1678368148992

Names of 1678368148992

• Cardinal: 1678368148992 can be written as One trillion, six hundred seventy-eight billion, three hundred sixty-eight million, one hundred forty-eight thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.678368148992 × 10¹²

Factors of 1678368148992

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1967

Divisors of 1678368148992

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 41 48 51 54 62 64 68 72 81 82 93 96 102 108 123 124 128 136 144 153 162 164 186 192 204 216 246 248 256 272 279 288 306 324 328 369 372 384 408 432 459 492 496 512 527 544 558 576 612 648 656 697 738 744 768 816 837 864 918 984 992 1054 1088 1107 1116 1152 1224 1271 1296 1312 1377 1394 1476 1488 1536 1581 1632 1674 1728 1836 1873 1968 1984 2091 2108 2176 2214 2232 2304 2448 2511 2542 2592 2624 2754 2788 2952 2976 3162 3264 3321 3348 3456 3672 3746 3813 3936 3968 4182 4216 4352 4428 4464 4608 4743 4896 5022 5084 5184 5248 5508 5576 5619 5904 5952 6273 6324 6528 6642 6696 6912 7344 7492 7626 7872 7936 8364 8432 8704 8856 8928 9486 9792 10044 10168 10368 10496 11016 11152 11238 11439 11808 11904 12546 12648 13056 13284 13392 13824 14229 14688 14984 15252 15744 15872 16728 16857 16864 17712 17856 18819 18972 19584 20088 20336 20736 20992 21607 22032 22304 22476 22878 23616 23808 25092 25296 26112 26568 26784 28458 29376 29968 30504 31488 31841 33456 33714 33728 34317 35424 35712 37638 37944 39168 40176 40672 41472 42687 43214 44064 44608 44952 45756 47232 47616 50184 50571 50592 53136 53568 56457 56916 58063 58752 59936 61008 62976 63682 64821 66912 67428 67456 68634 70848 71424 75276 75888 76793 78336 80352 81344 85374 86428 88128 89216 89904 91512 94464 95523 100368 101142 101184 102951 106272 107136 112914 113832 116126 117504 119872 122016 127364 129642 133824 134856 134912 137268 141696 142848 150552 151713 151776 153586 160704 162688 170748 172856 174189 176256 178432 179808 183024 188928 191046 194463 200736 202284 202368 205902 212544 214272 225828 227664 230379 232252 235008 239744 244032 254728 259284 267648 269712 269824 274536 283392 286569 301104 303426 303552 307172 321408 325376 341496 345712 348378 352512 356864 359616 366048 382092 388926 401472 404568 404736 411804 425088 428544 451656 455328 460758 464504 479488 488064 509456 518568 522567 535296 539424 549072 566784 573138 583389 602208 606852 607104 614344 642816 650752 682992 691137 691424 696756 705024 719232 732096 764184 777852 802944 809136 809472 823608 850176 859707 903312 910656 921516 929008 958976 976128 987071 1018912 1037136 1045134 1070592 1078848 1098144 1146276 1166778 1204416 1213704 1214208 1228688 1285632 1305481 1365984 1382274 1382848 1393512 1438464 1464192 1528368 1555704 1567701 1605888 1618272 1647216 1700352 1719414 1750167 1806624 1821312 1843032 1858016 1952256 1974142 2037824 2073411 2074272 2090268 2157696 2196288 2292552 2333556 2380583 2408832 2427408 2428416 2457376 2579121 2610962 2731968 2764548 2765696 2787024 2876928 2928384 2961213 3056736 3111408 3135402 3211776 3236544 3294432 3438828 3500334 3613248 3642624 3686064 3716032 3916443 3948284 4075648 4146822 4148544 4180536 4315392 4392576 4585104 4667112 4703103 4761166 4817664 4854816 4914752 5158242 5221924 5463936 5529096 5531392 5574048 5856768 5922426 6113472 6220233 6222816 6270804 6473088 6588864 6877656 7000668 7141749 7226496 7285248 7372128 7432064 7832886 7896568 8151296 8293644 8297088 8361072 8630784 8785152 8883639 9170208 9334224 9406206 9522332 9635328 9709632 9829504 10316484 10443848 10927872 11058192 11062784 11148096 11749329 11844852 12226944 12440466 12445632 12541608 12946176 13177728 13755312 14001336 14283498 14452992 14744256 14864128 15665772 15793136 16302592 16587288 16594176 16722144 17570304 17767278 18340416 18668448 18812412 19044664 19419264 19659008 20632968 20887696 21425247 