117198900
117,198,900 is an even composite number composed of six prime numbers multiplied together.
What does the number 117198900 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
117198900 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 117198900:
22 × 35 × 52 × 7 × 13 × 53
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 53)See below for interesting mathematical facts about the number 117198900 from the Numbermatics database.
Names of 117198900
- Cardinal: 117198900 can be written as One hundred seventeen million, one hundred ninety-eight thousand, nine hundred.
Scientific notation
- Scientific notation: 1.171989 × 108
Factors of 117198900
Divisors of 117198900
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 25 26 27 28 30 35 36 39 42 45 50 52 53 54 60 63 65 70 75 78 81 84 90 91 100 105 106 108 117 126 130 135 140 150 156 159 162 175 180 182 189 195 210 212 225 234 243 252 260 265 270 273 300 315 318 324 325 350 351 364 371 378 390 405 420 450 455 468 477 486 525 530 540 546 567 585 630 636 650 675 689 700 702 742 756 780 795 810 819 900 910 945 954 972 975 1050 1053 1060 1092 1113 1134 1170 1215 1260 1300 1325 1350 1365 1378 1404 1431 1484 1575 1590 1620 1638 1701 1755 1820 1855 1890 1908 1950 2025 2067 2100 2106 2226 2268 2275 2340 2385 2430 2457 2650 2700 2730 2756 2835 2862 2925 3150 3159 3180 3276 3339 3402 3445 3510 3710 3780 3900 3975 4050 4095 4134 4212 4293 4452 4550 4725 4770 4823 4860 4914 5265 5300 5460 5565 5670 5724 5850 6075 6201 6300 6318 6678 6804 6825 6890 7020 7155 7371 7420 7950 8100 8190 8268 8505 8586 8775 9100 9275 9450 9540 9646 9828 10017 10335 10530 11130 11340 11700 11925 12150 12285 12402 12636 12879 13356 13650 13780 14175 14310 14469 14742 15795 15900 16380 16695 17010 17172 17225 17550 18550 18603 18900 19292 20034 20475 20670 21060 21465 22113 22260 23850 24115 24300 24570 24804 25758 26325 27300 27825 28350 28620 28938 29484 30051 31005 31590 33390 34020 34450 35100 35775 36855 37100 37206 40068 40950 41340 42525 42930 43407 44226 47700 48230 49140 50085 51516 51675 52650 55650 55809 56700 57876 60102 61425 62010 63180 64395 66780 68900 71550 72345 73710 74412 78975 81900 83475 85050 85860 86814 88452 90153 93015 96460 100170 103350 105300 107325 110565 111300 111618 120204 120575 122850 124020 128790 130221 143100 144690 147420 150255 155025 157950 166950 167427 170100 173628 180306 184275 186030 200340 206700 214650 217035 221130 223236 241150 245700 250425 257580 260442 279045 289380 300510 310050 315900 321975 333900 334854 360612 361725 368550 372060 390663 429300 434070 442260 450765 465075 482300 500850 520884 552825 558090 601020 620100 643950 651105 669708 723450 737100 751275 781326 837135 868140 901530 930150 1001700 1085175 1105650 1116180 1171989 1287900 1302210 1395225 1446900 1502550 1562652 1674270 1803060 1860300 1953315 2170350 2211300 2253825 2343978 2604420 2790450 3005100 3255525 3348540 3906630 4185675 4340700 4507650 4687956 5580900 5859945 6511050 7813260 8371350 9015300 9766575 11719890 13022100 16742700 19533150 23439780 29299725 39066300 58599450 117198900
- Sum of all divisors σ(n): 477719424
- Sum of proper divisors (its aliquot sum) s(n): 360520524
- 117198900 is an abundant number, because the sum of its proper divisors (360520524) is greater than itself. Its abundance is 243321624
Bases of 117198900
- Binary: 1101111110001010000001101002
- Hexadecimal: 0x6FC5034
- Base-36: 1XRZ90
Squares and roots of 117198900
- 117198900 squared (1171989002) is 13735582161210000
- 117198900 cubed (1171989003) is 1609795120153434669000000
-
The
square root of 117198900 is 10825.8440779461 -
The
cube root of 117198900 is 489.3743228951
Scales and comparisons
How big is 117198900?- 117,198,900 seconds is equal to 3 years, 37 weeks, 5 days, 11 hours, 15 minutes.
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To count from 1 to 117,198,900 would take you about five 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 117198900 cubic inches would be around 40.8 feet tall.
Recreational maths with 117198900
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