34342001975213504

Names of 34342001975213504

• Cardinal: 34342001975213504 can be written as Thirty-four quadrillion, three hundred forty-two trillion, one billion, nine hundred seventy-five million, two hundred thirteen thousand, five hundred four.

Scientific notation

• Scientific notation: 3.4342001975213504 × 10¹⁶

Factors of 34342001975213504

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 293570

Divisors of 34342001975213504

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 32 44 52 64 88 89 104 143 176 178 208 211 286 352 356 416 422 572 683 704 712 832 844 979 1144 1157 1366 1424 1688 1958 2288 2314 2321 2732 2743 2848 3376 3916 4576 4628 4642 5464 5486 5696 6752 7513 7832 8879 9152 9256 9284 10928 10972 12727 13504 15026 15664 17758 18512 18568 18779 21856 21944 25454 30052 30173 31328 35516 37024 37136 37558 43712 43888 50908 60104 60346 60787 62656 71032 74048 74272 75116 87776 97669 101816 120208 120692 121574 142064 144113 148544 150232 175552 195338 203632 206569 240416 241384 243148 244127 284128 288226 292561 300464 390676 407264 413138 480832 482768 486296 488254 568256 576452 585122 600928 668657 781352 790231 814528 826276 965536 972592 976508 1152904 1170244 1201856 1337314 1562704 1580462 1585243 1652552 1873469 1931072 1945184 1953016 2305808 2340488 2674628 2685397 3125408 3160924 3170486 3218171 3305104 3746938 3803293 3890368 3906032 4611616 4680976 5349256 5370794 6250816 6321848 6340972 6436342 6610208 7493876 7606586 7812064 8692541 9223232 9361952 10698512 10741588 12643696 12681944 12826057 12872684 13220416 14987752 15213172 15624128 17385082 18723904 20608159 21397024 21483176 25287392 25363888 25652114 25745368 26037929 29975504 30426344 34770164 41216318 41836223 42794048 42966352 50574784 50727776 51304228 51490736 52075858 59951008 60852688 61730371 69540328 82432636 83672446 85932704 101455552 102608456 102981472 104151716 119902016 121705376 123460742 139080656 141086627 164865272 166738741 167344892 171865408 199819163 205216912 205962944 208303432 243410752 246921484 278161312 282173254 286417219 329730544 333477482 334689784 338493077 399638326 410433824 416606864 493842968 556322624 564346508 572834438 659461088 666954964 669379568 676986154 679034081 799276652 802494823 820867648 833213728 987685936 1128693016 1145668876 1318922176 1333909928 1338759136 1353972308 1358068162 1598553304 1604989646 1666427456 1834126151 1975371872 2198010793 2257386032 2291337752 2597649119 2667819856 2677518272 2707944616 2716136324 3197106608 3209979292 3668252302 3723423847 3950743744 4396021586 4514772064 4582675504 5195298238 5335639712 5415889232 5432272648 5494003019 6394213216 6419958584 7336504604 7446847694 8792043172 8827443053 9029544128 9165351008 10390596476 10671279424 10831778464 10864545296 10988006038 12788426432 12839917168 14673009208 14893695388 17584086344 17654886106 17783905507 18330702016 20781192952 21663556928 21729090592 21976012076 25679834336 28574140309 29346018416 29787390776 35168172688 35309772212 35567811014 41562385904 42161843393 43458181184 43952024152 51359668672 57148280618 58692036832 59574781552 60434033209 70336345376 70619544424 71135622028 71422039247 83124771808 84323686786 87904048304 114296561236 117384073664 119149563104 120868066418 140672690752 141239088848 142271244056 142844078494 166249543616 168647373572 175808096608 195622960577 228593122472 231190771591 238299126208 241736132836 282478177696 284542488112 285688156988 337294747144 351616193216 391245921154 457186244944 462381543182 463780277323 483472265672 548103964109 564956355392 569084976224 571376313976 674589494288 782491842308 785642431717 914372489888 924763086364 927560554646 966944531344 1096207928218 1138169952448 1142752627952 1349178988576 1564983684616 1571284863434 1828744979776 1849526172728 1855121109292 1933889062688 2192415856436 2285505255904 2543098487501 2698357977152 3129967369232 3142569726868 3699052345456 3710242218584 3752404061977 3867778125376 4384831712872 4571010511808 5086196975002 6029143605199 6259934738464 6285139453736 7398104690912 7420484437168 7504808123954 8769663425744 10172393950004 12058287210398 12519869476928 12570278907472 14796209381824 14840968874336 15009616247908 17539326851488 20344787900008 24116574420796 25140557814944 29681937748672 30019232495816 35078653702976 40689575800016 41276444681747 48233148841592 48781252805701 50281115629888 60038464991632 81379151600032 82552889363494 96466297683184 97562505611402 120076929983264 162758303200064 165105778726988 192932595366368 195125011222804 240153859966528 330211557453976 385865190732736 390250022445608 536593780862711 660423114907952 780500044891216 1073187561725422 1320846229815904 1561000089782432 2146375123450844 2641692459631808 3122000179564864 4292750246901688 8585500493803376 17171000987606752 34342001975213504
• Sum of all divisors σ(n): 81463936271639040
• Sum of proper divisors (its aliquot sum) s(n): 47121934296425536
• 34342001975213504 is an abundant number, because the sum of its proper divisors (47121934296425536) is greater than itself. Its abundance is 12779932321212032

Bases of 34342001975213504

• Binary: 1111010000000011101111001101100100110111011110111000000₂
• Hexadecimal: 0x7A01DE6C9BBDC0
• Base-36: 9E581WRTRY8

Squares and roots of 34342001975213504

• 34342001975213504 squared (34342001975213504²) is 1179373099665568210204386383958016
• 34342001975213504 cubed (34342001975213504³) is 40502033318228616188607249826700771099602172248064
• The square root of 34342001975213504 is 185315951.7559497737
• The cube root of 34342001975213504 is 325043.7873159251

Scales and comparisons

• 34,342,001,975,213,504 seconds is equal to 1,091,969,436 years, 1 week, 2 days, 2 hours, 51 minutes, 44 seconds.
• To count from 1 to 34,342,001,975,213,504 would take you about three billion, two hundred seventy-five million, nine hundred eight thousand, three hundred 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 34342001975213504 cubic inches would be around 27087 feet tall.

Recreational maths with 34342001975213504

• 34342001975213504 backwards is 40531257910024343
• The number of decimal digits it has is: 17
• The sum of 34342001975213504's digits is 53
• More coming soon!