3997952640
3,997,952,640 is an even composite number composed of six prime numbers multiplied together.
3997952640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 3997952640:
27 × 36 × 5 × 11 × 19 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 19 × 41)See below for interesting mathematical facts about the number 3997952640 from the Numbermatics database.
Names of 3997952640
- Cardinal: 3997952640 can be written as Three billion, nine hundred ninety-seven million, nine hundred fifty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.99795264 × 109
Factors of 3997952640
Divisors of 3997952640
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 32 33 36 38 40 41 44 45 48 54 55 57 60 64 66 72 76 80 81 82 88 90 95 96 99 108 110 114 120 123 128 132 135 144 152 160 162 164 165 171 176 180 190 192 198 205 209 216 220 228 240 243 246 264 270 285 288 297 304 320 324 328 330 342 352 360 369 380 384 396 405 410 418 432 440 451 456 480 486 492 495 513 528 540 570 576 594 608 615 627 640 648 656 660 684 704 720 729 738 760 779 792 810 820 836 855 864 880 891 902 912 960 972 984 990 1026 1045 1056 1080 1107 1140 1152 1188 1215 1216 1230 1254 1296 1312 1320 1353 1368 1408 1440 1458 1476 1485 1520 1539 1558 1584 1620 1640 1672 1710 1728 1760 1782 1804 1824 1845 1881 1920 1944 1968 1980 2052 2090 2112 2160 2214 2255 2280 2337 2376 2430 2432 2460 2508 2565 2592 2624 2640 2673 2706 2736 2880 2916 2952 2970 3040 3078 3116 3135 3168 3240 3280 3321 3344 3420 3456 3520 3564 3608 3645 3648 3690 3762 3888 3895 3936 3960 4059 4104 4180 4224 4320 4428 4455 4510 4560 4617 4674 4752 4860 4920 5016 5130 5184 5248 5280 5346 5412 5472 5535 5643 5760 5832 5904 5940 6080 6156 6232 6270 6336 6480 6560 6642 6688 6765 6840 7011 7040 7128 7216 7290 7296 7380 7524 7695 7776 7790 7872 7920 8019 8118 8208 8360 8569 8640 8856 8910 9020 9120 9234 9348 9405 9504 9720 9840 9963 10032 10260 10368 10560 10692 10824 10944 11070 11286 11664 11685 11808 11880 12160 12177 12312 12464 12540 12672 12960 13120 13284 13365 13376 13530 13680 13851 14022 14256 14432 14580 14760 15048 15390 15552 15580 15744 15840 16038 16236 16416 16605 16720 16929 17138 17280 17712 17820 18040 18240 18468 18696 18810 19008 19440 19680 19926 20064 20295 20520 21033 21120 21384 21648 21888 22140 22572 23085 23328 23370 23616 23760 24354 24624 24928 25080 25707 25920 26240 26568 26730 26752 27060 27360 27702 28044 28215 28512 28864 29160 29520 29889 30096 30780 31104 31160 31680 32076 32472 32832 33210 33440 33858 34276 35055 35424 35640 36080 36480 36531 36936 37392 37620 38016 38880 39360 39852 40095 40128 40590 41040 42066 42768 42845 43296 44280 45144 46170 46656 46740 47232 47520 48708 49248 49815 49856 50160 50787 51414 51840 53136 53460 54120 54720 55404 56088 56430 57024 57728 58320 59040 59778 60192 60885 61560 62320 63099 63360 64152 64944 65664 66420 66880 67716 68552 69255 70110 70848 71280 72160 73062 73872 74784 75240 77121 77760 78720 79704 80190 80256 81180 82080 84132 84645 85536 85690 86592 88560 90288 92340 93312 93480 95040 97416 98496 99630 99712 100320 101574 102828 105165 106272 106920 108240 109440 109593 110808 112176 112860 114048 116640 118080 119556 120384 121770 123120 124640 126198 128304 128535 129888 132840 133760 135432 137104 138510 140220 141696 142560 144320 146124 147744 149445 149568 150480 152361 154242 155520 159408 160380 162360 164160 168264 169290 171072 171380 173184 177120 180576 182655 184680 186960 189297 190080 194832 196992 199260 200640 203148 205656 210330 212544 213840 216480 219186 221616 224352 225720 231363 233280 236160 239112 240768 243540 246240 249280 252396 253935 256608 257070 259776 265680 270864 274208 277020 280440 285120 288640 292248 