21855744 22116384 22296192 23498658 23689704 24453888 24880932 24891264 25083216 25892352 26355456 26650917 27510624 28002672 28566996 28905984 29488512 29728256 31331544 31586272 33174576 33188352 33444288 35247987 35534556 36680832 37336896 37624824 38089328 38838528 39318016 40469911 41265936 41775392 42850494 44232768 44592384 46997316 47379408 48907776 49761864 49782528 50166432 52710912 53301834 55021248 56005344 57133992 58977024 62663088 63172544 64275741 66349152 66888576 70495974 71069112 73361664 74673792 75249648 76178656 77677056 79952751 80939822 82531872 83550784 85700988 88465536 89184768 93994632 94758816 99523728 99565056 100332864 105743961 106603668 110042496 112010688 114267984 117954048 121409733 125326176 126345088 128551482 132698304 133777152 140991948 142138224 146723328 149347584 150499296 152357312 159905502 161879644 165063744 167101568 171401976 176931072 187989264 189517632 192827223 199047456 200665728 211487922 213207336 220084992 224021376 228535968 242819466 250652352 252690176 257102964 265396608 267554304 281983896 284276448 298695168 300998592 304714624 319811004 323759288 330127488 334203136 342803952 353862144 364229199 375978528 379035264 385654446 398094912 401331456 422975844 426414672 440169984 448042752 457071936 485638932 501304704 505380352 514205928 530793216 563967792 568552896 601997184 609429248 639622008 647518576 660254976 668406272 685607904 728458398 751957056 758070528 771308892 796189824 802662912 845951688 852829344 896085504 914143872 971277864 1002609408 1028411856 1061586432 1092687597 1127935584 1137105792 1203994368 1218858496 1279244016 1295037152 1320509952 1371215808 1456916796 1503914112 1516141056 1542617784 1592379648 1691903376 1705658688 1828287744 1942555728 2005218816 2056823712 2185375194 2255871168 2274211584 2407988736 2558488032 2590074304 2742431616 2913833592 3007828224 3085235568 3184759296 3278062791 3383806752 3411317376 3656575488 3885111456 4113647424 4370750388 4511742336 4548423168 5116976064 5180148608 5484863232 5827667184 6015656448 6170471136 6556125582 6767613504 6822634752 7770222912 8227294848 8741500776 9023484672 10233952128 10360297216 10969726464 11655334368 12340942272 13112251164 13535227008 13645269504 15540445824 16454589696 17483001552 18046969344 20467904256 20720594432 23310668736 24681884544 26224502328 27070454016 31080891648 32909179392 34966003104 40935808512 46621337472 49363769088 52449004656 54140908032 62161783296 69932006208 93242674944 98727538176 104898009312 139864012416 186485349888 209796018624 279728024832 419592037248 559456049664 839184074496 1678368148992
• Sum of all divisors σ(n): 5611802321664
• Sum of proper divisors (its aliquot sum) s(n): 3933434172672
• 1678368148992 is an abundant number, because the sum of its proper divisors (3933434172672) is greater than itself. Its abundance is 2255066023680

Bases of 1678368148992

• Binary: 11000011011000110100010011000111000000000₂
• Hexadecimal: 0x186C6898E00
• Base-36: LF152800

Squares and roots of 1678368148992

• 1678368148992 squared (1678368148992²) is 2816919643550832310616064
• 1678368148992 cubed (1678368148992³) is 4727828208005614855429669726860607488
• The square root of 1678368148992 is 1295518.4865496901
• The cube root of 1678368148992 is 11883.9936129625

Scales and comparisons

• 1,678,368,148,992 seconds is equal to 53,366 years, 47 weeks, 4 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 1,678,368,148,992 would take you about one hundred thirty-three thousand, four hundred seventeen 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 1678368148992 cubic inches would be around 990.3 feet tall.

Recreational maths with 1678368148992

• 1678368148992 backwards is 2998418638761
• 1678368148992 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1678368148992's digits is 72
• More coming soon!