132971904000
132,971,904,000 is an even composite number composed of five prime numbers multiplied together.
132971904000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 132971904000:
210 × 32 × 53 × 132 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 683)See below for interesting mathematical facts about the number 132971904000 from the Numbermatics database.
Names of 132971904000
- Cardinal: 132971904000 can be written as One hundred thirty-two billion, nine hundred seventy-one million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.32971904 × 1011
Factors of 132971904000
Divisors of 132971904000
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 338 360 375 384 390 400 416 450 468 480 500 507 512 520 576 585 600 624 640 650 676 683 720 750 768 780 800 832 845 900 936 960 975 1000 1014 1024 1040 1125 1152 1170 1200 1248 1280 1300 1352 1366 1440 1500 1521 1536 1560 1600 1625 1664 1690 1800 1872 1920 1950 2000 2028 2049 2080 2250 2304 2340 2400 2496 2535 2560 2600 2704 2732 2880 2925 3000 3042 3072 3120 3200 3250 3328 3380 3415 3600 3744 3840 3900 4000 4056 4098 4160 4225 4500 4608 4680 4800 4875 4992 5070 5120 5200 5408 5464 5760 5850 6000 6084 6147 6240 6400 6500 6656 6760 6830 7200 7488 7605 7680 7800 8000 8112 8196 8320 8450 8879 9000 9216 9360 9600 9750 9984 10140 10245 10400 10816 10928 11520 11700 12000 12168 12294 12480 12675 12800 13000 13312 13520 13660 14400 14625 14976 15210 15360 15600 16000 16224 16392 16640 16900 17075 17758 18000 18720 19200 19500 19968 20280 20490 20800 21125 21632 21856 23040 23400 24000 24336 24588 24960 25350 25600 26000 26637 27040 27320 28800 29250 29952 30420 30735 31200 32000 32448 32784 33280 33800 34150 35516 36000 37440 38025 38400 39000 39936 40560 40980 41600 42250 43264 43712 44395 46080 46800 48000 48672 49176 49920 50700 51225 52000 53274 54080 54640 57600 58500 59904 60840 61470 62400 63375 64000 64896 65568 66560 67600 68300 71032 72000 74880 76050 76800 78000 79911 81120 81960 83200 84500 85375 86528 87424 88790 93600 96000 97344 98352 99840 101400 102450 104000 106548 108160 109280 115200 115427 117000 119808 121680 122940 124800 126750 128000 129792 131136 133185 135200 136600 142064 144000 149760 152100 153675 156000 159822 162240 163920 166400 169000 170750 173056 174848 177580 187200 190125 192000 194688 196704 199680 202800 204900 208000 213096 216320 218560 221975 230400 230854 234000 243360 245880 249600 253500 256125 259584 262272 266370 270400 273200 284128 288000 299520 304200 307350 312000 319644 324480 327840 332800 338000 341500 346281 349696 355160 374400 380250 384000 389376 393408 399555 405600 409800 416000 426192 432640 437120 443950 461708 468000 486720 491760 499200 507000 512250 519168 524544 532740 540800 546400 568256 576000 577135 599040 608400 614700 624000 639288 648960 655680 665925 676000 683000 692562 699392 710320 748800 760500 768375 778752 786816 799110 811200 819600 832000 852384 865280 874240 887900 923416 936000 973440 983520 998400 1014000 1024500 1038843 1049088 1065480 1081600 1092800 1109875 1136512 1152000 1154270 1216800 1229400 1248000 1278576 1297920 1311360 1331850 1352000 1366000 1385124 1420640 1497600 1521000 1536750 1557504 1573632 1598220 1622400 1639200 1664000 1704768 1731405 1748480 1775800 1846832 1872000 1946880 1967040 1997775 2028000 2049000 2077686 2098176 2130960 2163200 2185600 2219750 2273024 2308540 2433600 2458800 2496000 2557152 2595840 2622720 2663700 2704000 2732000 2770248 2841280 2885675 2995200 3042000 3073500 3147264 3196440 3244800 3278400 3329625 3409536 3462810 3496960 3551600 3693664 3744000 3893760 3934080 3995550 4056000 4098000 4155372 