34480131780096

Names of 34480131780096

• Cardinal: 34480131780096 can be written as Thirty-four trillion, four hundred eighty billion, one hundred thirty-one million, seven hundred eighty thousand and ninety-six.

Scientific notation

• Scientific notation: 3.4480131780096 × 10¹³

Factors of 34480131780096

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1106

Divisors of 34480131780096

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 64 68 69 72 92 96 102 128 136 138 144 153 184 192 204 207 256 272 276 288 289 306 368 384 391 408 414 512 544 552 576 578 612 736 768 782 816 828 867 1061 1088 1104 1152 1156 1173 1224 1472 1536 1564 1632 1656 1734 2122 2176 2208 2304 2312 2346 2448 2601 2944 3128 3183 3264 3312 3468 3519 4244 4352 4416 4608 4624 4692 4896 5202 5888 6256 6366 6528 6624 6647 6936 7038 8488 8704 8832 9248 9384 9549 9792 10404 11776 12512 12732 13056 13248 13294 13872 14076 16976 17664 18037 18496 18768 19098 19584 19941 20808 24403 25024 25464 26112 26496 26588 27744 28152 33952 35328 36074 36992 37536 38196 39168 39882 41616 48806 50048 50928 52992 53176 54111 55488 56304 59823 67904 72148 73209 73984 75072 76392 78336 79764 83232 97612 100096 101856 105984 106352 108222 110976 112608 119646 135808 144296 146418 147968 150144 152784 159528 162333 166464 195224 200192 203712 212704 216444 219627 221952 225216 239292 271616 288592 292836 300288 305568 306629 319056 324666 332928 390448 407424 414851 425408 432888 439254 443904 450432 478584 543232 577184 585672 600576 611136 613258 638112 649332 665856 780896 814848 829702 850816 865776 878508 900864 919887 957168 1125721 1154368 1171344 1222272 1226516 1244553 1276224 1298664 1331712 1561792 1629696 1659404 1701632 1731552 1757016 1801728 1839774 1914336 2251442 2308736 2342688 2444544 2453032 2489106 2552448 2597328 2759661 3123584 3318808 3377163 3403264 3463104 3514032 3679548 3733659 3828672 4502884 4617472 4685376 4889088 4906064 4978212 5104896 5194656 5519322 6247168 6637616 6754326 6926208 7028064 7052467 7359096 7467318 7657344 9005768 9234944 9370752 9812128 9956424 10131489 10209792 10389312 11038644 12494336 13275232 13508652 13852416 14056128 14104934 14718192 14934636 15314688 18011536 18741504 19137257 19624256 19912848 20262978 20778624 21157401 22077288 25891583 26550464 27017304 27704832 28112256 28209868 29436384 29869272 30629376 36023072 37483008 38274514 39248512 39825696 40525956 41557248 42314802 44154576 51783166 53100928 54034608 56224512 56419736 57411771 58872768 59738544 63472203 72046144 76549028 77674749 78497024 79651392 81051912 83114496 84629604 88309152 103566332 106201856 108069216 112449024 112839472 114823542 117745536 119477088 126944406 144092288 153098056 155349498 156994048 159302784 162103824 169259208 172235313 176618304 207132664 212403712 216138432 225678944 229647084 233024247 235491072 238954176 253888812 288184576 306196112 310698996 318605568 324207648 325333369 338518416 344470626 353236608 414265328 432276864 440156911 451357888 459294168 466048494 470982144 477908352 507777624 576369152 612392224 621397992 637211136 648415296 650666738 677036832 688941252 706473216 828530656 864553728 880313822 902715776 918588336 932096988 955816704 976000107 1015555248 1224784448 1242795984 1296830592 1301333476 1320470733 1354073664 1377882504 1412946432 1657061312 1729107456 1760627644 1805431552 1837176672 1864193976 1911633408 1952000214 2031110496 2449568896 2485591968 2593661184 2602666952 2640941466 2708147328 2755765008 2928000321 3314122624 3521255288 3610863104 3674353344 3728387952 3904000428 3961412199 4062220992 4899137792 4971183936 5187322368 5205333904 5281882932 5416294656 5511530016 5856000642 6628245248 7042510576 7348706688 7456775904 7482667487 7808000856 7922824398 8124441984 9798275584 9942367872 10410667808 10563765864 10832589312 11023060032 11712001284 13256490496 14085021152 14697413376 14913551808 14965334974 15616001712 15845648796 16248883968 19884735744 20821335616 21127531728 22046120064 22448002461 23424002568 28170042304 29394826752 29827103616 29930669948 31232003424 31691297592 32497767936 39769471488 41642671232 42255063456 44092240128 44896004922 46848005136 56340084608 59654207232 59861339896 62464006848 63382595184 67344007383 83285342464 84510126912 88184480256 89792009844 93696010272 112680169216 119308414464 119722679792 124928013696 126765190368 134688014766 166570684928 169020253824 179584019688 187392020544 225360338432 239445359584 249856027392 253530380736 269376029532 338040507648 359168039376 374784041088 478890719168 499712054784 507060761472 538752059064 676081015296 718336078752 749568082176 957781438336 1014121522944 1077504118128 1436672157504 1499136164352 1915562876672 2028243045888 2155008236256 2873344315008 3831125753344 4310016472512 5746688630016 8620032945024 11493377260032 17240065890048 34480131780096
• Sum of all divisors σ(n): 110410121878056
• Sum of proper divisors (its aliquot sum) s(n): 75929990097960
• 34480131780096 is an abundant number, because the sum of its proper divisors (75929990097960) is greater than itself. Its abundance is 41449858317864

Bases of 34480131780096

• Binary: 111110101110000001000000000011010111000000000₂
• Hexadecimal: 0x1F5C0801AE00
• Base-36: C7ZYC7LS0

Squares and roots of 34480131780096

• 34480131780096 squared (34480131780096²) is 1188879487572786153701769216
• 34480131780096 cubed (34480131780096³) is 40992721402162671352203324857582654324736
• The square root of 34480131780096 is 5871978.5234702621
• The cube root of 34480131780096 is 32547.8999497243

Scales and comparisons

• 34,480,131,780,096 seconds is equal to 1,096,361 years, 27 weeks, 6 days, 7 hours, 21 minutes, 36 seconds.
• To count from 1 to 34,480,131,780,096 would take you about two million, seven hundred forty thousand, nine hundred three 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 34480131780096 cubic inches would be around 2712.3 feet tall.

Recreational maths with 34480131780096

• 34480131780096 backwards is 69008713108443
• The number of decimal digits it has is: 14
• The sum of 34480131780096's digits is 54
• More coming soon!