997968038400

Names of 997968038400

• Cardinal: 997968038400 can be written as Nine hundred ninety-seven billion, nine hundred sixty-eight million, thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 9.979680384 × 10¹¹

Factors of 997968038400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 450

Divisors of 997968038400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 256 270 285 288 300 304 320 342 360 361 380 384 400 421 432 450 456 475 480 512 513 540 570 576 600 608 640 675 684 720 722 760 768 800 842 855 864 900 912 950 960 1026 1080 1083 1140 1152 1200 1216 1263 1280 1350 1368 1425 1440 1444 1520 1536 1600 1684 1710 1728 1800 1805 1824 1900 1920 2052 2105 2160 2166 2280 2304 2400 2432 2526 2560 2565 2700 2736 2850 2880 2888 3040 3200 3249 3368 3420 3456 3600 3610 3648 3789 3800 3840 4104 4210 4275 4320 4332 4560 4608 4800 4864 5052 5130 5400 5415 5472 5700 5760 5776 6080 6315 6400 6498 6736 6840 6859 6912 7200 7220 7296 7578 7600 7680 7999 8208 8420 8550 8640 8664 9025 9120 9600 9728 9747 10104 10260 10525 10800 10830 10944 11367 11400 11520 11552 12160 12630 12800 12825 12996 13472 13680 13718 13824 14400 14440 14592 15156 15200 15998 16245 16416 16840 17100 17280 17328 18050 18240 18945 19200 19494 20208 20520 20577 21050 21600 21660 21888 22734 22800 23040 23104 23997 24320 25260 25650 25992 26944 27075 27360 27436 28800 28880 29184 30312 30400 31575 31996 32490 32832 33680 34200 34295 34560 34656 36100 36480 37890 38400 38988 39995 40416 41040 41154 42100 43200 43320 43776 45468 45600 46208 47994 48640 48735 50520 51300 51984 53888 54150 54720 54872 56835 57600 57760 60624 60800 61731 63150 63992 64980 65664 67360 68400 68590 69120 69312 71991 72200 72960 75780 77976 79990 80832 81225 82080 82308 84200 86400 86640 87552 90936 91200 92416 94725 95988 97470 101040 102600 102885 103968 107776 108300 109440 109744 113670 115200 115520 119985 121248 121600 123462 126300 127984 129960 131328 134720 136800 137180 138624 143982 144400 145920 151560 151981 155952 159980 161664 162450 164160 164616 168400 171475 172800 173280 181872 182400 184832 185193 189450 191976 194940 199975 202080 205200 205770 207936 215552 215973 216600 218880 219488 227340 231040 239970 242496 243200 243675 246924 252600 255968 259920 262656 269440 273600 274360 277248 284175 287964 288800 303120 303962 308655 311904 319960 323328 324900 328320 329232 336800 342950 345600 346560 359955 363744 364800 370386 378900 383952 389880 399950 404160 410400 411540 415872 431946 433200 437760 438976 454680 455943 462080 479940 484992 487350 493848 505200 511936 514425 519840 538880 547200 548720 554496 568350 575928 577600 599925 606240 607924 617310 623808 639920 646656 649800 656640 658464 673600 685900 693120 719910 727488 729600 740772 757800 759905 767904 779760 799900 808320 820800 823080 831744 863892 866400 877952 909360 911886 924160 925965 959880 969984 974700 987696 1010400 1023872 1028850 1039680 1077760 1079865 1094400 1097440 1136700 1151856 1155200 1199850 1212480 1215848 1234620 1247616 1279840 1299600 1313280 1316928 1347200 1367829 1371800 1386240 1439820 1454976 1481544 1515600 1519810 1535808 1543275 1559520 1599800 1616640 1641600 1646160 1663488 1727784 1732800 1755904 1799775 1818720 1823772 1851930 1919760 1939968 1949400 1975392 2020800 2047744 2057700 2079360 2159730 2188800 2194880 2273400 2279715 2303712 2310400 2399700 2424960 2431696 2469240 2495232 2559680 2599200 2633856 2694400 2735658 2743600 2772480 2879640 2887639 2909952 2963088 3031200 3039620 3071616 3086550 3119040 3199600 3233280 3283200 3292320 3455568 3465600 3511808 3599550 3637440 3647544 3703860 3799525 3839520 3898800 3950784 4041600 4095488 4103487 4115400 4158720 4319460 4389760 4546800 4559430 4607424 4620800 4629825 4799400 4849920 4863392 4938480 4990464 5119360 5198400 5267712 5388800 5399325 5471316 5487200 5759280 5775278 5819904 5926176 6062400 6079240 6143232 6173100 6238080 6399200 6566400 6584640 6839145 6911136 6931200 7199100 7274880 7295088 7407720 7599050 7679040 7797600 7901568 8083200 8206974 8230800 8317440 8638920 8662917 8779520 9093600 9118860 9214848 9259650 9598800 9699840 9726784 9876960 10238720 10396800 10535424 10798650 10942632 10974400 11398575 11518560 11550556 11852352 12124800 12158480 12286464 