1972268006400
1,972,268,006,400 is an even composite number composed of six prime numbers multiplied together.
1972268006400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 1972268006400:
210 × 33 × 52 × 29 × 61 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 29 × 61 × 1613)See below for interesting mathematical facts about the number 1972268006400 from the Numbermatics database.
Names of 1972268006400
- Cardinal: 1972268006400 can be written as One trillion, nine hundred seventy-two billion, two hundred sixty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.9722680064 × 1012
Factors of 1972268006400
Divisors of 1972268006400
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 61 64 72 75 80 87 90 96 100 108 116 120 122 128 135 144 145 150 160 174 180 183 192 200 216 225 232 240 244 256 261 270 288 290 300 305 320 348 360 366 384 400 432 435 450 464 480 488 512 522 540 549 576 580 600 610 640 675 696 720 725 732 768 783 800 864 870 900 915 928 960 976 1024 1044 1080 1098 1152 1160 1200 1220 1280 1305 1350 1392 1440 1450 1464 1525 1536 1566 1600 1613 1647 1728 1740 1769 1800 1830 1856 1920 1952 2088 2160 2175 2196 2304 2320 2400 2440 2560 2610 2700 2745 2784 2880 2900 2928 3050 3072 3132 3200 3226 3294 3456 3480 3538 3600 3660 3712 3840 3904 3915 4176 4320 4350 4392 4575 4608 4640 4800 4839 4880 5120 5220 5307 5400 5490 5568 5760 5800 5856 6100 6264 6400 6452 6525 6588 6912 6960 7076 7200 7320 7424 7680 7808 7830 8065 8235 8352 8640 8700 8784 8845 9150 9216 9280 9600 9678 9760 10440 10614 10800 10980 11136 11520 11600 11712 12200 12528 12800 12904 13050 13176 13725 13824 13920 14152 14400 14517 14640 14848 15360 15616 15660 15921 16130 16470 16704 17280 17400 17568 17690 18300 18560 19200 19356 19520 19575 20880 21228 21600 21960 22272 23040 23200 23424 24195 24400 25056 25600 25808 26100 26352 26535 27450 27648 27840 28304 28800 29034 29280 29696 31232 31320 31842 32260 32940 33408 34560 34800 35136 35380 36600 37120 38400 38712 39040 39150 40325 41175 41760 42456 43200 43551 43920 44225 44544 46080 46400 46777 46848 47763 48390 48800 50112 51616 52200 52704 53070 54900 55680 56608 57600 58068 58560 62464 62640 63684 64520 65880 66816 69120 69600 70272 70760 72585 73200 74240 76800 77424 78080 78300 79605 80650 82350 83520 84912 86400 87102 87840 88450 89088 92800 93554 93696 95526 96780 97600 98393 100224 103232 104400 105408 106140 109800 111360 113216 115200 116136 117120 120975 125280 127368 129040 131760 132675 133632 138240 139200 140331 140544 141520 145170 146400 148480 154848 156160 156600 159210 161300 164700 167040 169824 172800 174204 175680 176900 185600 187108 187392 191052 193560 195200 196786 200448 206464 208800 210816 212280 217755 219600 222720 226432 230400 232272 233885 234240 238815 241950 250560 254736 258080 263520 265350 267264 278400 280662 281088 283040 290340 292800 295179 309696 312320 313200 318420 322600 329400 334080 339648 345600 348408 351360 353800 362925 371200 374216 382104 387120 390400 393572 398025 400896 412928 417600 420993 421632 424560 435510 439200 445440 452864 464544 467770 468480 477630 483900 491965 501120 509472 516160 527040 530700 556800 561324 562176 566080 580680 585600 590358 619392 626400 636840 645200 658800 668160 679296 691200 696816 701655 702720 707600 725850 742400 748432 764208 774240 780800 787144 796050 801792 825856 835200 841986 843264 849120 871020 878400 885537 905728 929088 935540 936960 955260 967800 983930 1002240 1018944 1032320 1054080 1061400 1088775 1113600 1122648 1132160 1161360 1169425 1171200 1180716 1194075 1238784 1252800 1262979 1273680 1290400 1317600 1336320 1358592 1393632 1403310 1405440 1415200 1451700 1475895 1496864 1528416 1548480 1561600 1574288 1592100 1651712 1670400 1683972 1686528 1698240 1742040 1756800 1771074 1811456 1858176 1871080 1910520 1935600 1967860 2004480 2037888 2064640 2104965 2108160 2122800 2177550 2227200 2245296 2264320 2322720 2338850 2342400 2361432 2388150 2459825 2477568 2505600 2525958 2547360 2580800 2635200 2656611 2717184 2787264 2806620 2810880 2830400 2853397 2903400 2951790 2993728 3056832 3096960 3148576 3184200 3340800 3367944 3396480 3484080 3508275 3513600 3542148 3716352 3742160 3821040 3871200 3935720 4008960 4075776 4129280 4209930 4216320 4245600 4355100 4427685 4490592 4528640 4645440 4677700 4684800 4722864 4776300 4919650 4955136 5011200 5051916 5094720 5161600 5270400 5313222 5434368 5574528 5613240 5660800 5706794 5806800 5903580 5987456 6113664 6193920 6297152 6314895 6368400 6681600 6735888 6792960 6968160 7016550 7027200 7084296 7379475 7432704 7484320 7642080 7742400 7871440 8151552 8258560 8419860 8432640 8491200 8560191 8710200 8855370 8981184 9057280 9290880 9355400 9445728 9552600 9839300 10022400 10103832 10189440 10323200 10524825 10540800 10626444 11149056 11226480 11321600 11413588 11613600 11807160 11974912 12227328 12387840 12594304 12629790 12736800 13283055 13471776 13585920 13936320 14033100 14054400 14168592 14266985 14758950 14865408 14968640 15284160 15484800 15742880 16303104 16839720 16982400 