313974420668416

Names of 313974420668416

• Cardinal: 313974420668416 can be written as Three hundred thirteen trillion, nine hundred seventy-four billion, four hundred twenty million, six hundred sixty-eight thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 3.13974420668416 × 10¹⁴

Factors of 313974420668416

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 75

Divisors of 313974420668416

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 8 16 19 23 31 32 38 46 62 64 76 92 124 128 152 184 248 256 304 368 437 496 512 529 589 608 713 736 874 961 992 1024 1058 1178 1216 1426 1472 1748 1922 1984 2048 2116 2356 2432 2852 2944 3496 3844 3968 4096 4232 4712 4864 5704 5888 6992 7688 7936 8192 8464 9424 9728 10051 11408 11776 13547 13984 15376 15872 16384 16399 16928 18259 18848 19456 20102 22103 22816 23552 27094 27968 29791 30752 31744 32768 32798 33856 36518 37696 38912 40204 44206 45632 47104 54188 55936 59582 61504 63488 65536 65596 67712 73036 75392 77824 80408 88412 91264 94208 108376 111872 119164 123008 126976 131072 131192 135424 146072 150784 155648 160816 176824 182528 188416 216752 223744 238328 246016 253952 262144 262384 270848 292144 301568 311296 311581 321632 353648 365056 376832 419957 433504 447488 476656 492032 507904 508369 524288 524768 541696 566029 584288 603136 622592 623162 643264 685193 707296 730112 753664 839914 867008 894976 953312 984064 1015808 1016738 1048576 1049536 1083392 1132058 1168576 1206272 1245184 1246324 1286528 1370386 1414592 1460224 1507328 1679828 1734016 1789952 1906624 1968128 2031616 2033476 2099072 2166784 2264116 2337152 2412544 2490368 2492648 2573056 2740772 2829184 2920448 3014656 3359656 3468032 3579904 3813248 3936256 4063232 4066952 4198144 4333568 4528232 4674304 4825088 4980736 4985296 5146112 5481544 5658368 5840896 6029312 6719312 6936064 7159808 7626496 7872512 8126464 8133904 8396288 8667136 9056464 9348608 9650176 9659011 9961472 9970592 10292224 10963088 11316736 11681792 12058624 13018667 13438624 13872128 14319616 15252992 15745024 15759439 16252928 16267808 16792576 17334272 18112928 18697216 19300352 19318022 19922944 19941184 20584448 21926176 22633472 23363584 24117248 26037334 26877248 27744256 28639232 30505984 31490048 31518878 32505856 32535616 33585152 34668544 36225856 37394432 38600704 38636044 39882368 41168896 43852352 45266944 46727168 52074668 53754496 55488512 57278464 61011968 62980096 63037756 65071232 67170304 69337088 72451712 74788864 77201408 77272088 79764736 82337792 87704704 90533888 93454336 104149336 107508992 110977024 114556928 122023936 125960192 126075512 130142464 134340608 138674176 144903424 149577728 154402816 154544176 159529472 164675584 175409408 181067776 186908672 208298672 215017984 221954048 229113856 244047872 251920384 252151024 260284928 268681216 277348352 289806848 299155456 299429341 308805632 309088352 319058944 329351168 350818816 362135552 373817344 416597344 430035968 443908096 458227712 488095744 503840768 504302048 520569856 537362432 554696704 579613696 598310912 598858682 617611264 618176704 638117888 658702336 701637632 724271104 747634688 833194688 860071936 887816192 976191488 1007681536 1008604096 1041139712 1074724864 1159227392 1196621824 1197717364 1236353408 1276235776 1317404672 1403275264 1448542208 1666389376 1720143872 1775632384 1952382976 2017208192 2082279424 2149449728 2318454784 2393243648 2395434728 2472706816 2552471552 2634809344 2806550528 2897084416 3332778752 3440287744 3551264768 3904765952 4034416384 4164558848 4298899456 4636909568 4786487296 4790869456 4945413632 5104943104 5269618688 5613101056 5794168832 6665557504 6880575488 7102529536 7809531904 8068832768 8329117696 8597798912 9273819136 9572974592 9581738912 9890827264 10209886208 10539237376 11226202112 11588337664 13331115008 13761150976 14205059072 15619063808 16137665536 16658235392 17195597824 18547638272 19145949184 19163477824 19781654528 20419772416 22452404224 23176675328 26662230016 27522301952 31238127616 32275331072 33316470784 37095276544 38326955648 39563309056 40839544832 44904808448 53324460032 55044603904 64550662144 66632941568 74190553088 76653911296 79126618112 81679089664 89809616896 106648920064 110089207808 129101324288 133265883136 148381106176 153307822592 158253236224 163358179328 179619233792 213297840128 220178415616 258202648576 266531766272 296762212352 306615645184 316506472448 326716358656 359238467584 426595680256 440356831232 516405297152 533063532544 593524424704 613231290368 633012944896 718476935168 853191360512 1032810594304 1226462580736 1266025889792 1706382721024 2065621188608 2452925161472 2532051779584 3412765442048 4131242377216 4905850322944 5064103559168 6825530884096 8262484754432 9811700645888 10128207118336 13651061768192 16524969508864 19623401291776 39246802583552 78493605167104 156987210334208 313974420668416
• Sum of all divisors σ(n): 714019182007040
• Sum of proper divisors (its aliquot sum) s(n): 400044761338624
• 313974420668416 is an abundant number, because the sum of its proper divisors (400044761338624) is greater than itself. Its abundance is 86070340670208

Bases of 313974420668416

• Binary: 1000111011000111011011101110100000000000000000000₂
• Hexadecimal: 0x11D8EDDD00000
• Base-36: 33ALUVHIPS

Squares and roots of 313974420668416

• 313974420668416 squared (313974420668416²) is 98579936834067452284219949056
• 313974420668416 cubed (313974420668416³) is 30951578557005371630695663843296308988215296
• The square root of 313974420668416 is 17719323.3693732223
• The cube root of 313974420668416 is 67966.9981634683

Scales and comparisons

• 313,974,420,668,416 seconds is equal to 9,983,415 years, 20 weeks, 2 days, 4 hours, 20 minutes, 16 seconds.
• To count from 1 to 313,974,420,668,416 would take you about twenty-four million, nine hundred fifty-eight thousand, five hundred thirty-eight 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 313974420668416 cubic inches would be around 5663.9 feet tall.

Recreational maths with 313974420668416

• 313974420668416 backwards is 614866024479313
• 313974420668416 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 313974420668416's digits is 64
• More coming soon!