295488 298890 299136 300960 304722 308484 315495 318816 320760 324720 328320 328779 336528 338580 342144 342760 354240 361152 365310 369360 373920 378594 385605 389664 398520 401280 406296 411312 420660 425088 427680 432960 438372 443232 448704 451440 462726 466560 478224 487080 492480 498560 504792 507870 513216 514140 519552 531360 541728 547965 548416 554040 560880 567891 570240 584496 590976 597780 601920 609444 616968 630990 637632 641520 649440 657558 673056 677160 685520 694089 708480 722304 730620 738720 747840 757188 761805 771210 779328 797040 812592 822624 841320 855360 865920 876744 886464 897408 902880 925452 946485 956448 974160 984960 1009584 1015740 1026432 1028280 1062720 1083456 1095930 1096832 1108080 1121760 1135782 1156815 1168992 1195560 1203840 1218888 1233936 1261980 1275264 1283040 1298880 1315116 1346112 1354320 1371040 1388178 1461240 1477440 1495680 1514376 1523610 1542420 1558656 1594080 1625184 1643895 1645248 1682640 1710720 1753488 1772928 1805760 1850904 1892970 1912896 1948320 2019168 2031480 2056560 2082267 2125440 2166912 2191860 2216160 2243520 2271564 2313630 2337984 2391120 2437776 2467872 2523960 2566080 2597760 2630232 2692224 2708640 2742080 2776356 2839455 2922480 2954880 3028752 3047220 3084840 3188160 3250368 3287790 3290496 3365280 3470445 3506976 3611520 3701808 3785940 3825792 3896640 4038336 4062960 4113120 4164534 4383720 4432320 4487040 4543128 4627260 4675968 4782240 4875552 4935744 5047920 5132160 5260464 5417280 5484160 5552712 5678910 5844960 6057504 6094440 6169680 6246801 6376320 6500736 6575580 6730560 6940890 7013952 7403616 7571880 7793280 8076672 8125920 8226240 8329068 8767440 8864640 9086256 9254520 9564480 9751104 9871488 10095840 10411335 10520928 10834560 11105424 11357820 11689920 12115008 12188880 12339360 12493602 13151160 13461120 13881780 14027904 14807232 15143760 16251840 16452480 16658136 17534880 18172512 18509040 19128960 19502208 20191680 20822670 21041856 22210848 22715640 23379840 24230016 24377760 24678720 24987204 26302320 27763560 29614464 30287520 31234005 32503680 33316272 35069760 36345024 37018080 40383360 41645340 42083712 44421696 45431280 48755520 49357440 49974408 52604640 55527120 60575040 62468010 66632544 70139520 72690048 74036160 83290680 88843392 90862560 97511040 99948816 105209280 111054240 121150080 124936020 133265088 148072320 166581360 181725120 199897632 210418560 222108480 249872040 266530176 333162720 363450240 399795264 444216960 499744080 666325440 799590528 999488160 1332650880 1998976320 3997952640
- Sum of all divisors σ(n): 16856683200
- Sum of proper divisors (its aliquot sum) s(n): 12858730560
- 3997952640 is an abundant number, because the sum of its proper divisors (12858730560) is greater than itself. Its abundance is 8860777920
Bases of 3997952640
- Binary: 111011100100101111101010100000002
- Hexadecimal: 0xEE4BEA80
- Base-36: 1U4A000
Squares and roots of 3997952640
- 3997952640 squared (39979526402) is 15983625311682969600
- 3997952640 cubed (39979526403) is 63901777011613751155359744000
-
The
square root of 3997952640 is 63229.3653297263 -
The
cube root of 3997952640 is 1587.1301739629
Scales and comparisons
How big is 3997952640?- 3,997,952,640 seconds is equal to 127 years, 6 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 3,997,952,640 would take you about two hundred fifty-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 3997952640 cubic inches would be around 132.3 feet tall.
Recreational maths with 3997952640
- 3997952640 backwards is 0462597993
- 3997952640 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 3997952640's digits is 54
- More coming soon!
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