34126908384136320

Names of 34126908384136320

• Cardinal: 34126908384136320 can be written as Thirty-four quadrillion, one hundred twenty-six trillion, nine hundred eight billion, three hundred eighty-four million, one hundred thirty-six thousand, three hundred twenty.

Scientific notation

• Scientific notation: 3.412690838413632 × 10¹⁶

Factors of 34126908384136320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 486478253

Divisors of 34126908384136320

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 64 72 76 80 90 95 96 114 120 128 144 152 160 171 180 190 192 228 240 285 288 304 320 342 360 380 384 456 480 570 576 608 640 641 684 720 760 855 912 960 1140 1152 1216 1282 1368 1440 1520 1710 1824 1920 1923 2280 2432 2564 2736 2880 3040 3205 3420 3648 3846 4560 5128 5472 5760 5769 6080 6410 6840 7296 7692 9120 9615 10256 10944 11538 12160 12179 12820 13680 15384 18240 19230 20512 21888 23076 24358 25640 27360 28845 30768 36480 36537 38460 41024 46152 48716 51280 54720 57690 60895 61536 73074 76920 82048 92304 97432 102560 109440 109611 115380 121790 123072 146148 153840 182685 184608 194864 205120 219222 230760 243580 246144 292296 307680 365370 369216 389728 410240 438444 461520 487160 548055 584592 615360 730740 738432 779456 876888 923040 974320 1096110 1169184 1230720 1461480 1558912 1753776 1846080 1948640 2192220 2338368 2922960 3507552 3692160 3897280 4384440 4676736 5845920 7015104 7794560 8768880 11691840 14030208 17537760 23383680 35075520 70151040 486477583 972955166 1459432749 1945910332 2432387915 2918865498 3891820664 4378298247 4864775830 5837730996 7297163745 7783641328 8756596494 9243074077 9729551660 11675461992 14594327490 15567282656 17513192988 18486148154 19459103320 21891491235 23350923984 27729222231 29188654980 31134565312 35026385976 36972296308 38918206640 43782982470 46215370385 46701847968 55458444462 58377309960 62269130624 70052771952 73944592616 77836413280 83187666693 87565964940 92430740770 93403695936 110916888924 116754619920 138646111155 140105543904 147889185232 155672826560 166375333386 175131929880 184861481540 186807391872 221833777848 233509239840 277292222310 280211087808 295778370464 311345653120 311832130703 332750666772 350263859760 369722963080 415938333465 443667555696 467018479680 554584444620 560422175616 591556740928 623664261406 665501333544 700527719520 739445926160 831876666930 887335111392 934036959360 935496392109 1109168889240 1183113481856 1247328522812 1331002667088 1401055439040 1478891852320 1559160653515 1663753333860 1774670222784 1870992784218 2218337778480 2494657045624 2662005334176 2802110878080 2806489176327 2957783704640 3118321307030 3327506667720 3549340445568 3741985568436 4436675556960 4677481960545 4989314091248 5324010668352 5612978352654 5915567409280 5924810483357 6236642614060 6655013335440 7483971136872 8873351113920 9354963921090 9978628182496 10648021336704 11225956705308 11849620966714 12473285228120 13310026670880 14032445881635 14967942273744 17746702227840 17774431450071 18709927842180 19957256364992 22451913410616 23699241933428 24946570456240 26620053341760 28064891763270 29624052416785 29935884547488 35548862900142 37419855684360 39914512729984 44903826821232 47398483866856 49893140912480 53240106683520 53323294350213 56129783526540 59248104833570 59871769094976 71097725800284 74839711368720 88872157250355 89807653642464 94796967733712 99786281824960 106646588700426 112259567053080 118496209667140 119743538189952 142195451600568 149679422737440 177744314500710 179615307284928 189593935467424 199572563649920 213293177400852 224519134106160 236992419334280 266616471751065 284390903201136 299358845474880 355488629001420 359230614569856 379187870934848 426586354801704 449038268212320 473984838668560 533232943502130 568781806402272 598717690949760 710977258002840 758375741869696 853172709603408 898076536424640 947969677337120 1066465887004260 1137563612804544 1421954516005680 1706345419206816 1796153072849280 1895939354674240 2132931774008520 2275127225609088 2843909032011360 3412690838413632 3791878709348480 4265863548017040 5687818064022720 6825381676827264 8531727096034080 11375636128045440 17063454192068160 34126908384136320
• Sum of all divisors σ(n): 124240342631558400
• Sum of proper divisors (its aliquot sum) s(n): 90113434247422080
• 34126908384136320 is an abundant number, because the sum of its proper divisors (90113434247422080) is greater than itself. Its abundance is 55986525863285760

Bases of 34126908384136320

• Binary: 1111001001111100011111000001011100001001100110010000000₂
• Hexadecimal: 0x793E3E0B84CC80
• Base-36: 9C0Z9A19280

Squares and roots of 34126908384136320

• 34126908384136320 squared (34126908384136320²) is 1164645875859233851757832343142400
• 34126908384136320 cubed (34126908384136320³) is 39745763105410275465168112487524363170898771968000
• The square root of 34126908384136320 is 184734697.2935412585
• The cube root of 34126908384136320 is 324363.7521123679

Scales and comparisons

• 34,126,908,384,136,320 seconds is equal to 1,085,130,125 years, 8 weeks, 1 day, 3 hours, 12 minutes.
• To count from 1 to 34,126,908,384,136,320 would take you about three billion, two hundred fifty-five million, three hundred ninety thousand, three hundred seventy-five 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 34126908384136320 cubic inches would be around 27030.3 feet tall.

Recreational maths with 34126908384136320

• 34126908384136320 backwards is 02363148380962143
• The number of decimal digits it has is: 17
• The sum of 34126908384136320's digits is 63
• More coming soon!