3481968321114624

Names of 3481968321114624

• Cardinal: 3481968321114624 can be written as Three quadrillion, four hundred eighty-one trillion, nine hundred sixty-eight billion, three hundred twenty-one million, one hundred fourteen thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 3.481968321114624 × 10¹⁵

Factors of 3481968321114624

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 405

Divisors of 3481968321114624

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 389 396 432 512 528 576 594 704 768 778 792 864 1056 1152 1167 1188 1408 1536 1556 1584 1728 2112 2304 2334 2376 2816 3112 3168 3456 3501 4224 4279 4608 4668 4752 5632 6224 6336 6912 7002 8448 8558 9336 9504 10503 12448 12672 12837 13824 14004 16896 17116 18672 19008 21006 24896 25344 25674 28008 34232 37344 38016 38511 42012 49792 50688 51348 56016 68464 74688 76032 77022 84024 99584 102696 112032 115533 136928 149376 151321 152064 154044 168048 199168 205392 224064 231066 273856 298752 302642 308088 336096 410784 448128 453963 462132 547712 597504 605284 616176 672192 821568 896256 907926 924264 1095424 1210568 1232352 1344384 1361889 1643136 1664531 1792512 1815852 1848528 2190848 2421136 2464704 2688768 2723778 3286272 3329062 3631704 3697056 4085667 4842272 4929408 4993593 5377536 5447556 6572544 6658124 7263408 7394112 8171334 9684544 9858816 9987186 10895112 13316248 14526816 14788224 14980779 16342668 19369088 19717632 19974372 21790224 26632496 29053632 29576448 29961558 32685336 38738176 39948744 43580448 44942337 53264992 58107264 58863869 59152896 59923116 65370672 77476352 79897488 87160896 89884674 106529984 116214528 117727738 119846232 130741344 159794976 174321792 176591607 179769348 213059968 232429056 235455476 239692464 261482688 319589952 348643584 353183214 359538696 426119936 470910952 479384928 522965376 529774821 639179904 647502559 697287168 706366428 719077392 852239872 941821904 958769856 1045930752 1059549642 1278359808 1295005118 1412732856 1438154784 1589324463 1883643808 1917539712 1942507677 2091861504 2119099284 2556719616 2590010236 2825465712 2876309568 3178648926 3767287616 3835079424 3885015354 4238198568 5180020472 5650931424 5752619136 5827523031 6357297852 7534575232 7670158848 7770030708 8476397136 10360040944 11301862848 11505238272 11655046062 12714595704 15069150464 15540061416 16952794272 17482569093 20720081888 22603725696 22898045041 23010476544 23310092124 25429191408 30138300928 31080122832 33905588544 34965138186 41440163776 45207451392 45796090082 46620184248 50858382816 62160245664 67811177088 68694135123 69930276372 82880327552 90414902784 91592180164 93240368496 101716765632 124320491328 135622354176 137388270246 139860552744 165760655104 183184360328 186480736992 203433531264 206082405369 248640982656 251878495451 271244708352 274776540492 279721105488 331521310208 366368720656 372961473984 406867062528 412164810738 497281965312 503756990902 549553080984 559442210976 618247216107 732737441312 745922947968 755635486353 813734125056 824329621476 994563930624 1007513981804 1099106161968 1118884421952 1236494432214 1465474882624 1491845895936 1511270972706 1648659242952 2015027963608 2198212323936 2237768843904 2266906459059 2472988864428 2930949765248 2983691791872 3022541945412 3297318485904 4030055927216 4396424647872 4475537687808 4533812918118 4945977728856 5861899530496 6045083890824 6594636971808 6800719377177 8060111854432 8792849295744 8951075375616 9067625836236 9891955457712 11723799060992 12090167781648 13189273943616 13601438754354 16120223708864 17585698591488 18135251672472 19783910915424 24180335563296 26378547887232 27202877508708 32240447417728 35171397182976 36270503344944 39567821830848 48360671126592 52757095774464 54405755017416 64480894835456 72541006689888 79135643661696 96721342253184 105514191548928 108811510034832 128961789670912 145082013379776 158271287323392 193442684506368 217623020069664 290164026759552 316542574646784 386885369012736 435246040139328 580328053519104 870492080278656 1160656107038208 1740984160557312 3481968321114624
• Sum of all divisors σ(n): 11272835047335840
• Sum of proper divisors (its aliquot sum) s(n): 7790866726221216
• 3481968321114624 is an abundant number, because the sum of its proper divisors (7790866726221216) is greater than itself. Its abundance is 4308898405106592

Bases of 3481968321114624

• Binary: 1100010111101101010011101100111001100011001000000000₂
• Hexadecimal: 0xC5ED4ECE63200
• Base-36: YA965WMTC0

Squares and roots of 3481968321114624

• 3481968321114624 squared (3481968321114624²) is 12124103389245793314665746661376
• 3481968321114624 cubed (3481968321114624³) is 42215743923272297631068624391622992815009562624
• The square root of 3481968321114624 is 59008205.5405400717
• The cube root of 3481968321114624 is 151568.2624134445

Scales and comparisons

• 3,481,968,321,114,624 seconds is equal to 110,715,822 years, 9 weeks, 1 day, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 3,481,968,321,114,624 would take you about three hundred thirty-two million, one hundred forty-seven thousand, four hundred sixty-six 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 3481968321114624 cubic inches would be around 12630.7 feet tall.

Recreational maths with 3481968321114624

• 3481968321114624 backwards is 4264111238691843
• The number of decimal digits it has is: 16
• The sum of 3481968321114624's digits is 63
• More coming soon!