34709332799921920

Names of 34709332799921920

• Cardinal: 34709332799921920 can be written as Thirty-four quadrillion, seven hundred nine trillion, three hundred thirty-two billion, seven hundred ninety-nine million, nine hundred twenty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.470933279992192 × 10¹⁶

Factors of 34709332799921920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 5168

Divisors of 34709332799921920

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 256 265 280 320 371 424 448 530 560 640 742 848 896 1060 1120 1280 1484 1696 1792 1855 2120 2240 2809 2968 3392 3710 4240 4480 5101 5618 5936 6784 7420 8480 8960 10202 11236 11872 13568 14045 14840 16960 19663 20404 22472 23744 25505 28090 29680 33920 35707 39326 40808 44944 47488 51010 56180 59360 67840 71414 78652 81616 89888 94976 98315 102020 112360 118720 142828 148877 157304 163232 178535 179776 196630 204040 224720 237440 270353 285656 297754 314608 326464 357070 359552 393260 408080 449440 474880 540706 571312 595508 629216 652928 714140 719104 744385 786520 816160 898880 1042139 1081412 1142624 1191016 1258432 1305856 1351765 1428280 1488770 1573040 1632320 1797760 1892471 2084278 2162824 2285248 2382032 2516864 2703530 2856560 2977540 3146080 3264640 3595520 3784942 4168556 4325648 4570496 4764064 5033728 5210695 5407060 5713120 5955080 6292160 6529280 7569884 8337112 8651296 9140992 9462355 9528128 10421390 10814120 11426240 11910160 12584320 14328709 15139768 16674224 17302592 18924710 19056256 20842780 21628240 22852480 23820320 25168640 26020201 28657418 30279536 33348448 34605184 37849420 38112512 41685560 43256480 45704960 47640640 52040402 57314836 60559072 66696896 69210368 71643545 75698840 83371120 86512960 95281280 100300963 104080804 114629672 121118144 130101005 133393792 143287090 151397680 166742240 173025920 182141407 190562560 200601926 208161608 229259344 242236288 260202010 266787584 286574180 302795360 333484480 346051840 364282814 401203852 416323216 458518688 484472576 501504815 520404020 573148360 605590720 666968960 728565628 759421577 802407704 832646432 910707035 917037376 1003009630 1040808040 1146296720 1211181440 1333937920 1379070653 1457131256 1518843154 1604815408 1665292864 1821414070 1834074752 2006019260 2081616080 2292593440 2422362880 2758141306 2914262512 3037686308 3209630816 3330585728 3642828140 3668149504 3797107885 4012038520 4163232160 4585186880 5315951039 5516282612 5828525024 6075372616 6419261632 6661171456 6895353265 7285656280 7594215770 8024077040 8326464320 9170373760 9653494571 10631902078 11032565224 11657050048 12150745232 12838523264 13790706530 14571312560 15188431540 16048154080 16652928640 18340747520 19306989142 21263804156 22065130448 23314100096 24301490464 25677046528 26579755195 27581413060 29142625120 30376863080 32096308160 33305857280 38613978284 42527608312 44130260896 46628200192 48267472855 48602980928 53159510390 55162826120 58285250240 60753726160 64192616320 73090744609 77227956568 85055216624 88260521792 96534945710 97205961856 106319020780 110325652240 116570500480 121507452320 128385232640 146181489218 154455913136 170110433248 176521043584 193069891420 194411923712 212638041560 220651304480 233141000960 243014904640 292362978436 308911826272 340220866496 353042087168 365453723045 386139782840 425276083120 441302608960 486029809280 511635212263 584725956872 617823652544 680441732992 730907446090 772279565680 850552166240 882605217920 972059618560 1023270424526 1169451913744 1235647305088 1360883465984 1461814892180 1544559131360 1701104332480 1765210435840 2046540849052 2338903827488 2471294610176 2558176061315 2923629784360 3089118262720 3402208664960 3873809464277 4093081698104 4677807654976 5116352122630 5847259568720 6178236525440 6804417329920 7747618928554 8186163396208 9355615309952 10232704245260 11694519137440 12356473050880 15495237857108 16372326792416 18711230619904 19369047321385 20465408490520 23389038274880 27116666249939 30990475714216 32744653584832 38738094642770 40930816981040 46778076549760 54233332499878 61980951428432 65489307169664 77476189285540 81861633962080 93556153099520 108466664999756 123961902856864 130978614339328 135583331249695 154952378571080 163723267924160 216933329999512 247923805713728 271166662499390 309904757142160 327446535848320 433866659999024 495847611427456 542333324998780 619809514284320 654893071696640 867733319998048 991695222854912 1084666649997560 1239619028568640 1735466639996096 2169333299995120 2479238057137280 3470933279992192 4338666599990240 4958476114274560 6941866559984384 8677333199980480 17354666399960960 34709332799921920
• Sum of all divisors σ(n): 96863021417252160
• Sum of proper divisors (its aliquot sum) s(n): 62153688617330240
• 34709332799921920 is an abundant number, because the sum of its proper divisors (62153688617330240) is greater than itself. Its abundance is 27444355817408320

Bases of 34709332799921920

• Binary: 1111011010011111111010001001011111011100001111100000000₂
• Hexadecimal: 0x7B4FF44BEE1F00
• Base-36: 9HRFJD0NOCG

Squares and roots of 34709332799921920

• 34709332799921920 squared (34709332799921920²) is 1204737783415735630589958096486400
• 34709332799921920 cubed (34709332799921920³) is 41815644661217022832835615270964504345746341888000
• The square root of 34709332799921920 is 186304408.9653326481
• The cube root of 34709332799921920 is 326198.5967954417

Scales and comparisons

• 34,709,332,799,921,920 seconds is equal to 1,103,649,420 years, 1 week, 23 hours, 38 minutes, 40 seconds.
• To count from 1 to 34,709,332,799,921,920 would take you about three billion, three hundred ten million, nine hundred forty-eight thousand, two hundred sixty 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 34709332799921920 cubic inches would be around 27183.2 feet tall.

Recreational maths with 34709332799921920

• 34709332799921920 backwards is 02912999723390743
• The number of decimal digits it has is: 17
• The sum of 34709332799921920's digits is 79
• More coming soon!