12967770816

Names of 12967770816

• Cardinal: 12967770816 can be written as Twelve billion, nine hundred sixty-seven million, seven hundred seventy thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.2967770816 × 10¹⁰

Factors of 12967770816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 53

Divisors of 12967770816

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 27 28 32 33 34 36 39 42 44 48 49 51 52 54 56 63 64 66 68 72 77 78 81 84 88 91 96 98 99 102 104 108 112 117 119 126 132 136 143 144 147 153 154 156 162 168 176 182 187 189 192 196 198 204 208 216 221 224 231 234 238 243 252 264 272 273 286 288 294 297 306 308 312 324 336 343 351 352 357 364 374 378 392 396 408 416 429 432 441 442 448 459 462 468 476 486 504 528 539 544 546 561 567 572 576 588 594 612 616 624 637 648 663 672 686 693 702 704 714 728 748 756 784 792 816 819 832 833 858 864 882 884 891 918 924 936 952 972 1001 1008 1029 1053 1056 1071 1078 1088 1092 1122 1134 1144 1176 1188 1224 1232 1248 1274 1287 1296 1309 1323 1326 1344 1372 1377 1386 1404 1428 1456 1496 1512 1547 1568 1584 1617 1632 1638 1666 1683 1701 1716 1728 1764 1768 1782 1836 1848 1872 1904 1911 1944 1989 2002 2016 2058 2079 2106 2112 2142 2156 2184 2244 2268 2288 2352 2376 2431 2448 2457 2464 2496 2499 2548 2574 2592 2618 2646 2652 2673 2744 2754 2772 2808 2856 2912 2992 3003 3024 3087 3094 3136 3159 3168 3213 3234 3264 3276 3332 3366 3402 3432 3528 3536 3564 3672 3696 3744 3773 3808 3822 3861 3888 3927 3969 3978 4004 4032 4116 4131 4158 4212 4284 4312 4368 4459 4488 4536 4576 4641 4704 4752 4851 4862 4896 4914 4928 4998 5049 5096 5148 5184 5236 5292 5304 5346 5488 5508 5544 5616 5712 5733 5824 5831 5967 5984 6006 6048 6174 6188 6237 6318 6336 6426 6468 6552 6664 6732 6804 6864 7007 7056 7072 7128 7293 7344 7371 7392 7488 7497 7546 7616 7644 7722 7776 7854 7938 7956 8008 8232 8262 8316 8424 8568 8624 8736 8918 8976 9009 9072 9152 9163 9261 9282 9408 9504 9639 9702 9724 9792 9828 9996 10098 10192 10296 10472 10584 10608 10692 10829 10976 11016 11088 11232 11319 11424 11466 11583 11662 11781 11907 11934 11968 12012 12096 12348 12376 12474 12636 12852 12936 13104 13328 13377 13464 13608 13728 13923 14014 14112 14144 14256 14553 14586 14688 14742 14784 14994 15092 15147 15288 15444 15552 15708 15876 15912 16016 16464 16524 16632 16848 17017 17136 17199 17248 17472 17493 17836 17901 17952 18018 18144 18326 18522 18564 18711 19008 19278 19404 19448 19656 19992 20196 20384 20592 20944 21021 21168 21216 21384 21658 21879 21952 22032 22113 22176 22464 22491 22638 22848 22932 23166 23324 23562 23814 23868 24024 24696 24752 24948 25272 25704 25872 26208 26656 26754 26928 27027 27216 27456 27489 27783 27846 28028 28224 28512 28917 29106 29172 29376 29484 29988 30184 30294 30576 30888 31416 31752 31824 32032 32487 32928 33048 33264 33696 33957 34034 34272 34398 34496 34749 34986 35343 35672 35802 35904 36036 36288 36652 37044 37128 37422 38556 38808 38896 39312 39984 40131 40392 40768 41184 41769 41888 42042 42336 42432 42768 43316 43659 43758 44064 44226 44352 44982 45276 45441 45864 46332 46648 47124 47628 47736 48048 49049 49392 49504 49896 50544 51051 51408 51597 51744 52416 52479 53312 53508 53703 53856 54054 54432 54978 55566 55692 56056 57024 57834 58212 58344 58968 59976 60368 60588 61152 61776 62832 63063 63504 63648 64064 64141 64974 65637 65856 66096 66528 67392 67473 67914 68068 68544 68796 69498 69972 70686 71344 71604 