12977716224

Names of 12977716224

• Cardinal: 12977716224 can be written as Twelve billion, nine hundred seventy-seven million, seven hundred sixteen thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.2977716224 × 10¹⁰

Factors of 12977716224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 122

Divisors of 12977716224

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 19 22 24 29 32 33 34 38 41 44 48 51 57 58 64 66 68 76 82 87 88 96 102 114 116 123 128 132 136 152 164 174 176 187 192 204 209 228 232 246 256 264 272 304 319 323 328 348 352 374 384 408 418 451 456 464 492 493 512 528 544 551 561 608 627 638 646 656 696 697 704 748 768 779 816 836 902 912 928 957 969 984 986 1024 1056 1088 1102 1122 1189 1216 1254 1276 1292 1312 1353 1392 1394 1408 1479 1496 1536 1558 1632 1653 1672 1804 1824 1856 1914 1938 1968 1972 2091 2112 2176 2204 2244 2337 2378 2432 2508 2552 2584 2624 2706 2784 2788 2816 2958 2992 3072 3116 3264 3306 3344 3553 3567 3608 3648 3712 3828 3876 3936 3944 4182 4224 4352 4408 4488 4674 4756 4864 5016 5104 5168 5248 5412 5423 5568 5576 5632 5916 5984 6061 6232 6528 6612 6688 7106 7134 7216 7296 7424 7656 7667 7752 7872 7888 8364 8448 8569 8704 8816 8976 9348 9367 9512 9728 10032 10208 10336 10496 10659 10824 10846 11136 11152 11264 11832 11968 12122 12464 13056 13079 13224 13243 13376 14212 14268 14432 14592 14848 15312 15334 15504 15744 15776 16269 16728 16896 17138 17408 17632 17952 18183 18696 18734 19024 19456 20064 20213 20416 20672 20992 21318 21648 21692 22272 22304 22591 23001 23664 23936 24244 24928 25707 26112 26158 26448 26486 26752 28101 28424 28536 28864 29184 29696 30624 30668 31008 31488 31552 32538 33456 33792 34276 35264 35904 36366 37392 37468 38048 39237 39729 40128 40426 40832 41344 41984 42636 43296 43384 44544 44608 45182 46002 47328 47872 48488 49856 51414 52224 52316 52896 52972 53504 56202 56848 57072 57728 58368 60639 61248 61336 62016 62976 63104 65076 66912 67773 68552 70528 71808 72732 74784 74936 76096 78474 79458 80256 80852 81664 82688 85272 86592 86768 89088 89216 90364 92004 94656 95744 96976 99712 102828 103037 104632 105792 105944 107008 112404 113696 114144 115456 121278 122496 122672 124032 125952 126208 130152 133824 135546 137104 141056 143616 145464 145673 149568 149872 152192 156948 158916 160512 161704 163328 165376 170544 173184 173536 178432 180728 184008 189312 191488 193952 199424 205656 206074 209264 211584 211888 214016 222343 224808 227392 228288 230912 242556 244992 245344 248064 248501 252416 260304 267648 271092 274208 282112 287232 290928 291346 299136 299744 304384 309111 313896 317832 321024 323408 326656 330752 341088 346368 347072 356864 361456 368016 378624 384047 387904 398848 411312 412148 418528 423168 423776 437019 444686 449616 454784 456576 461824 485112 489984 490688 496128 497002 504832 520608 535296 542184 548416 564224 574464 581856 582692 598272 599488 608768 618222 627792 635664 642048 646816 667029 682176 692736 694144 713728 722912 736032 745503 757248 768094 775808 797696 822624 824296 837056 846336 847552 874038 889372 899232 909568 913152 970224 979968 981376 992256 994004 1041216 1070592 1084368 1096832 1152141 1163712 1165384 1196544 1198976 1217536 1236444 1255584 1271328 1293632 1334058 1364352 1385472 1388288 1445824 1472064 1491006 1514496 1536188 1551616 1645248 1648592 1674112 1692672 1695104 1748076 1778744 1798464 1819136 1826304 1940448 1962752 1988008 2082432 2141184 2168736 2193664 2304282 2327424 2330768 2393088 2397952 2472888 2511168 2542656 2587264 2668116 2728704 2776576 2891648 2944128 2982012 3072376 3103232 3290496 3297184 3348224 3390208 3496152 3557488 3596928 3638272 3652608 3880896 3925504 3976016 4164864 4224517 4337472 4387328 4608564 4654848 4661536 4795904 4945776 5022336 5085312 5174528 5336232 5457408 5553152 5783296 5888256 5964024 6144752 6206464 6580992 6594368 6696448 6780416 6992304 7114976 7193856 7761792 7851008 7952032 8329728 8449034 8674944 8774656 9217128 9309696 9323072 9591808 9891552 10044672 10170624 10349056 10672464 10914816 11566592 11776512 11928048 12289504 12673551 13161984 13188736 13392896 13560832 13984608 14229952 14387712 15523584 15904064 16659456 16898068 17349888 18434256 18619392 18646144 19783104 20089344 20341248 20698112 21344928 23133184 23553024 23856096 24579008 25347102 26323968 26377472 27969216 28459904 28775424 31047168 31808128 33796136 34699776 36868512 37292288 39566208 40178688 40682496 42689856 47712192 49158016 50694204 52754944 55938432 56919808 62094336 63616256 67592272 69399552 73737024 74584576 79132416 85379712 95424384 98316032 101388408 105509888 111876864 113839616 127232512 135184544 147474048 149169152 158264832 170759424 190848768 196632064 202776816 223753728 227679232 254465024 270369088 294948096 316529664 341518848 381697536 393264128 405553632 447507456 540738176 589896192 683037696 763395072 811107264 1081476352 1179792384 1622214528 2162952704 3244429056 4325905408 6488858112 12977716224
• Sum of all divisors σ(n): 44568921600
• Sum of proper divisors (its aliquot sum) s(n): 31591205376
• 12977716224 is an abundant number, because the sum of its proper divisors (31591205376) is greater than itself. Its abundance is 18613489152

Bases of 12977716224

• Binary: 1100000101100010000011110000000000₂
• Hexadecimal: 0x305883C00
• Base-36: 5YMLHXC

Squares and roots of 12977716224

• 12977716224 squared (12977716224²) is 168421118390672818176
• 12977716224 cubed (12977716224³) is 2185721480602859402718477287424
• The square root of 12977716224 is 113919.7797750683
• The cube root of 12977716224 is 2349.9904163787

Scales and comparisons

• 12,977,716,224 seconds is equal to 412 years, 33 weeks, 6 days, 1 hour, 10 minutes, 24 seconds.
• To count from 1 to 12,977,716,224 would take you about eight hundred twenty-five 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 12977716224 cubic inches would be around 195.8 feet tall.

Recreational maths with 12977716224

• 12977716224 backwards is 42261777921
• 12977716224 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 12977716224's digits is 48
• More coming soon!