12148398882816

Names of 12148398882816

• Cardinal: 12148398882816 can be written as Twelve trillion, one hundred forty-eight billion, three hundred ninety-eight million, eight hundred eighty-two thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.2148398882816 × 10¹³

Factors of 12148398882816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 82

Divisors of 12148398882816

• Number of divisors d(n): 600
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 41 42 48 56 58 64 82 84 87 96 112 116 123 128 164 168 174 192 203 224 232 246 256 287 328 336 348 384 406 448 464 492 512 574 609 656 672 696 768 812 841 861 896 928 984 1024 1148 1189 1218 1312 1344 1392 1536 1624 1682 1722 1792 1856 1968 2048 2296 2378 2436 2523 2624 2688 2784 3072 3248 3364 3444 3567 3584 3712 3936 4096 4592 4756 4872 5046 5248 5376 5568 5887 6144 6496 6728 6888 7134 7168 7424 7872 8192 8323 9184 9512 9744 10092 10496 10752 11136 11774 12288 12992 13456 13776 14268 14336 14848 15744 16384 16646 17661 18368 19024 19488 20184 20992 21504 22272 23548 24576 24969 25984 26912 27552 28536 28672 29696 31488 32768 33292 34481 35322 36736 38048 38976 40368 41984 43008 44544 47096 49152 49938 51968 53824 55104 57072 57344 59392 62976 65536 66584 68962 70644 73472 76096 77952 80736 83968 86016 89088 94192 98304 99876 103443 103936 107648 110208 114144 114688 118784 125952 131072 133168 137924 141288 146944 152192 155904 161472 167936 172032 178176 188384 196608 199752 206886 207872 215296 220416 228288 229376 237568 241367 251904 262144 266336 275848 282576 293888 304384 311808 322944 335872 344064 356352 376768 393216 399504 413772 415744 430592 440832 456576 458752 475136 482734 503808 524288 532672 551696 565152 587776 608768 623616 645888 671744 688128 712704 724101 753536 786432 799008 827544 831488 861184 881664 913152 917504 950272 965468 1007616 1048576 1065344 1103392 1130304 1175552 1217536 1247232 1291776 1343488 1376256 1425408 1448202 1507072 1572864 1598016 1655088 1662976 1722368 1763328 1826304 1835008 1900544 1930936 2015232 2097152 2130688 2206784 2260608 2351104 2435072 2494464 2583552 2686976 2752512 2850816 2896404 3014144 3145728 3196032 3310176 3325952 3444736 3526656 3652608 3670016 3801088 3861872 4030464 4194304 4261376 4413568 4521216 4702208 4870144 4988928 5167104 5373952 5505024 5701632 5792808 6028288 6291456 6392064 6620352 6651904 6889472 7053312 7305216 7340032 7602176 7723744 8060928 8388608 8522752 8827136 9042432 9404416 9740288 9977856 10334208 10747904 11010048 11403264 11585616 12056576 12582912 12784128 13240704 13303808 13778944 14106624 14610432 14680064 15204352 15447488 16121856 16777216 17045504 17654272 18084864 18808832 19480576 19955712 20668416 21495808 22020096 22806528 23171232 24113152 25165824 25568256 26481408 26607616 27557888 28213248 29220864 29360128 30408704 30894976 32243712 34091008 35308544 36169728 37617664 38961152 39911424 41336832 42991616 44040192 45613056 46342464 48226304 50331648 51136512 52962816 53215232 55115776 56426496 58441728 58720256 60817408 61789952 64487424 68182016 70617088 72339456 75235328 77922304 79822848 82673664 85983232 88080384 91226112 92684928 96452608 102273024 105925632 106430464 110231552 112852992 116883456 117440512 121634816 123579904 128974848 136364032 141234176 144678912 150470656 155844608 159645696 165347328 171966464 176160768 182452224 185369856 192905216 204546048 211851264 212860928 220463104 225705984 233766912 243269632 247159808 257949696 272728064 282468352 289357824 300941312 311689216 319291392 330694656 343932928 352321536 364904448 370739712 385810432 409092096 423702528 425721856 440926208 451411968 467533824 486539264 494319616 515899392 545456128 564936704 578715648 601882624 623378432 638582784 661389312 687865856 729808896 741479424 771620864 818184192 847405056 851443712 881852416 902823936 935067648 988639232 1031798784 1090912256 1129873408 1157431296 1203765248 1246756864 1277165568 1322778624 1459617792 1482958848 1543241728 1636368384 1694810112 1702887424 1763704832 1805647872 1870135296 1977278464 2063597568 2181824512 2259746816 2314862592 2407530496 2493513728 2554331136 2645557248 2965917696 3086483456 3272736768 3389620224 3405774848 3527409664 3611295744 3740270592 3954556928 4363649024 4519493632 4629725184 4815060992 4987027456 5108662272 5291114496 5931835392 6172966912 6545473536 6779240448 7054819328 7222591488 7480541184 7909113856 8727298048 9038987264 9259450368 9974054912 10217324544 10582228992 11863670784 12345933824 13090947072 13558480896 14109638656 14445182976 14961082368 15818227712 17454596096 18077974528 18518900736 19948109824 21164457984 23727341568 24691867648 26181894144 27116961792 29922164736 31636455424 34909192192 36155949056 37037801472 42328915968 47454683136 49383735296 52363788288 54233923584 59844329472 63272910848 69818384384 72311898112 74075602944 94909366272 98767470592 104727576576 108467847168 126545821696 139636768768 144623796224 148151205888 189818732544 209455153152 216935694336 253091643392 289247592448 296302411776 379637465088 418910306304 433871388672 506183286784 578495184896 759274930176 867742777344 1012366573568 1518549860352 1735485554688 2024733147136 3037099720704 4049466294272 6074199441408 12148398882816
• Sum of all divisors σ(n): 39279622234944
• Sum of proper divisors (its aliquot sum) s(n): 27131223352128
• 12148398882816 is an abundant number, because the sum of its proper divisors (27131223352128) is greater than itself. Its abundance is 14982824469312

Bases of 12148398882816

• Binary: 10110000110010000101000000000000000000000000₂
• Hexadecimal: 0xB0C85000000
• Base-36: 4B0WB162O

Squares and roots of 12148398882816

• 12148398882816 squared (12148398882816²) is 147583595416005036900089856
• 12148398882816 cubed (12148398882816³) is 1792904385673764129042880462440414314496
• The square root of 12148398882816 is 3485455.3336423639
• The cube root of 12148398882816 is 22988.2730910659

Scales and comparisons

• 12,148,398,882,816 seconds is equal to 386,281 years, 26 weeks, 2 days, 13 hours, 13 minutes, 36 seconds.
• To count from 1 to 12,148,398,882,816 would take you about nine hundred sixty-five thousand, seven 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 12148398882816 cubic inches would be around 1915.7 feet tall.

Recreational maths with 12148398882816

• 12148398882816 backwards is 61828889384121
• The number of decimal digits it has is: 14
• The sum of 12148398882816's digits is 69
• More coming soon!