72072 73304 74088 74256 74844 75803 77112 77616 77792 78624 79968 80262 80784 81081 82368 82467 83349 83538 83776 84084 84672 85536 86632 87318 87516 88128 88452 89964 90552 90882 91728 92664 93296 94248 95256 95472 96096 97461 98098 98784 99008 99792 101088 101871 102102 102816 103194 103488 104958 106029 107016 107406 107712 108108 108864 109956 111132 111384 112112 115668 116424 116688 117936 119119 119952 120393 120736 121176 122304 123552 125307 125664 126126 127008 127296 128282 129948 130977 131274 132192 133056 134946 135828 136136 137592 138996 139944 141372 142688 143208 144144 146608 147147 148176 148512 149688 151606 153153 154224 154791 155232 155584 157248 157437 159936 160524 161568 162162 164934 166698 167076 168168 171072 173264 174636 175032 176904 179928 181104 181764 183456 185328 186592 188496 189189 190512 190944 192192 192423 194922 196196 196911 197568 199584 202176 202419 203742 204204 205632 206388 209916 212058 214032 214812 216216 219912 222264 222768 224224 227409 231336 232848 233376 235872 238238 239904 240786 241472 242352 243243 247104 247401 250614 251328 252252 254016 256564 259896 261954 262548 264384 269892 271656 272272 275184 277992 279888 282744 285376 286416 288288 292383 293216 294294 296352 297024 299376 303212 305613 306306 308448 309582 310464 314874 318087 321048 323136 324324 329868 333396 334152 336336 346528 349272 350064 353808 357357 359856 361179 362208 363528 366912 370656 373184 375921 376992 378378 381024 381888 384846 389844 392392 393822 399168 404838 407484 408408 412776 419832 424116 428064 429624 432432 439824 441441 444528 445536 448448 454818 459459 462672 465696 466752 471744 472311 476476 479808 481572 484704 486486 494802 501228 504504 513128 519792 523908 525096 539784 543312 544544 550368 555984 559776 565488 567567 572832 576576 577269 584766 586432 588588 590733 592704 598752 606424 611226 612612 616896 619164 629748 636174 642096 648648 659736 666792 668304 672672 682227 693056 698544 700128 707616 714714 719712 722358 724416 727056 741312 742203 751842 753984 756756 762048 769692 779688 784784 787644 809676 814968 816816 825552 833833 839664 848232 856128 859248 864864 877149 879648 882882 889056 891072 909636 916839 918918 925344 931392 944622 952952 963144 969408 972972 989604 1002456 1009008 1026256 1039584 1047816 1050192 1072071 1079568 1083537 1086624 1089088 1100736 1111968 1119552 1130976 1135134 1145664 1154538 1169532 1177176 1181466 1197504 1212848 1222452 1225224 1238328 1259496 1272348 1284192 1297296 1319472 1324323 1333584 1336608 1345344 1364454 1378377 1397088 1400256 1415232 1416933 1429428 1439424 1444716 1454112 1484406 1503684 1513512 1539384 1559376 1569568 1575288 1619352 1629936 1633632 1651104 1667666 1679328 1696464 1702701 1718496 1729728 1731807 1754298 1759296 1765764 1778112 1819272 1833678 1837836 1850688 1889244 1905904 1926288 1945944 1979208 2004912 2018016 2046681 2052512 2079168 2095632 2100384 2144142 2159136 2167074 2173248 2223936 2226609 2261952 2270268 2309076 2339064 2354352 2362932 2425696 2444904 2450448 2476656 2501499 2518992 2544696 2568384 2594592 2631447 2638944 2648646 2667168 2673216 2728908 2756754 2794176 2833866 2858856 2889432 2908224 2968812 3007368 3027024 3078768 3118752 3139136 3150576 3216213 3238704 3259872 3267264 3302208 3335332 3358656 3392928 3405402 3436992 3463614 3508596 3531528 3638544 3667356 3675672 3778488 3811808 3852576 3891888 