12972916314800

Names of 12972916314800

• Cardinal: 12972916314800 can be written as Twelve trillion, nine hundred seventy-two billion, nine hundred sixteen million, three hundred fourteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.29729163148 × 10¹³

Factors of 12972916314800

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 683

Divisors of 12972916314800

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 19 20 25 26 34 38 40 50 52 65 68 76 80 85 95 100 104 130 136 139 152 170 181 190 200 208 221 247 260 272 278 304 307 323 325 340 362 380 400 425 442 475 494 520 556 614 646 650 680 695 724 760 850 884 905 950 988 1040 1105 1112 1228 1235 1292 1300 1360 1390 1448 1520 1535 1615 1700 1768 1807 1810 1900 1976 2210 2224 2353 2363 2456 2470 2584 2600 2641 2780 2896 3070 3077 3230 3400 3439 3475 3536 3614 3620 3800 3952 3991 4199 4420 4525 4706 4726 4912 4940 5168 5200 5219 5282 5525 5560 5833 6140 6154 6175 6460 6800 6878 6950 7228 7240 7600 7675 7982 8075 8398 8840 9035 9050 9412 9452 9880 10438 10564 11050 11120 11666 11765 11815 12280 12308 12350 12920 13205 13756 13900 14456 14480 15350 15385 15964 16150 16796 17195 17680 18070 18100 18824 18904 19760 19955 20876 20995 21128 22100 23332 23530 23630 24560 24616 24700 25159 25840 26095 26410 27512 27800 28912 29165 30700 30719 30770 31928 32300 33592 34333 34390 36140 36200 37648 37808 39910 40001 41752 41990 42256 42673 44200 44707 44897 45175 46664 47060 47260 49232 49400 50318 52190 52820 55024 55567 55600 58330 58463 58825 59075 61400 61438 61540 63856 64600 66025 67184 67847 68666 68780 72280 72400 75829 76925 79820 80002 83504 83980 85346 85975 88400 89414 89794 90350 93328 94120 94520 98800 99161 99775 100636 104380 104975 105640 111134 116660 116926 117650 118150 122800 122876 123080 125795 129200 130475 132050 135694 137332 137560 144560 145825 151658 153595 153850 159640 160004 167960 170692 171665 171950 178828 179588 180700 188240 189040 198322 199550 200005 201272 208760 209950 211280 213365 222268 223535 224485 233320 233852 235300 236300 245752 246160 251590 260950 264100 271388 274664 275120 277835 291650 292315 303316 307190 307700 319280 320008 327067 335920 339235 341384 343330 343900 357656 359176 361400 379145 396644 399100 400010 402544 417520 419900 426730 427703 444536 447070 448970 466640 467704 470600 472600 478021 491504 495805 503180 521900 528200 542776 549328 554749 555670 583300 583661 584630 606632 614380 615400 628975 640016 654134 678470 682768 686660 687800 715312 718352 722371 722800 725441 758290 760019 767975 793288 798200 800020 810787 839800 853460 855406 858325 889072 894140 897940 935408 941200 944639 945200 956042 991610 1000025 1006360 1043800 1055773 1056400 1066825 1085552 1109498 1111340 1117675 1122425 1166600 1167322 1169260 1213264 1228760 1230800 1257950 1289093 1308268 1356940 1373320 1375600 1389175 1444742 1450882 1461575 1516580 1520038 1535950 1586576 1596400 1600040 1621574 1635335 1679600 1696175 1706920 1710812 1716650 1788280 1795880 1889278 1895725 1912084 1983220 2000050 2012720 2087600 2111546 2133650 2138515 2218996 2222680 2235350 2244850 2333200 2334644 2338520 2390105 2457520 2479025 2515900 2578186 2616536 2713880 2746640 2773745 2778350 2889484 2901764 2918305 2923150 3033160 3040076 3071900 3200080 3243148 3270670 3392350 3413840 3421624 3433300 3576560 3591760 3611855 3627205 3778556 3791450 3800095 3824168 3966440 4000100 4053935 4223092 4267300 4277030 4437992 4445360 4470700 4489700 4669288 4677040 4723195 4780210 4958050 5031800 5156372 5233072 5278865 5427760 5547490 5556700 5560139 5778968 5803528 5836610 5846300 6066320 6080152 6143800 6214273 6445465 6486296 6541340 6784700 6843248 6866600 7223710 7254410 7557112 7582900 7600190 7648336 7723813 7932880 8000200 8107870 8126357 8176675 8446184 8534600 8554060 8875984 8941400 8979400 9338576 9430733 9446390 9560420 9916100 10063600 10312744 10540231 10557730 10692575 11094980 11113400 11120278 11557936 11607056 11673220 11692600 11950525 12160304 12280307 12287600 12428546 12890930 12972592 13082680 13569400 13725049 13733200 13783379 13868725 14447420 14508820 14591525 15114224 15165800 15200380 15447626 16000400 16215740 16252714 16353350 16892368 17069200 17108120 17882800 17948141 17958800 18059275 18136025 18861466 18892780 19000475 19120840 19832200 20269675 20625488 21080462 21115460 21385150 22189960 22226800 22240556 23346440 23385200 23615975 23901050 24560614 24857092 25781860 26165360 26394325 27138800 27450098 27566758 27737450 27800695 28894840 29017640 29183050 30331600 30400760 30895252 31071365 32227325 32431480 32505428 32706700 34216240 35896282 36118550 36272050 37722932 37785560 38000950 38241680 