23213223936000
23,213,223,936,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 23213223936000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
23213223936000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 23213223936000:
215 × 32 × 53 × 72 × 71 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 71 × 181)See below for interesting mathematical facts about the number 23213223936000 from the Numbermatics database.
Names of 23213223936000
- Cardinal: 23213223936000 can be written as Twenty-three trillion, two hundred thirteen billion, two hundred twenty-three million, nine hundred thirty-six thousand.
Scientific notation
- Scientific notation: 2.3213223936 × 1013
Factors of 23213223936000
Divisors of 23213223936000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 71 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 142 144 147 150 160 168 175 180 181 192 196 200 210 213 224 225 240 245 250 252 256 280 284 288 294 300 315 320 336 350 355 360 362 375 384 392 400 420 426 441 448 450 480 490 497 500 504 512 525 543 560 568 576 588 600 630 639 640 672 700 710 720 724 735 750 768 784 800 840 852 875 882 896 900 905 960 980 994 1000 1008 1024 1050 1065 1086 1120 1125 1136 1152 1176 1200 1225 1260 1267 1278 1280 1344 1400 1420 1440 1448 1470 1491 1500 1536 1568 1575 1600 1629 1680 1704 1750 1764 1775 1792 1800 1810 1920 1960 1988 2000 2016 2048 2100 2130 2172 2205 2240 2250 2272 2304 2352 2400 2450 2485 2520 2534 2556 2560 2625 2688 2715 2800 2840 2880 2896 2940 2982 3000 3072 3136 3150 3195 3200 3258 3360 3408 3479 3500 3528 3550 3584 3600 3620 3675 3801 3840 3920 3976 4000 4032 4096 4200 4260 4344 4410 4473 4480 4500 4525 4544 4608 4704 4800 4900 4970 5040 5068 5112 5120 5250 5325 5376 5430 5600 5680 5760 5792 5880 5964 6000 6125 6144 6272 6300 6335 6390 6400 6516 6720 6816 6958 7000 7056 7100 7168 7200 7240 7350 7455 7602 7680 7840 7875 7952 8000 8064 8145 8192 8400 8520 8688 8820 8869 8875 8946 8960 9000 9050 9088 9216 9408 9600 9800 9940 10080 10136 10224 10240 10437 10500 10650 10752 10860 11025 11200 11360 11403 11520 11584 11760 11928 12000 12250 12288 12425 12544 12600 12670 12780 12800 12851 13032 13440 13575 13632 13916 14000 14112 14200 14336 14400 14480 14700 14910 15204 15360 15680 15750 15904 15975 16000 16128 16290 16384 16800 17040 17376 17395 17640 17738 17750 17892 17920 18000 18100 18176 18375 18432 18816 19005 19200 19600 19880 20160 20272 20448 20480 20874 21000 21300 21504 21720 22050 22365 22400 22625 22720 22806 23040 23168 23520 23856 24000 24500 24576 24850 25088 25200 25340 25560 25600 25702 26064 26607 26625 26880 27150 27264 27832 28000 28224 28400 28672 28800 28960 29400 29820 30408 30720 31311 31360 31500 31675 31808 31950 32000 32256 32580 32768 33600 34080 34752 34790 35280 35476 35500 35784 35840 36000 36200 36352 36750 36864 37275 37632 38010 38400 38553 39200 39760 40320 40544 40725 40896 40960 41748 42000 42600 43008 43440 44100 44345 44730 44800 45250 45440 45612 46080 46336 47040 47712 48000 49000 49152 49700 50176 50400 50680 51120 51200 51404 52128 52185 53214 53250 53760 54300 54528 55125 55664 56000 56448 56800 57015 57344 57600 57920 58800 59640 60816 61440 62125 62622 62720 63000 63350 63616 63900 64000 64255 64512 65160 67200 67875 68160 69504 69580 70560 70952 71000 71568 71680 72000 72400 72704 73500 73728 74550 75264 76020 76800 77106 78400 79520 79821 79875 80640 81088 81450 81792 81920 83496 84000 85200 86016 86880 86975 88200 88690 89460 89600 89957 90500 90880 91224 92160 92672 94080 95025 95424 96000 98000 98304 99400 100352 100800 101360 102240 102400 102808 104256 104370 106428 106500 107520 108600 109056 110250 111328 111825 112000 112896 113600 114030 114688 115200 115659 115840 117600 119280 121632 122880 124250 125244 125440 126000 126700 127232 127800 128000 128510 129024 130320 133035 134400 135750 136320 139008 139160 141120 141904 142000 143136 143360 144000 144800 145408 147000 147456 149100 150528 152040 153600 154212 156555 156800 158375 159040 159642 159750 161280 162176 162900 163584 163840 166992 168000 170400 172032 173760 173950 176400 177380 178920 179200 179914 181000 181760 182448 184320 185344 186375 188160 190050 190848 192000 192765 196000 198800 200704 201600 202720 203625 204480 204800 205616 208512 208740 212856 213000 215040 217200 218112 220500 221725 222656 223650 224000 225792 227200 228060 229376 230400 231318 231680 235200 238560 243264 245760 248500 250488 250880 252000 253400 254464 255600 256000 257020 258048 260640 260925 266070 268800 269871 271500 272640 278016 278320 282240 283808 284000 285075 286272 286720 288000 289600 290816 294000 294912 298200 301056 304080 307200 308424 313110 313600 316750 318080 319284 319500 321275 322560 324352 325800 327168 333984 336000 340800 344064 347520 347900 352800 354760 357840 358400 359828 362000 363520 364896 368640 370688 372750 376320 380100 381696 384000 385530 392000 397600 399105 401408 403200 405440 407250 408960 409600 411232 417024 417480 425712 426000 430080 434400 434875 436224 441000 443450 445312 447300 448000 449785 451584 454400 456120 460800 462636 463360 470400 475125 477120 486528 491520 497000 500976 501760 504000 