997064640
997,064,640 is an even composite number composed of six prime numbers multiplied together.
997064640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 997064640:
26 × 34 × 5 × 11 × 13 × 269
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 269)See below for interesting mathematical facts about the number 997064640 from the Numbermatics database.
Names of 997064640
- Cardinal: 997064640 can be written as Nine hundred ninety-seven million, sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 9.9706464 × 108
Factors of 997064640
Divisors of 997064640
- Number of divisors d(n): 560
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 64 65 66 72 78 80 81 88 90 96 99 104 108 110 117 120 130 132 135 143 144 156 160 162 165 176 180 192 195 198 208 216 220 234 240 260 264 269 270 286 288 297 312 320 324 330 351 352 360 390 396 405 416 429 432 440 468 480 495 520 528 538 540 572 576 585 594 624 648 660 702 704 715 720 780 792 807 810 832 858 864 880 891 936 960 990 1040 1053 1056 1076 1080 1144 1170 1188 1248 1287 1296 1320 1345 1404 1430 1440 1485 1560 1584 1614 1620 1716 1728 1755 1760 1782 1872 1980 2080 2106 2112 2145 2152 2160 2288 2340 2376 2421 2496 2574 2592 2640 2690 2808 2860 2880 2959 2970 3120 3168 3228 3240 3432 3497 3510 3520 3564 3744 3861 3960 4035 4160 4212 4290 4304 4320 4455 4576 4680 4752 4842 5148 5184 5265 5280 5380 5616 5720 5918 5940 6240 6336 6435 6456 6480 6864 6994 7020 7128 7263 7488 7722 7920 8070 8424 8580 8608 8640 8877 8910 9152 9360 9504 9684 10296 10491 10530 10560 10760 11232 11440 11583 11836 11880 12105 12480 12870 12912 12960 13728 13988 14040 14256 14526 14795 15444 15840 16140 16848 17160 17216 17485 17754 17820 18720 19008 19305 19368 20592 20982 21060 21520 21789 22464 22880 23166 23672 23760 24210 25740 25824 25920 26631 27456 27976 28080 28512 29052 29590 30888 31473 31680 32280 33696 34320 34970 35508 35640 36315 37440 38467 38610 38736 41184 41964 42120 43040 43578 44385 45760 46332 47344 47520 48420 51480 51648 52455 53262 55952 56160 57024 57915 58104 59180 61776 62946 64560 67392 68640 69940 71016 71280 72630 76934 77220 77472 79893 82368 83928 84240 86080 87156 88770 92664 94419 94688 95040 96840 102960 104910 106524 108945 111904 112320 115401 115830 116208 118360 123552 125892 129120 133155 137280 139880 142032 142560 145260 153868 154440 154944 157365 159786 167856 168480 174312 177540 185328 188838 189376 192335 193680 205920 209820 213048 217890 223808 230802 231660 232416 236720 239679 247104 251784 258240 266310 279760 283257 284064 285120 290520 307736 308880 314730 319572 335712 336960 346203 348624 355080 370656 377676 384670 387360 399465 411840 419640 426096 435780 461604 463320 464832 472095 473440 479358 503568 532620 559520 566514 568128 577005 581040 615472 617760 629460 639144 671424 692406 697248 710160 741312 755352 769340 774720 798930 839280 852192 871560 923208 926640 944190 946880 958716 1007136 1038609 1065240 1119040 1133028 1154010 1162080 1198395 1230944 1235520 1258920 1278288 1384812 1394496 1416285 1420320 1510704 1538680 1597860 1678560 1704384 1731015 1743120 1846416 1853280 1888380 1917432 2014272 2077218 2130480 2266056 2308020 2324160 2396790 2461888 2517840 2556576 2769624 2832570 2840640 3021408 3077360 3115827 3195720 3357120 3462030 3486240 3692832 3706560 3776760 3834864 4154436 4260960 4532112 4616040 4793580 5035680 5113152 5193045 5539248 5665140 6042816 6154720 6231654 6391440 6924060 6972480 7385664 7553520 7669728 8308872 8521920 9064224 9232080 9587160 10071360 10386090 11078496 11330280 12309440 12463308 12782880 13848120 15107040 15339456 15579135 16617744 18128448 18464160 19174320 20772180 22156992 22660560 24926616 25565760 27696240 30214080 31158270 33235488 36928320 38348640 41544360 45321120 49853232 55392480 62316540 66470976 76697280 83088720 90642240 99706464 110784960 124633080 166177440 199412928 249266160 332354880 498532320 997064640
- Sum of all divisors σ(n): 4182282720
- Sum of proper divisors (its aliquot sum) s(n): 3185218080
- 997064640 is an abundant number, because the sum of its proper divisors (3185218080) is greater than itself. Its abundance is 2188153440
Bases of 997064640
- Binary: 1110110110110111111111110000002
- Hexadecimal: 0x3B6DFFC0
- Base-36: GHMK00
Squares and roots of 997064640
- 997064640 squared (9970646402) is 994137896338329600
- 997064640 cubed (9970646403) is 991219743722933920825344000
-
The
square root of 997064640 is 31576.3303757735 -
The
cube root of 997064640 is 999.0205877315
Scales and comparisons
How big is 997064640?- 997,064,640 seconds is equal to 31 years, 36 weeks, 4 days, 2 hours, 24 minutes.
-
To count from 1 to 997,064,640 would take you about forty-seven 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 997064640 cubic inches would be around 83.3 feet tall.
Recreational maths with 997064640
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