38619065 39664400 40539350 40631785 42160924 42230920 42770300 44379920 44481112 46692880 47153665 47231950 47802100 49121228 49714184 51563720 52701155 52788650 54900196 55133516 55474900 55601390 57789680 58035280 58366100 60801520 61401535 61790504 62142730 64454650 64862960 65010856 65413400 68625245 68916895 71792564 72237100 72544100 75445864 75571120 76001900 77238130 81078700 81263570 84321848 84461840 85540600 88962224 89740705 94307330 94463900 95604200 98242456 99428368 100409569 103127440 105402310 105577300 105642641 109800392 110267032 110949800 111202780 116732200 122803070 123581008 124285460 128909300 130021712 130826800 131304821 137250490 137833790 139003475 143585128 144474200 145088200 146752447 150891728 152003800 154476260 155356825 162157400 162527140 168643696 171081200 179183927 179481410 188614660 188927800 191208400 193095325 196484912 200819138 203158925 210804620 211154600 211285282 219600784 220534064 221899600 222405560 233325833 233464400 235768325 245606140 248570920 257818600 262609642 263505775 274500980 275667580 278006950 287170256 288948400 290176400 293504894 304007600 307007675 308952520 310713650 324314800 325054280 343126225 344584475 358367854 358962820 377229320 377855600 386190650 401638276 406317850 421609240 422309200 422570564 444811120 448703525 466651666 471536650 491212280 497141840 502047845 515637200 525219284 527011550 528213205 549001960 551335160 556013900 587009788 614015350 617905040 621427300 650108560 656524105 686252450 689168950 716735708 717925640 733762235 754458640 772381300 803276552 812635700 843218480 845141128 895919635 897407050 933303332 943073300 982424560 1004095690 1050438568 1054023100 1056426410 1098003920 1102670320 1112027800 1166629165 1174019576 1228030700 1242854600 1313048210 1372504900 1378337900 1433471416 1435851280 1467524470 1544762600 1606553104 1625271400 1690282256 1706962673 1791839270 1794814100 1866606664 1886146600 1907781811 2008191380 2100877136 2108046200 2112852820 2224055600 2333258330 2348039152 2456061400 2485709200 2494791599 2510239225 2626096420 2641066025 2745009800 2756675800 2866942832 2935048940 3089525200 3250542800 3282620525 3413925346 3583678540 3589628200 3668811175 3733213328 3772293200 3815563622 4016382760 4216092400 4225705640 4479598175 4666516660 4912122800 4989583198 5020478450 5252192840 5282132050 5490019600 5513351600 5833145825 5870097880 6565241050 6827850692 7167357080 7179256400 7337622350 7631127244 8032765520 8451411280 8534813365 8959196350 9333033320 9538909055 9979166396 10040956900 10504385680 10564264100 11666291650 11740195760 12473957995 13130482100 13655701384 14334714160 14675244700 15262254488 17069626730 17918392700 18666066640 19077818110 19958332792 20081913800 21128528200 23332583300 24947915990 26260964200 27311402768 29350489400 30524508976 32432290787 34139253460 35836785400 38155636220 39916665584 40163827600 42257056400 42674066825 46665166600 47694545275 49895831980 52521928400 58700978800 62369789975 64864581574 68278506920 71673570800 76311272440 85348133650 93330333200 95389090550 99791663960 124739579950 129729163148 136557013840 152622544880 162161453935 170696267300 190778181100 199583327920 249479159900 259458326296 324322907870 341392534600 381556362200 498958319800 518916652592 648645815740 682785069200 763112724400 810807269675 997916639600 1297291631480 1621614539350 2594583262960 3243229078700 6486458157400 12972916314800
• Sum of all divisors σ(n): 38010542169600
• Sum of proper divisors (its aliquot sum) s(n): 25037625854800
• 12972916314800 is an abundant number, because the sum of its proper divisors (25037625854800) is greater than itself. Its abundance is 12064709540000

Bases of 12972916314800

• Binary: 10111100110001111110000100011001001010110000₂
• Hexadecimal: 0xBCC7E1192B0
• Base-36: 4LJOBF8A8

Squares and roots of 12972916314800

• 12972916314800 squared (12972916314800²) is 168296557710804012699040000
• 12972916314800 cubed (12972916314800³) is 2183297159251169116568682398297792000000
• The square root of 12972916314800 is 3601793.4858622863
• The cube root of 12972916314800 is 23497.0065991339

Scales and comparisons

• 12,972,916,314,800 seconds is equal to 412,498 years, 31 weeks, 5 days, 9 hours, 13 minutes, 20 seconds.
• To count from 1 to 12,972,916,314,800 would take you about one million, thirty-one thousand, two hundred forty-six 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 12972916314800 cubic inches would be around 1958.1 feet tall.

Recreational maths with 12972916314800

• 12972916314800 backwards is 00841361927921
• The number of decimal digits it has is: 14
• The sum of 12972916314800's digits is 53
• More coming soon!