506800 508928 511200 512000 514040 516096 521280 521850 532140 537600 539742 543000 545280 556032 556640 559125 564480 567616 568000 570150 572544 573440 576000 578295 579200 581632 588000 596400 602112 608160 614400 616848 626220 627200 629699 633500 636160 638568 639000 642550 645120 648704 651600 654336 665175 667968 672000 681600 688128 695040 695800 705600 709520 715680 716800 719656 724000 727040 729792 737280 741376 745500 752640 760200 763392 768000 771060 782775 784000 795200 798210 802816 806400 809613 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3855300 3892224 3913875 3976000 3991050 4007808 4014080 4032000 4048065 4054400 4071424 4089600 4096000 4112320 4170240 4174800 4257120 4300800 4317936 4344000 4362240 4434500 4448256 4453120 4473000 4497850 4515840 4540928 4544000 4561200 4580352 4608000 4626360 4633600 4704000 4771200 4816896 4819125 4865280 4934784 5009760 5017600 5037592 5068000 5089280 5108544 5112000 5140400 5160960 5189632 5212800 5218500 5234688 5321400 5343744 5376000 5397420 5452800 5560320 5566400 5644800 5667291 5676160 5701500 5725440 5734400 5757248 5782950 5792000 5816320 5838336 5931008 5964000 6021120 6081600 6107136 6144000 6168480 6262200 6272000 6296990 6361600 6385680 6425500 6451200 6476904 6487040 6516000 6543360 6579712 6651750 6672384 6679680 6746775 6811392 6816000 6950400 6958000 6979584 7056000 7095200 7124992 7156800 7168000 7196560 7225344 7270400 7297920 7372800 7402176 7413760 7526400 7556388 7602000 7633920 7710600 7784448 7827750 7952000 7982100 8015616 8028160 8064000 8096130 8108800 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16120294400 16347340800 16580874240 17271744000 18135331200 18163712000 18321408000 18423193600 18949570560 19344353280 19739136000 20150368000 20434176000 20633976832 20726092800 21374976000 21796454400 22107832320 22669164000 23028992000 23213223936 23353344000 23686963200 24180441600 25649971200 25792471040 25907616000 26318848000 26529398784 27245568000 27634790400 29016529920 29608704000 30225552000 30950965248 31582617600 32062464000 32240588800 32694681600 33161748480 34543488000 36270662400 36327424000 36846387200 38688706560 39478272000 40300736000 40868352000 41452185600 42749952000 44215664640 45338328000 46057984000 46426447872 46706688000 47373926400 48360883200 51584942080 51815232000 52637696000 54491136000 55269580800 58033059840 59217408000 60451104000 61901930496 64124928000 64481177600 65389363200 66323496960 69086976000 72541324800 73692774400 77377413120 78956544000 80601472000 81736704000 82904371200 90676656000 92115968000 92852895744 94747852800 96721766400 103169884160 103630464000 108982272000 110539161600 116066119680 118434816000 120902208000 128249856000 128962355200 132646993920 138173952000 145082649600 154754826240 157913088000 161202944000 163473408000 165808742400 181353312000 184231936000 185705791488 193443532800 207260928000 221078323200 232132239360 236869632000 241804416000 257924710400 276347904000 290165299200 309509652480 322405888000 326946816000 331617484800 362706624000 368463872000 386887065600 414521856000 464264478720 473739264000 483608832000 515849420800 552695808000 580330598400 644811776000 663234969600 725413248000 773774131200 829043712000 928528957440 967217664000 1105391616000 1160661196800 1289623552000 1450826496000 1547548262400 1658087424000 1934435328000 2321322393600 2579247104000 2901652992000 3316174848000 3868870656000 4642644787200 5803305984000 7737741312000 11606611968000 23213223936000
- Sum of all divisors σ(n): 99270450901440
- Sum of proper divisors (its aliquot sum) s(n): 76057226965440
- 23213223936000 is an abundant number, because the sum of its proper divisors (76057226965440) is greater than itself. Its abundance is 52844003029440
Bases of 23213223936000
- Binary: 1010100011100101111111111011110000000000000002
- Hexadecimal: 0x151CBFF78000
- Base-36: 8880A6M80
Squares and roots of 23213223936000
- 23213223936000 squared (232132239360002) is 538853765502883332096000000
- 23213223936000 cubed (232132239360003) is 12508533127375262441626304249856000000000
-
The
square root of 23213223936000 is 4818010.3710971813 -
The
cube root of 23213223936000 is 28526.2808513139
Scales and comparisons
How big is 23213223936000?- 23,213,223,936,000 seconds is equal to 738,108 years, 37 weeks, 2 days, 8 hours.
-
To count from 1 to 23,213,223,936,000 would take you about one million, eight hundred forty-five thousand, two hundred seventy-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 23213223936000 cubic inches would be around 2377.2 feet tall.
Recreational maths with 23213223936000
- 23213223936000 backwards is 00063932231232
- 23213223936000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 23213223936000's digits is 36
- More coming soon!
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Numbermatics. (2024). Number 23213223936000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/23213223936000/
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Numbermatics. 2024. "Number 23213223936000 - Facts about the integer". https://numbermatics.com/n/23213223936000/
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