17120382 17420400 17710740 17962368 18581760 18710800 18891456 19105200 19678600 20044800 20207664 20378880 20646400 21049650 21081600 21252888 22138425 22298112 22452960 22643200 22827176 23227200 23614320 23949824 24454656 24775680 25188608 25259580 25473600 25680573 26566110 26943552 27171840 27872640 28066200 28337184 28533970 29517900 29937280 30568320 30969600 31485760 31574475 33679440 33964800 34240764 34840800 35421480 35924736 37163520 37421600 37782912 38210400 39357200 40415328 40757760 41292800 42099300 42163200 42505776 42800955 44276850 44596224 44905920 45286400 45654352 46454400 47228640 47899648 48909312 50377216 50519160 50947200 51361146 53132220 53887104 55745280 56132400 56674368 57067940 59035800 59874560 61136640 61939200 62971520 63148950 66415275 67358880 67929600 68481528 69681600 70842960 71334925 71849472 74327040 74843200 75565824 76420800 77041719 78714400 80830656 81515520 84198600 85011552 85601910 88553700 89811840 91308704 92908800 94457280 100754432 101038320 101894400 102722292 106264440 107774208 111490560 112264800 113348736 114135880 118071600 119749120 122273280 123878400 125943040 126297900 128402865 132830550 134717760 135859200 136963056 139363200 141685920 142669850 143698944 149686400 151131648 152841600 154083438 157428800 161661312 168397200 170023104 171203820 177107400 179623680 182617408 185817600 188914560 202076640 203788800 205444584 212528880 214004775 215548416 222981120 224529600 226697472 228271760 236143200 239498240 244546560 251886080 252595800 256805730 265661100 269435520 273926112 278726400 283371840 285339700 299372800 302263296 305683200 308166876 314857600 323322624 336794400 340046208 342407640 354214800 359247360 365234816 371635200 377829120 385208595 404153280 407577600 410889168 425057760 428009550 431096832 449059200 453394944 456543520 472286400 503772160 505191600 513611460 531322200 538871040 547852224 557452800 566743680 570679400 598745600 611366400 616333752 629715200 642014325 646645248 673588800 680092416 684815280 708429600 718494720 730469632 755658240 770417190 808306560 821778336 850115520 856019100 898118400 906789888 913087040 944572800 1010383200 1027222920 1062644400 1077742080 1095704448 1114905600 1133487360 1141358800 1197491200 1222732800 1232667504 1259430400 1284028650 1293290496 1347177600 1360184832 1369630560 1416859200 1460939264 1511316480 1540834380 1616613120 1643556672 1700231040 1712038200 1796236800 1826174080 1889145600 1926042975 2020766400 2054445840 2125288800 2155484160 2191408896 2266974720 2282717600 2465335008 2518860800 2568057300 2694355200 2720369664 2739261120 2833718400 2921878528 3081668760 3233226240 3287113344 3400462080 3424076400 3592473600 3652348160 3778291200 3852085950 4041532800 4108891680 4250577600 4382817792 4533949440 4565435200 4930670016 5136114600 5388710400 5478522240 5667436800 6163337520 6466452480 6574226688 6800924160 6848152800 7304696320 7556582400 7704171900 8083065600 8217783360 8501155200 8765635584 9130870400 9861340032 10272229200 10777420800 10957044480 11334873600 12326675040 13148453376 13601848320 13696305600 14609392640 15408343800 16166131200 16435566720 17002310400 18261740800 19722680064 20544458400 21914088960 22669747200 24653350080 26296906752 27392611200 30816687600 32332262400 32871133440 34004620800 36523481600 39445360128 41088916800 43828177920 49306700160 54785222400 61633375200 65742266880 68009241600 73046963200 78890720256 82177833600 98613400320 109570444800 123266750400 131484533760 164355667200 197226800640 219140889600 246533500800 328711334400 394453601280 493067001600 657422668800 986134003200 1972268006400
- Sum of all divisors σ(n): 7620018091200
- Sum of proper divisors (its aliquot sum) s(n): 5647750084800
- 1972268006400 is an abundant number, because the sum of its proper divisors (5647750084800) is greater than itself. Its abundance is 3675482078400
Bases of 1972268006400
- Binary: 111001011001101000101010101111100000000002
- Hexadecimal: 0x1CB34557C00
- Base-36: P61PG5C0
Squares and roots of 1972268006400
- 1972268006400 squared (19722680064002) is 3889841089069030440960000
- 1972268006400 cubed (19722680064003) is 7671809129950981499773092102144000000
-
The
square root of 1972268006400 is 1404374.5961815175 -
The
cube root of 1972268006400 is 12540.7057133573
Scales and comparisons
How big is 1972268006400?- 1,972,268,006,400 seconds is equal to 62,712 years, 1 week, 1 day.
-
To count from 1 to 1,972,268,006,400 would take you about one hundred fifty-six thousand, seven hundred eighty 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 1972268006400 cubic inches would be around 1045.1 feet tall.
Recreational maths with 1972268006400
- 1972268006400 backwards is 0046008622791
- 1972268006400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1972268006400's digits is 45
- More coming soon!
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The information we have on file for 1972268006400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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