34238688408408064

Names of 34238688408408064

• Cardinal: 34238688408408064 can be written as Thirty-four quadrillion, two hundred thirty-eight trillion, six hundred eighty-eight billion, four hundred eight million, four hundred eight thousand and sixty-four.

Scientific notation

• Scientific notation: 3.4238688408408064 × 10¹⁶

Factors of 34238688408408064

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 7855

Divisors of 34238688408408064

• Number of divisors d(n): 351
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 512 742 784 848 896 1024 1484 1568 1696 1792 2048 2597 2809 2968 3136 3392 3584 4096 5194 5618 5936 6272 6784 7168 7793 10388 11236 11872 12544 13568 14336 15586 19663 20776 22472 23744 25088 27136 28672 31172 39326 41552 44944 47488 50176 54272 54551 62344 78652 83104 89888 94976 100352 108544 109102 124688 137641 157304 166208 179776 189952 200704 217088 218204 249376 275282 314608 332416 359552 379904 381857 413029 436408 498752 550564 629216 664832 719104 759808 763714 826058 872816 997504 1101128 1258432 1329664 1438208 1519616 1527428 1652116 1745632 1995008 2202256 2516864 2659328 2876416 2891203 3054856 3304232 3491264 3990016 4404512 5033728 5318656 5752832 5782406 6109712 6608464 6982528 7980032 8809024 10067456 10637312 11505664 11564812 12219424 13216928 13965056 15960064 17618048 20134912 20238421 21890537 23129624 24438848 26433856 27930112 31920128 35236096 40269824 40476842 43781074 46259248 48877696 52867712 55860224 60730849 70472192 80539648 80953684 87562148 92518496 97755392 105735424 111720448 121461698 140944384 153233759 161907368 175124296 185036992 195510784 211470848 223440896 242923396 281888768 306467518 323814736 350248592 370073984 391021568 422941696 425115943 485846792 563777536 612935036 647629472 700497184 740147968 782043136 845883392 850231886 971693584 1072636313 1225870072 1295258944 1400994368 1480295936 1564086272 1691766784 1700463772 1943387168 2145272626 2451740144 2590517888 2801988736 2960591872 2975811601 3218734997 3400927544 3886774336 4290545252 4903480288 5181035776 5603977472 5921183744 5951623202 6437469994 6801855088 7773548672 8581090504 9806960576 10362071552 11207954944 11842367488 11903246404 12874939988 13603710176 15547097344 17162181008 19613921152 20724143104 22415909888 22531144979 23806492808 25749879976 27207420352 31094194688 34324362016 39227842304 41448286208 44831819776 45062289958 47612985616 51499759952 54414840704 62188389376 68648724032 78455684608 82896572416 89663639552 90124579916 95225971232 102999519904 108829681408 124376778752 137297448064 156911369216 157718014853 170592954841 180249159832 190451942464 205999039808 217659362816 248753557504 274594896128 313822738432 315436029706 341185909682 360498319664 380903884928 411998079616 435318725632 549189792256 627645476864 630872059412 682371819364 720996639328 761807769856 823996159232 870637451264 1098379584512 1194150683887 1261744118824 1364743638728 1441993278656 1523615539712 1647992318464 1741274902528 2196759169024 2388301367774 2523488237648 2729487277456 2883986557312 3047231079424 3295984636928 4393518338048 4776602735548 5046976475296 5458974554912 5767973114624 6094462158848 6591969273856 8359054787209 9553205471096 10093952950592 10917949109824 11535946229248 12188924317696 13183938547712 16718109574418 19106410942192 20187905901184 21835898219648 23071892458496 33436219148836 38212821884384 40375811802368 43671796439296 46143784916992 66872438297672 76425643768768 80751623604736 87343592878592 92287569833984 133744876595344 152851287537536 161503247209472 174687185757184 267489753190688 305702575075072 323006494418944 349374371514368 534979506381376 611405150150144 646012988837888 698748743028736 1069959012762752 1222810300300288 2139918025525504 2445620600600576 4279836051051008 4891241201201152 8559672102102016 17119344204204032 34238688408408064
• Sum of all divisors σ(n): 81189191097458283
• Sum of proper divisors (its aliquot sum) s(n): 46950502689050219
• 34238688408408064 is an abundant number, because the sum of its proper divisors (46950502689050219) is greater than itself. Its abundance is 12711814280642155

Bases of 34238688408408064

• Binary: 1111001101000111110011111011100001010001001000000000000₂
• Hexadecimal: 0x79A3E7DC289000
• Base-36: 9D4LOB9MMF4

Squares and roots of 34238688408408064

• 34238688408408064 squared (34238688408408064²) is 1172287783928056726757210740228096
• 34238688408408064 cubed (34238688408408064³) is 40137596158895932998649353342008264234611605766144
• 34238688408408064 is a perfect square number. Its square root is 185036992
• The cube root of 34238688408408064 is 324717.5088749393

Scales and comparisons

• 34,238,688,408,408,064 seconds is equal to 1,088,684,384 years, 8 weeks, 6 days, 1 hour, 21 minutes, 4 seconds.
• To count from 1 to 34,238,688,408,408,064 would take you about three billion, two hundred sixty-six million, fifty-three thousand, one hundred fifty-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 34238688408408064 cubic inches would be around 27059.8 feet tall.

Recreational maths with 34238688408408064

• 34238688408408064 backwards is 46080480488683243
• The number of decimal digits it has is: 17
• The sum of 34238688408408064's digits is 76
• More coming soon!