3456305646976

Names of 3456305646976

• Cardinal: 3456305646976 can be written as Three trillion, four hundred fifty-six billion, three hundred five million, six hundred forty-six thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 3.456305646976 × 10¹²

Factors of 3456305646976

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3133

Divisors of 3456305646976

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 128 169 182 203 208 224 232 281 338 364 377 406 416 448 464 562 676 728 754 812 832 896 928 1124 1183 1352 1456 1508 1624 1664 1856 1967 2248 2366 2639 2704 2801 2912 3016 3248 3653 3712 3934 4496 4732 4901 5278 5408 5602 5824 6032 6496 7306 7868 8149 8992 9464 9802 10556 10816 11204 11648 12064 12992 14612 15736 16298 17984 18928 19604 19607 21112 21632 22408 24128 25571 25984 29224 31472 32596 34307 35968 36413 37856 39208 39214 42224 44816 47489 48256 51142 57043 58448 62944 65192 68614 72826 75712 78416 78428 81229 84448 89632 94978 102284 105937 114086 116896 125888 130384 137228 145652 151424 156832 156856 162458 168896 179264 189956 204568 211874 228172 233792 251776 254891 260768 274456 291304 313664 313712 324916 332423 337792 358528 379912 409136 423748 456344 467584 473369 509782 521536 548912 568603 582608 627328 627424 649832 664846 741559 759824 787081 818272 847496 912688 946738 1019564 1043072 1055977 1097824 1137206 1165216 1254848 1299664 1329692 1377181 1483118 1519648 1574162 1636544 1694992 1825376 1893476 2039128 2111954 2195648 2274412 2330432 2509696 2599328 2659384 2754362 2966236 3039296 3148324 3273088 3313583 3389984 3650752 3786952 4078256 4223908 4391296 4548824 4660864 5198656 5318768 5508724 5509567 5932472 6078592 6296648 6627166 6779968 7301504 7391839 7573904 8156512 8447816 9097648 9640267 10232053 10397312 10637536 11017448 11019134 11864944 12593296 13254332 13559936 13727701 14783678 15147808 16313024 16895632 18195296 19280534 20464106 21275072 22034896 22038268 22825349 23729888 25186592 26508664 27455402 29567356 30295616 32626048 33791264 36390592 38561068 40928212 42550144 44069792 44076536 45650698 47459776 50373184 53017328 54910804 59134712 60591232 67582528 71624371 72781184 77122136 81856424 88139584 88153072 91301396 94919552 96093907 100746368 106034656 109821608 118269424 133016689 135165056 143248742 154244272 159777443 163712848 176279168 176306144 182602792 192187814 212069312 219643216 236538848 266033378 286497484 296729537 308488544 319554886 327425696 352612288 365205584 384375628 424138624 439286432 473077696 532066756 572994968 593459074 616977088 639109772 654851392 705224576 730411168 768751256 878572864 931116823 946155392 1064133512 1145989936 1186918148 1233954176 1278219544 1309702784 1460822336 1537502512 1757145728 1862233646 2077106759 2128267024 2291979872 2373836296 2556439088 2921644672 3075005024 3724467292 3857483981 4154213518 4256534048 4583959744 4747672592 5112878176 6150010048 7448934584 7714967962 8308427036 8513068096 9167919488 9495345184 10225756352 12300020096 14897869168 15429935924 16616854072 17026136192 18990690368 20451512704 27002387867 29795738336 30859871848 33233708144 37981380736 54004775734 59591476672 61719743696 66467416288 108009551468 119182953344 123439487392 132934832576 216019102936 246878974784 265869665152 432038205872 493757949568 864076411744 1728152823488 3456305646976
• Sum of all divisors σ(n): 8849520734400
• Sum of proper divisors (its aliquot sum) s(n): 5393215087424
• 3456305646976 is an abundant number, because the sum of its proper divisors (5393215087424) is greater than itself. Its abundance is 1936909440448

Bases of 3456305646976

• Binary: 110010010010111011110111101100110110000000₂
• Hexadecimal: 0x324BBDECD80
• Base-36: 183SZ55DS

Squares and roots of 3456305646976

• 3456305646976 squared (3456305646976²) is 11946048725318185937944576
• 3456305646976 cubed (3456305646976³) is 41289195668367692759706193139310002176
• The square root of 3456305646976 is 1859114.2103098453
• The cube root of 3456305646976 is 15119.4982928439

Scales and comparisons

• 3,456,305,646,976 seconds is equal to 109,899 years, 43 weeks, 13 hours, 56 minutes, 16 seconds.
• To count from 1 to 3,456,305,646,976 would take you about two hundred seventy-four thousand, seven hundred forty-nine 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 3456305646976 cubic inches would be around 1260 feet tall.

Recreational maths with 3456305646976

• 3456305646976 backwards is 6796465036543
• 3456305646976 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3456305646976's digits is 64
• More coming soon!