12346200 12476160 12798400 13169280 13678290 13822272 13862400 14398200 14438195 14549760 14590176 14815440 15198100 15358080 15595200 15803136 16166400 16413948 16461600 17277840 17325834 17559040 18187200 18237720 18429696 18519300 19197600 19453568 19753920 20477440 20517435 20793600 21597300 21885264 21948800 22797150 23037120 23101112 23704704 24249600 24316960 24692400 24952320 25596800 25988751 26338560 27356580 27644544 28796400 28876390 29099520 29180352 29630880 30396200 30716160 31190400 31606272 32827896 32923200 34195725 34555680 34651668 36374400 36475440 36859392 37038600 38395200 38907136 39507840 41034870 41587200 43194600 43314585 43770528 43897600 45594300 46074240 46202224 47409408 48499200 48633920 49384800 51193600 51977502 52677120 54713160 55289088 57592800 57752780 58360704 59261760 60792400 61432320 62380800 65655792 65846400 68391450 69111360 69303336 72190975 72748800 72950880 74077200 76790400 77814272 77966253 79015680 82069740 86389200 86629170 87541056 87795200 91188600 92148480 92404448 94818816 97267840 98769600 102387200 102587175 103955004 109426320 110578176 115185600 115505560 116721408 118523520 121584800 124761600 129943755 131311584 131692800 136782900 138222720 138606672 144381950 145497600 145901760 148154400 153580800 155932506 158031360 164139480 172778400 173258340 175082112 182377200 184296960 184808896 194535680 197539200 205174350 207910008 216572925 218852640 230371200 231011120 233442816 237047040 243169600 259887510 262623168 263385600 273565800 276445440 277213344 288763900 291803520 296308800 307161600 311865012 328278960 345556800 346516680 350164224 364754400 369617792 389071360 389831265 395078400 410348700 415820016 433145850 437705280 460742400 462022240 474094080 486339200 519775020 525246336 547131600 552890880 554426688 577527800 583607040 592617600 623730024 649718775 656557920 691113600 693033360 700328448 729508800 739235584 779662530 790156800 820697400 831640032 866291700 875410560 921484800 924044480 972678400 1039550040 1050492672 1094263200 1108853376 1155055600 1167214080 1185235200 1247460048 1299437550 1313115840 1382227200 1386066720 1459017600 1478471168 1559325060 1641394800 1663280064 1732583400 1750821120 1848088960 1945356800 1949156325 2079100080 2100985344 2188526400 2217706752 2310111200 2370470400 2494920096 2598875100 2626231680 2764454400 2772133440 2918035200 3118650120 3282789600 3326560128 3465166800 3501642240 3696177920 3898312650 4158200160 4377052800 4435413504 4620222400 4989840192 5197750200 5252463360 5544266880 5836070400 6237300240 6565579200 6653120256 6930333600 7392355840 7796625300 8316400320 8754105600 9240444800 9979680384 10395500400 10504926720 11088533760 12474600480 13131158400 13306240512 13860667200 15593250600 16632800640 17508211200 18480889600 19959360768 20791000800 22177067520 24949200960 26262316800 27721334400 31186501200 33265601280 36961779200 39918721536 41582001600 49898401920 52524633600 55442668800 62373002400 66531202560 83164003200 99796803840 110885337600 124746004800 166328006400 199593607680 249492009600 332656012800 498984019200 997968038400
• Sum of all divisors σ(n): 3875683785600
• Sum of proper divisors (its aliquot sum) s(n): 2877715747200
• 997968038400 is an abundant number, because the sum of its proper divisors (2877715747200) is greater than itself. Its abundance is 1879747708800

Bases of 997968038400

• Binary: 1110100001011011100001111100101000000000₂
• Hexadecimal: 0xE85B87CA00
• Base-36: CQGKEIO0

Squares and roots of 997968038400

• 997968038400 squared (997968038400²) is 995940205667943874560000
• 997968038400 cubed (997968038400³) is 993916493414130510255938863104000000
• The square root of 997968038400 is 998983.5025664839
• The cube root of 997968038400 is 9993.2222018497

Scales and comparisons

• 997,968,038,400 seconds is equal to 31,732 years, 15 weeks, 3 days.
• To count from 1 to 997,968,038,400 would take you about sixty-three thousand, four hundred sixty-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 997968038400 cubic inches would be around 832.8 feet tall.

Recreational maths with 997968038400

• 997968038400 backwards is 004830869799
• The number of decimal digits it has is: 12
• The sum of 997968038400's digits is 63
• More coming soon!