326585 167922523413 194642705465 231475582845 242554756041 279870872355 288454187853 332831755215 350356869837 404257926735 416656049121 480756979755 503767570239 583928116395 694426748535 727664268123 839612617065 865362563559 1051070609511 1212773780205 1249968147363 1442270939265 1511302710717 1751784349185 2083280245605 2182992804369 2518837851195 3153211828533 3638321340615 3749904442089 4326812817795 4533908132151 5255353047555 6249840736815 6548978413107 7556513553585 9459635485599 10914964021845 11249713326267 13601724396453 15766059142665 18749522210445 19646935239321 22669540660755 28378906456797 32744892065535 40805173189359 47298177427995 56248566631335 58940805717963 68008621982265 85136719370391 98234676196605 141894532283985 176822417153889 204025865946795 255410158111173 294704028589815 425683596851955 530467251461667 766230474333519 884112085769445 1277050790555865 2298691423000557 2652336257308335 3831152371667595 6896074269001671 11493457115002785 34480371345008355
• Sum of all divisors σ(n): 67315807497556800
• Sum of proper divisors (its aliquot sum) s(n): 32835436152548445
• 34480371345008355 is a deficient number, because the sum of its proper divisors (32835436152548445) is less than itself. Its deficiency is 1644935192459910

Bases of 34480371345008355

• Binary: 1111010011111111011011100001101101111100010011011100011₂
• Hexadecimal: 0x7A7FB70DBE26E3
• Base-36: 9FI9RX60F6R

Squares and roots of 34480371345008355

• 34480371345008355 squared (34480371345008355²) is 1188896008089673276030175019806025
• 34480371345008355 cubed (34480371345008355³) is 40993575849529991843390711328475703980644104338875
• The square root of 34480371345008355 is 185688910.1293029697
• The cube root of 34480371345008355 is 325479.7532952839

Scales and comparisons

• 34,480,371,345,008,355 seconds is equal to 1,096,369,153 years, 50 weeks, 6 days, 16 hours, 59 minutes, 15 seconds.
• To count from 1 to 34,480,371,345,008,355 would take you about three billion, two hundred eighty-nine million, one hundred seven thousand, four hundred sixty-one 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 34480371345008355 cubic inches would be around 27123.3 feet tall.

Recreational maths with 34480371345008355

• 34480371345008355 backwards is 55380054317308443
• The number of decimal digits it has is: 17
• The sum of 34480371345008355's digits is 63
• More coming soon!