3958416 3972969 4009824 4036032 4093362 4105024 4135131 4191264 4200768 4288284 4318272 4334148 4453218 4540536 4618152 4678128 4708704 4725864 4851392 4889808 4900896 4953312 5002998 5037984 5089392 5189184 5195421 5262894 5277888 5297292 5334336 5457816 5513508 5667732 5717712 5778864 5937624 6014736 6054048 6140043 6157536 6237504 6301152 6432426 6477408 6519744 6670664 6785856 6810804 6927228 7017192 7063056 7277088 7334712 7351344 7504497 7556976 7623616 7705152 7783776 7916832 7945938 8019648 8186724 8270262 8382528 8576568 8668296 8906436 9081072 9236304 9356256 9417408 9451728 9648639 9779616 9801792 9906624 10005996 10075968 10178784 10390842 10525788 10594584 10915632 11027016 11335464 11435424 11557728 11875248 11918907 12029472 12108096 12280086 12315072 12602304 12864852 12954816 13341328 13621608 13854456 14034384 14126112 14554176 14669424 14702688 15008994 15113952 15567552 15586263 15833664 15891876 16373448 16540524 17153136 17336592 17812872 18162144 18420129 18472608 18712512 18903456 19297278 19559232 20011992 20357568 20781684 21051576 21189168 21831264 22054032 22513491 22670928 22870848 23115456 23750496 23837814 24058944 24560172 25729704 26682656 27243216 27708912 28068768 28252224 28945917 29338848 29405376 30017988 30227904 31172526 31783752 32746896 33081048 34306272 34673184 35625744 36324288 36840258 36945216 37806912 38594556 40023984 41563368 42103152 42378336 43662528 44108064 45026982 45341856 47500992 47675628 49120344 51459408 53365312 54486432 55417824 56137536 57891834 58677696 60035976 62345052 63567504 65493792 66162096 67540473 68612544 69346368 71251488 73680516 77189112 80047968 83126736 84206304 84756672 88216128 90053964 90683712 95351256 98240688 102918816 108972864 110835648 115783668 120071952 124690104 127135008 130987584 132324192 135080946 142502976 147361032 154378224 160095936 166253472 168412608 180107928 190702512 196481376 202621419 205837632 231567336 240143904 249380208 254270016 264648384 270161892 294722064 308756448 332506944 360215856 381405024 392962752 405242838 463134672 480287808 498760416 540323784 589444128 617512896 720431712 762810048 810485676 926269344 997520832 1080647568 1178888256 1440863424 1620971352 1852538688 2161295136 3241942704 4322590272 6483885408 12967770816
• Sum of all divisors σ(n): 55917388800
• Sum of proper divisors (its aliquot sum) s(n): 42949617984
• 12967770816 is an abundant number, because the sum of its proper divisors (42949617984) is greater than itself. Its abundance is 29981847168

Bases of 12967770816

• Binary: 1100000100111100000111101011000000₂
• Hexadecimal: 0x304F07AC0
• Base-36: 5YGOC00

Squares and roots of 12967770816

• 12967770816 squared (12967770816²) is 168163079936301305856
• 12967770816 cubed (12967770816³) is 2180700280326643213062126698496
• The square root of 12967770816 is 113876.1204818639
• The cube root of 12967770816 is 2349.3899618285

Scales and comparisons

• 12,967,770,816 seconds is equal to 412 years, 17 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
• To count from 1 to 12,967,770,816 would take you about eight hundred twenty-four 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 12967770816 cubic inches would be around 195.8 feet tall.

Recreational maths with 12967770816

• 12967770816 backwards is 61807776921
• 12967770816 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 12967770816's digits is 54
• More coming soon!