131328648000
131,328,648,000 is an even composite number composed of six prime numbers multiplied together.
131328648000 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 131328648000:
26 × 33 × 53 × 11 × 31 × 1783
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 31 × 1783)See below for interesting mathematical facts about the number 131328648000 from the Numbermatics database.
Names of 131328648000
- Cardinal: 131328648000 can be written as One hundred thirty-one billion, three hundred twenty-eight million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.31328648 × 1011
Factors of 131328648000
Divisors of 131328648000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 60 62 64 66 72 75 80 88 90 93 96 99 100 108 110 120 124 125 132 135 144 150 155 160 165 176 180 186 192 198 200 216 220 225 240 248 250 264 270 275 279 288 297 300 310 320 330 341 352 360 372 375 396 400 432 440 450 465 480 495 496 500 528 540 550 558 576 594 600 620 660 675 682 704 720 744 750 775 792 800 825 837 864 880 900 930 960 990 992 1000 1023 1056 1080 1100 1116 1125 1188 1200 1240 1320 1350 1364 1375 1395 1440 1485 1488 1500 1550 1584 1600 1650 1674 1705 1728 1760 1783 1800 1860 1980 1984 2000 2046 2112 2160 2200 2232 2250 2325 2376 2400 2475 2480 2640 2700 2728 2750 2790 2880 2970 2976 3000 3069 3100 3168 3300 3348 3375 3410 3520 3566 3600 3720 3875 3960 4000 4092 4125 4185 4320 4400 4464 4500 4650 4752 4800 4950 4960 5115 5280 5349 5400 5456 5500 5580 5940 5952 6000 6138 6200 6336 6600 6696 6750 6820 6975 7132 7200 7425 7440 7750 7920 8000 8184 8250 8370 8525 8640 8800 8915 8928 9000 9207 9300 9504 9900 9920 10230 10560 10698 10800 10912 11000 11160 11625 11880 12000 12276 12375 12400 13200 13392 13500 13640 13950 14264 14400 14850 14880 15345 15500 15840 16047 16368 16500 16740 17050 17600 17830 17856 18000 18414 18600 19008 19613 19800 20460 20925 21396 21600 21824 22000 22320 23250 23760 24000 24552 24750 24800 25575 26400 26745 26784 27000 27280 27900 28528 29700 29760 30690 31000 31680 32094 32736 33000 33480 34100 34875 35660 36000 36828 37125 37200 39226 39600 40920 41850 42625 42792 43200 44000 44575 44640 46035 46500 47520 48141 49104 49500 49600 51150 52800 53490 53568 54000 54560 55273 55800 57056 58839 59400 61380 62000 64188 65472 66000 66960 68200 69750 71320 72000 73656 74250 74400 76725 78452 79200 80235 81840 83700 85250 85584 88000 89150 89280 92070 93000 95040 96282 98065 98208 99000 102300 104625 106980 108000 109120 110546 111600 114112 117678 118800 122760 124000 127875 128376 132000 133725 133920 136400 139500 142640 147312 148500 148800 153450 156904 158400 160470 163680 165819 167400 170500 171168 176517 178300 184140 186000 192564 196130 196416 198000 204600 209250 213960 216000 221092 222875 223200 230175 235356 237600 240705 245520 248000 255750 256752 264000 267450 267840 272800 276365 279000 285280 294195 294624 297000 306900 313808 320940 327360 331638 334800 341000 342336 353034 356600 368280 372000 383625 385128 392260 396000 401175 409200 418500 427920 442184 445750 446400 460350 470712 475200 481410 490325 491040 497457 511500 513504 529551 534900 545600 552730 558000 570560 588390 589248 594000 608003 613800 627616 641880 663276 668625 669600 682000 706068 713200 736560 744000 767250 770256 784520 792000 802350 818400 829095 837000 855840 882585 884368 891500 920700 941424 962820 980650 982080 994914 1023000 1027008 1059102 1069800 1105460 1116000 1150875 1176780 1188000 1203525 1216006 1227600 1255232 1283760 1326552 1337250 1339200 1364000 1381825 1412136 1426400 1470975 1473120 1492371 1534500 1540512 1569040 1604700 1636800 1658190 1674000 1711680 1765170 1768736 1783000 1824009 1841400 1882848 1925640 1961300 1989828 2005875 2046000 2118204 2139600 2210920 2232000 2301750 2353560 2376000 2407050 2432012 2451625 2455200 2487285 2567520 2647755 2653104 2674500 2728000 2763650 2824272 2852800 2941950 2946240 2984742 3040015 3069000 3081024 3138080 3209400 3316380 3348000 3530340 3537472 3566000 3648018 3682800 3765696 3851280 3922600 3979656 4011750 4092000 4145475 4236408 4279200 4412925 4421840 4603500 4707120 4814100 4864024 4903250 4910400 4974570 