131441868900
131,441,868,900 is an even composite number composed of six prime numbers multiplied together.
What does the number 131441868900 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 324 divisors.
131441868900 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 131441868900:
22 × 32 × 52 × 192 × 137 × 2953
(2 × 2 × 3 × 3 × 5 × 5 × 19 × 19 × 137 × 2953)See below for interesting mathematical facts about the number 131441868900 from the Numbermatics database.
Names of 131441868900
- Cardinal: 131441868900 can be written as One hundred thirty-one billion, four hundred forty-one million, eight hundred sixty-eight thousand, nine hundred.
Scientific notation
- Scientific notation: 1.314418689 × 1011
Factors of 131441868900
Divisors of 131441868900
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 137 150 171 180 190 225 228 274 285 300 342 361 380 411 450 475 548 570 684 685 722 822 855 900 950 1083 1140 1233 1370 1425 1444 1644 1710 1805 1900 2055 2166 2466 2603 2740 2850 2953 3249 3420 3425 3610 4110 4275 4332 4932 5206 5415 5700 5906 6165 6498 6850 7220 7809 8220 8550 8859 9025 10275 10412 10830 11812 12330 12996 13015 13700 14765 15618 16245 17100 17718 18050 20550 21660 23427 24660 26030 26577 27075 29530 30825 31236 32490 35436 36100 39045 41100 44295 46854 49457 52060 53154 54150 56107 59060 61650 64980 65075 73825 78090 81225 88590 93708 98914 106308 108300 112214 117135 123300 130150 132885 147650 148371 156180 162450 168321 177180 195225 197828 221475 224428 234270 247285 260300 265770 280535 295300 296742 324900 336642 390450 404561 442950 445113 468540 494570 504963 531540 561070 585675 593484 664425 673284 741855 780900 809122 841605 885900 890226 989140 1009926 1066033 1122140 1171350 1213683 1236425 1328850 1402675 1483710 1618244 1683210 1780452 2019852 2022805 2132066 2225565 2342700 2427366 2472850 2524815 2657700 2805350 2967420 3198099 3366420 3641049 3709275 4045610 4208025 4264132 4451130 4854732 4945700 5049630 5330165 5610700 6068415 6396198 7282098 7418550 7686659 8091220 8416050 8902260 9594297 10099260 10114025 10660330 11127825 12136830 12624075 12792396 14564196 14837100 15373318 15990495 16832100 18205245 19188594 20228050 21320660 22255650 23059977 24273660 25248150 26650825 30342075 30746636 31980990 36410490 38377188 38433295 40456100 44511300 46119954 47971485 50496300 53301650 60684150 63961980 69179931 72820980 76866590 79952475 91026225 92239908 95942970 106603300 115299885 121368300 138359862 146046521 153733180 159904950 182052450 191885940 192166475 230599770 239857425 276719724 292093042 319809900 345899655 364104900 384332950 438139563 461199540 479714850 576499425 584186084 691799310 730232605 768665900 876279126 959429700 1152998850 1314418689 1383598620 1460465210 1729498275 1752558252 2190697815 2305997700 2628837378 2920930420 3458996550 3651163025 4381395630 5257674756 6572093445 6917993100 7302326050 8762791260 10953489075 13144186890 14604652100 21906978150 26288373780 32860467225 43813956300 65720934450 131441868900
- Sum of all divisors σ(n): 438144777252
- Sum of proper divisors (its aliquot sum) s(n): 306702908352
- 131441868900 is an abundant number, because the sum of its proper divisors (306702908352) is greater than itself. Its abundance is 175261039452
Bases of 131441868900
- Binary: 11110100110101000101111000000011001002
- Hexadecimal: 0x1E9A8BC064
- Base-36: 1ODT3F50
Squares and roots of 131441868900
- 131441868900 squared (1314418689002) is 17276964899924787210000
- 131441868900 cubed (1314418689003) is 2270916555365815500317216769000000
-
The
square root of 131441868900 is 362549.1261884379 -
The
cube root of 131441868900 is 5084.4569574079
Scales and comparisons
How big is 131441868900?- 131,441,868,900 seconds is equal to 4,179 years, 23 weeks, 22 hours, 15 minutes.
-
To count from 1 to 131,441,868,900 would take you about eight thousand, three hundred fifty-eight 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 131441868900 cubic inches would be around 423.7 feet tall.
Recreational maths with 131441868900
- 131441868900 backwards is 009868144131
- 131441868900 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131441868900's digits is 45
- More coming soon!
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