4261920 4326400 4371200 4439500 4546048 4617080 4867200 4917600 4992000 5114304 5194215 5245440 5327400 5408000 5464000 5540496 5682560 5771350 6084000 6147000 6294528 6392880 6489600 6556800 6659250 6819072 6925620 7103200 7387328 7488000 7787520 7868160 7991100 8112000 8196000 8310744 8523840 8657025 8742400 8879000 9092096 9234160 9734400 9835200 9988875 10228608 10388430 10490880 10654800 10816000 10928000 11080992 11365120 11542700 12168000 12294000 12785760 12979200 13113600 13318500 13638144 13851240 14206400 14428375 14774656 14976000 15736320 15982200 16224000 16392000 16621488 17047680 17314050 17484800 17758000 18468320 19468800 19670400 19977750 20457216 20776860 21309600 21632000 21856000 22161984 22730240 23085400 24336000 24588000 25571520 25971075 26227200 26637000 27276288 27702480 28412800 28856750 29549312 31472640 31964400 32448000 32784000 33242976 34095360 34628100 35516000 36936640 38937600 39340800 39955500 40914432 41553720 42619200 43285125 43712000 44323968 45460480 46170800 48672000 49176000 51143040 51942150 52454400 53274000 55404960 56825600 57713500 59098624 63928800 64896000 65568000 66485952 68190720 69256200 71032000 73873280 78681600 79911000 81828864 83107440 85238400 86570250 87424000 88647936 92341600 97344000 98352000 102286080 103884300 106548000 110809920 113651200 115427000 118197248 127857600 129855375 131136000 132971904 136381440 138512400 142064000 147746560 157363200 159822000 166214880 170476800 173140500 177295872 184683200 194688000 196704000 204572160 207768600 213096000 221619840 227302400 230854000 255715200 259710750 262272000 265943808 277024800 284128000 295493120 319644000 332429760 340953600 346281000 354591744 369366400 393408000 409144320 415537200 426192000 443239680 461708000 511430400 519421500 531887616 554049600 568256000 590986240 639288000 664859520 681907200 692562000 738732800 786816000 831074400 852384000 886479360 923416000 1022860800 1038843000 1063775232 1108099200 1136512000 1278576000 1329719040 1385124000 1477465600 1662148800 1704768000 1772958720 1846832000 2045721600 2077686000 2216198400 2557152000 2659438080 2770248000 2954931200 3324297600 3409536000 3693664000 4155372000 4432396800 5114304000 5318876160 5540496000 6648595200 7387328000 8310744000 8864793600 10228608000 11080992000 13297190400 14774656000 16621488000 22161984000 26594380800 33242976000 44323968000 66485952000 132971904000
- Sum of all divisors σ(n): 519628526352
- Sum of proper divisors (its aliquot sum) s(n): 386656622352
- 132971904000 is an abundant number, because the sum of its proper divisors (386656622352) is greater than itself. Its abundance is 253684718352
Bases of 132971904000
- Binary: 11110111101011011111000111100000000002
- Hexadecimal: 0x1EF5BE3C00
- Base-36: 1P341DS0
Squares and roots of 132971904000
- 132971904000 squared (1329719040002) is 17681527253385216000000
- 132971904000 cubed (1329719040003) is 2351146344510522616971264000000000
-
The
square root of 132971904000 is 364653.1283288271 -
The
cube root of 132971904000 is 5104.1092602141
Scales and comparisons
How big is 132971904000?- 132,971,904,000 seconds is equal to 4,228 years, 4 weeks, 6 days, 16 hours.
-
To count from 1 to 132,971,904,000 would take you about eight thousand, four hundred fifty-six 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 132971904000 cubic inches would be around 425.3 feet tall.
Recreational maths with 132971904000
- 132971904000 backwards is 000409179231
- 132971904000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132971904000's digits is 36
- More coming soon!
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