12736948224

Names of 12736948224

• Cardinal: 12736948224 can be written as Twelve billion, seven hundred thirty-six million, nine hundred forty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.2736948224 × 10¹⁰

Factors of 12736948224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 164

Divisors of 12736948224

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 32 33 38 39 42 44 48 52 56 57 64 66 76 77 78 84 88 91 96 104 109 112 114 128 132 133 143 152 154 156 168 176 182 192 208 209 218 224 228 231 247 256 264 266 273 286 304 308 312 327 336 352 364 384 399 416 418 429 436 448 456 462 494 512 528 532 546 572 608 616 624 627 654 672 704 728 741 763 768 798 832 836 858 872 896 912 924 988 1001 1024 1056 1064 1092 1144 1199 1216 1232 1248 1254 1308 1344 1408 1417 1456 1463 1482 1526 1536 1596 1664 1672 1716 1729 1744 1792 1824 1848 1976 2002 2048 2071 2112 2128 2184 2288 2289 2398 2432 2464 2496 2508 2616 2688 2717 2816 2834 2912 2926 2964 3003 3052 3072 3192 3328 3344 3432 3458 3488 3584 3597 3648 3696 3952 4004 4142 4224 4251 4256 4368 4389 4576 4578 4796 4864 4928 4992 5016 5187 5232 5376 5434 5632 5668 5824 5852 5928 6006 6104 6144 6213 6384 6656 6688 6864 6916 6976 7168 7194 7296 7392 7904 8008 8151 8284 8393 8448 8502 8512 8736 8778 9152 9156 9592 9728 9856 9919 9984 10032 10374 10464 10752 10868 11264 11336 11648 11704 11856 12012 12208 12426 12768 13312 13376 13728 13832 13952 14336 14388 14497 14592 14784 15587 15808 16016 16302 16568 16786 16896 17004 17024 17472 17556 18304 18312 19019 19184 19456 19712 19838 19968 20064 20748 20928 21504 21736 22528 22672 22781 23296 23408 23712 24024 24416 24852 25179 25536 26624 26752 26923 27456 27664 27904 28776 28994 29184 29568 29757 31174 31616 32032 32604 33136 33572 33792 34008 34048 34944 35112 36608 36624 38038 38368 38912 39424 39676 39936 40128 41496 41856 43008 43472 43491 45344 45562 46592 46761 46816 47424 48048 48832 49704 50358 51072 53504 53846 54912 55328 55808 57057 57552 57988 58368 59136 59514 62348 63232 64064 65208 66272 67144 67584 68016 68096 68343 69888 70224 73216 73248 76076 76736 78848 79352 79872 80256 80769 82992 83712 86944 86982 90688 91124 93184 93522 93632 94848 96096 97664 99408 100716 102144 107008 107692 109109 109824 110656 111616 114114 115104 115976 116736 118272 119028 124696 126464 128128 130416 132544 134288 136032 136192 136686 139776 140448 146432 146496 152152 153472 157696 158704 159467 160512 161538 165984 167424 173888 173964 181376 182248 186368 187044 187264 188461 189696 192192 195328 198816 201432 204288 214016 215384 218218 219648 221312 223232 228228 230208 231952 236544 238056 249392 252928 256256 260832 265088 268576 272064 272384 273372 279552 280896 292864 292992 296153 304304 306944 317408 318934 321024 323076 327327 331968 334848 347776 347928 362752 364496 374088 374528 376922 379392 384384 390656 397632 402864 408576 428032 430768 436436 439296 442624 456456 460416 463904 473088 476112 478401 498784 505856 512512 521664 530176 537152 544128 546744 559104 561792 565383 585984 592306 608608 613888 634816 637868 642048 646152 654654 663936 669696 695552 695856 725504 728992 748176 749056 753844 758784 768768 781312 795264 805728 817152 861536 872872 878592 885248 888459 912912 920832 927808 952224 956802 997568 1025024 1043328 1060352 1074304 1088256 1093488 1123584 1130766 1171968 1184612 1217216 1227776 1269632 1275736 1284096 1292304 1309308 1327872 1391104 1391712 1451008 1457984 1496352 1498112 1507688 1517568 1537536 1562624 1590528 1611456 1723072 1745744 1770496 1776918 1825824 1841664 1855616 1904448 1913604 1995136 2050048 2073071 2086656 2120704 2148608 2176512 2186976 2247168 2261532 2343936 2369224 2434432 2455552 2539264 2551472 2584608 2618616 2655744 2782208 2783424 2902016 2915968 2992704 2996224 3015376 3075072 3181056 3222912 3446144 3491488 3540992 3553836 3651648 3683328 3711232 3808896 3827208 3990272 4146142 4173312 4241408 4297216 4353024 4373952 4494336 4523064 4687872 4738448 4868864 5078528 5102944 5169216 5237232 5311488 5564416 5566848 5831936 5985408 6030752 6150144 6219213 6362112 6445824 6892288 6982976 7107672 7303296 7366656 7422464 7617792 7654416 7980544 8292284 8346624 8594432 8706048 8747904 8988672 9046128 9476896 9737728 10157056 10205888 10338432 10474464 10622976 11133696 11663872 11970816 12061504 12438426 12724224 12891648 13784576 13965952 14215344 14606592 14844928 15235584 15308832 15961088 16584568 16693248 17188864 17495808 18092256 18953792 19475456 20314112 20411776 20676864 20948928 22267392 23327744 23941632 24123008 24876852 25783296 27569152 27931904 28430688 29213184 29689856 30471168 30617664 31922176 33169136 34991616 36184512 37907584 38950912 40823552 41353728 41897856 44534784 46655488 47883264 48246016 49753704 51566592 55138304 55863808 56861376 58426368 60942336 61235328 66338272 69983232 72369024 75815168 81647104 82707456 83795712 89069568 95766528 96492032 99507408 111727616 113722752 116852736 122470656 132676544 139966464 144738048 151630336 163294208 165414912 167591424 192984064 199014816 223455232 227445504 244941312 265353088 289476096 303260672 326588416 335182848 385968128 398029632 454891008 489882624 530706176 578952192 606521344 670365696 796059264 909782016 979765248 1061412352 1157904384 1592118528 1819564032 2122824704 3184237056 4245649408 6368474112 12736948224
• Sum of all divisors σ(n): 48432384000
• Sum of proper divisors (its aliquot sum) s(n): 35695435776
• 12736948224 is an abundant number, because the sum of its proper divisors (35695435776) is greater than itself. Its abundance is 22958487552

Bases of 12736948224

• Binary: 1011110111001011100110100000000000₂
• Hexadecimal: 0x2F72E6800
• Base-36: 5UN905C

Squares and roots of 12736948224

• 12736948224 squared (12736948224²) is 162229850060856754176
• 12736948224 cubed (12736948224³) is 2066313200612415727020407783424
• The square root of 12736948224 is 112858.0888727077
• The cube root of 12736948224 is 2335.3669392323

Scales and comparisons

• 12,736,948,224 seconds is equal to 404 years, 51 weeks, 5 days, 9 hours, 10 minutes, 24 seconds.
• To count from 1 to 12,736,948,224 would take you about eight hundred 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 12736948224 cubic inches would be around 194.6 feet tall.

Recreational maths with 12736948224

• 12736948224 backwards is 42284963721
• 12736948224 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 12736948224's digits is 48
• More coming soon!