5135040 5295510 5306208 5349000 5472027 5527300 5648544 5883900 5969484 6017625 6080030 6138000 6276160 6418800 6632760 6696000 6909125 7060680 7132000 7296036 7354875 7365600 7461855 7702560 7845200 7959312 8023500 8184000 8290950 8472816 8558400 8825850 8843680 9120045 9207000 9414240 9628200 9728048 9806500 9949140 10591020 10612416 10698000 10944054 11054600 11297088 11767800 11938968 12035250 12160060 12276000 12436425 12837600 13238775 13265520 13818250 14121360 14264000 14592072 14709750 14731200 14923710 15200075 15405120 15690400 15918624 16047000 16416081 16581900 16945632 17651700 17687360 18240090 18414000 18828480 19256400 19456096 19613000 19898280 20727375 21182040 21396000 21888108 22064625 22109200 23535600 23877936 24070500 24320120 24552000 24872850 25675200 26477550 26531040 27360135 27636500 28242720 29184144 29419500 29847420 30400150 31380800 31837248 32094000 32832162 33163800 33891264 35303400 36480180 36828000 37309275 38512800 38912192 39226000 39796560 41454750 42364080 42792000 43776216 44129250 44218400 45600225 47071200 47755872 48141000 48640240 49745700 52955100 53062080 54720270 55273000 56485440 58368288 58839000 59694840 60800300 62182125 64188000 65664324 66193875 66327600 70606800 72960360 73656000 74618550 76000375 77025600 78452000 79593120 82080405 82909500 84728160 87552432 88258500 88436800 91200450 94142400 95511744 96282000 97280480 99491400 105910200 109440540 110546000 116736576 117678000 119389680 121600600 124364250 128376000 131328648 132387750 132655200 136800675 141213600 145920720 149237100 152000750 156904000 159186240 164160810 165819000 169456320 175104864 176517000 182400900 186546375 192564000 194560960 198982800 211820400 218881080 221092000 228001125 235356000 238779360 243201200 248728500 262657296 264775500 265310400 273601350 282427200 291841440 298474200 304001500 328321620 331638000 350209728 353034000 364801800 373092750 385128000 397965600 410402025 423640800 437762160 442184000 456002250 470712000 477558720 486402400 497457000 525314592 529551000 547202700 583682880 596948400 608003000 656643240 663276000 684003375 706068000 729603600 746185500 795931200 820804050 847281600 875524320 912004500 972804800 994914000 1050629184 1059102000 1094405400 1193896800 1216006000 1313286480 1326552000 1368006750 1412136000 1459207200 1492371000 1641608100 1751048640 1824009000 1989828000 2052010125 2118204000 2188810800 2387793600 2432012000 2626572960 2736013500 2918414400 2984742000 3283216200 3648018000 3979656000 4104020250 4236408000 4377621600 4864024000 5253145920 5472027000 5969484000 6566432400 7296036000 8208040500 8755243200 10944054000 11938968000 13132864800 14592072000 16416081000 21888108000 26265729600 32832162000 43776216000 65664324000 131328648000
- Sum of all divisors σ(n): 542893178880
- Sum of proper divisors (its aliquot sum) s(n): 411564530880
- 131328648000 is an abundant number, because the sum of its proper divisors (411564530880) is greater than itself. Its abundance is 280235882880
Bases of 131328648000
- Binary: 11110100100111100110000100011010000002
- Hexadecimal: 0x1E93CC2340
- Base-36: 1OBXOPC0
Squares and roots of 131328648000
- 131328648000 squared (1313286480002) is 17247213785507904000000
- 131328648000 cubed (1313286480003) is 2265053268217715025633792000000000
-
The
square root of 131328648000 is 362392.9469512341 -
The
cube root of 131328648000 is 5082.9966612703
Scales and comparisons
How big is 131328648000?- 131,328,648,000 seconds is equal to 4,175 years, 43 weeks, 6 days, 12 hours.
-
To count from 1 to 131,328,648,000 would take you about eight thousand, three hundred fifty-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 131328648000 cubic inches would be around 423.6 feet tall.
Recreational maths with 131328648000
- 131328648000 backwards is 000846823131
- 131328648000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131328648000's digits is 36
- More coming soon!
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The information we have on file for 131328648000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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