668208420
668,208,420 is an even composite number composed of seven prime numbers multiplied together.
668208420 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 668208420:
22 × 33 × 5 × 11 × 23 × 67 × 73
(2 × 2 × 3 × 3 × 3 × 5 × 11 × 23 × 67 × 73)See below for interesting mathematical facts about the number 668208420 from the Numbermatics database.
Names of 668208420
- Cardinal: 668208420 can be written as Six hundred sixty-eight million, two hundred eight thousand, four hundred twenty.
Scientific notation
- Scientific notation: 6.6820842 × 108
Factors of 668208420
Divisors of 668208420
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 27 30 33 36 44 45 46 54 55 60 66 67 69 73 90 92 99 108 110 115 132 134 135 138 146 165 180 198 201 207 219 220 230 253 268 270 276 292 297 330 335 345 365 396 402 414 438 460 495 506 540 594 603 621 657 660 670 690 730 737 759 803 804 828 876 990 1005 1012 1035 1095 1188 1206 1242 1265 1314 1340 1380 1460 1474 1485 1518 1541 1606 1679 1809 1971 1980 2010 2070 2190 2211 2277 2409 2412 2484 2530 2628 2948 2970 3015 3036 3082 3105 3212 3285 3358 3618 3685 3795 3942 4015 4020 4140 4380 4422 4554 4623 4818 4891 5037 5060 5940 6030 6164 6210 6570 6633 6716 6831 7227 7236 7370 7590 7705 7884 8030 8395 8844 9045 9108 9246 9636 9782 9855 10074 11055 11385 12045 12060 12420 13140 13266 13662 13869 14454 14673 14740 15111 15180 15410 16060 16790 16951 18090 18469 18492 19564 19710 19899 20148 21681 22110 22770 23115 24090 24455 25185 26532 27324 27738 28908 29346 30222 30820 33165 33580 33902 34155 36135 36180 36938 39420 39798 41607 43362 44019 44220 45333 45540 46230 48180 48910 50370 50853 53801 55407 55476 58692 60444 66330 67804 68310 69345 72270 73365 73876 75555 79596 83214 84755 86724 88038 90666 92345 92460 97820 99495 100740 101706 107602 108405 110814 112493 132057 132660 136620 138690 144540 146730 151110 152559 161403 166221 166428 169510 176076 181332 184690 198990 203412 208035 215204 216810 220095 221628 224986 226665 254265 264114 269005 277035 277380 293460 302220 305118 322806 332442 337479 339020 369380 397980 416070 433620 440190 449972 453330 457677 484209 498663 508530 528228 538010 554070 562465 610236 645612 660285 664884 674958 762795 807015 831105 832140 880380 906660 915354 968418 997326 1012437 1017060 1076020 1108140 1124930 1237423 1320570 1349916 1452627 1525590 1614030 1662210 1687395 1830708 1936836 1994652 2024874 2249860 2288385 2421045 2474846 2493315 2641140 2905254 3037311 3051180 3228060 3324420 3374790 3712269 4049748 4576770 4842090 4949692 4986630 5062185 5810508 6074622 6187115 6749580 7263135 7424538 9153540 9684180 9973260 10124370 11136807 12149244 12374230 14526270 14849076 15186555 18561345 20248740 22273614 24748460 29052540 30373110 33410421 37122690 44547228 55684035 60746220 66820842 74245380 111368070 133641684 167052105 222736140 334104210 668208420
- Sum of all divisors σ(n): 2434682880
- Sum of proper divisors (its aliquot sum) s(n): 1766474460
- 668208420 is an abundant number, because the sum of its proper divisors (1766474460) is greater than itself. Its abundance is 1098266040
Bases of 668208420
- Binary: 1001111101010000001101001001002
- Hexadecimal: 0x27D40D24
- Base-36: B1U0X0
Squares and roots of 668208420
- 668208420 squared (6682084202) is 446502492558896400
- 668208420 cubed (6682084203) is 298356725078841920387688000
-
The
square root of 668208420 is 25849.7276581399 -
The
cube root of 668208420 is 874.2533690731
Scales and comparisons
How big is 668208420?- 668,208,420 seconds is equal to 21 years, 12 weeks, 5 days, 21 hours, 27 minutes.
-
To count from 1 to 668,208,420 would take you about thirty-one 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 668208420 cubic inches would be around 72.9 feet tall.
Recreational maths with 668208420
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