135838289100800
135,838,289,100,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 135838289100800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
135838289100800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 135838289100800:
219 × 52 × 11 × 13 × 232 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 23 × 23 × 137)See below for interesting mathematical facts about the number 135838289100800 from the Numbermatics database.
Names of 135838289100800
- Cardinal: 135838289100800 can be written as One hundred thirty-five trillion, eight hundred thirty-eight billion, two hundred eighty-nine million, one hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.358382891008 × 1014
Factors of 135838289100800
Divisors of 135838289100800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 23 25 26 32 40 44 46 50 52 55 64 65 80 88 92 100 104 110 115 128 130 137 143 160 176 184 200 208 220 230 253 256 260 274 275 286 299 320 325 352 368 400 416 440 460 506 512 520 529 548 550 572 575 598 640 650 685 704 715 736 800 832 880 920 1012 1024 1040 1058 1096 1100 1144 1150 1196 1265 1280 1300 1370 1408 1430 1472 1495 1507 1600 1664 1760 1781 1840 2024 2048 2080 2116 2192 2200 2288 2300 2392 2530 2560 2600 2645 2740 2816 2860 2944 2990 3014 3151 3200 3289 3328 3425 3520 3562 3575 3680 4048 4096 4160 4232 4384 4400 4576 4600 4784 5060 5120 5200 5290 5480 5632 5720 5819 5888 5980 6028 6302 6325 6400 6578 6656 6850 6877 7040 7124 7150 7360 7475 7535 8096 8192 8320 8464 8768 8800 8905 9152 9200 9568 10120 10240 10400 10580 10960 11264 11440 11638 11776 11960 12056 12604 12650 12800 13156 13225 13312 13700 13754 14080 14248 14300 14720 14950 15070 15755 16192 16384 16445 16640 16928 17536 17600 17810 18304 18400 19136 19591 20240 20480 20800 21160 21920 22528 22880 23276 23552 23920 24112 25208 25300 25600 26312 26450 26624 27400 27508 28160 28496 28600 29095 29440 29900 30140 31510 32384 32768 32890 33280 33856 34385 34661 35072 35200 35620 36608 36800 37675 38272 39182 40480 40960 40963 41600 42320 43840 44525 45056 45760 46552 47104 47840 48224 50416 50600 51200 52624 52900 53248 54800 55016 56320 56992 57200 58190 58880 59800 60280 63020 64768 65536 65780 66560 67712 68770 69322 70144 70400 71240 72473 73216 73600 75350 75647 76544 78364 78775 80960 81920 81926 82225 83200 84640 87680 89050 90112 91520 93104 94208 95680 96448 97955 100832 101200 102400 105248 105800 106496 109600 110032 112640 113984 114400 116380 117760 119600 120560 126040 129536 131072 131560 133120 135424 137540 138644 140288 140800 142480 144946 145475 146432 147200 150700 151294 153088 156728 157550 161920 163840 163852 164450 166400 169280 171925 173305 175360 178100 180224 183040 186208 188416 191360 192896 195910 201664 202400 204800 204815 210496 211600 212992 219200 220064 225280 227968 228800 232760 235520 239200 241120 252080 259072 262144 263120 266240 270848 275080 277288 280576 281600 284960 289892 290950 292864 294400 301400 302588 306176 313456 315100 323840 327680 327704 328900 332800 338560 343850 346610 350720 356200 360448 362365 366080 372416 376832 378235 382720 385792 391820 403328 404800 409600 409630 420992 423200 425984 438400 440128 450560 450593 455936 457600 465520 471040 478400 482240 489775 504160 518144 524288 526240 532480 541696 550160 554576 561152 563200 569920 579784 581900 585728 588800 602800 605176 612352 626912 630200 647680 655360 655408 657800 665600 677120 687700 693220 701440 712400 720896 724730 732160 744832 753664 756470 765440 771584 783640 797203 806656 809600 819200 819260 841984 846400 851968 866525 876800 880256 901120 901186 911872 915200 931040 942080 942149 956800 964480 979550 1008320 1024075 1036288 1052480 1064960 1083392 1100320 1109152 1122304 1126400 1139840 1159568 1163800 1171456 1177600 1205600 1210352 1224704 1253824 1260400 1295360 1310720 1310816 1315600 1331200 1354240 1375400 1386440 1402880 1424800 1441792 1449460 1464320 1489664 1507328 1512940 1530880 1543168 1567280 1594406 1613312 1619200 1638400 1638520 1683968 1692800 1703936 1733050 1753600 1760512 1802240 1802372 1811825 1823744 1830400 1862080 1884160 1884298 1891175 1913600 1928960 1959100 2016640 2048150 2072576 2104960 2129920 2166784 2200640 2218304 2244608 2252800 2252965 2279680 2319136 2327600 2342912 2355200 2411200 2420704 2449408 2507648 2520800 2590720 2621440 2621632 2631200 2662400 2708480 2750800 2772880 2805760 2849600 2883584 2898920 2928640 2979328 3014656 3025880 3061760 3086336 3134560 3188812 3226624 3238400 3276800 3277040 3367936 3385600 3407872 3466100 3507200 3521024 3604480 3604744 3623650 3647488 3660800 3724160 3768320 3768596 3782350 3827200 3857920 3918200 3986015 4033280 4096300 4145152 4209920 4259840 4333568 4401280 4436608 4489216 4505600 4505930 4559360 4638272 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61970022400 64195788800 65306869760 66327289600 67113779200 73825157120 76270796800 77180846080 81633587200 84898930688 90138214400 90861731840 92281446400 94991810560 96476057600 99152035840 104490991616 106123663360 107382046720 113577164800 118120251392 118739763200 123489353728 123940044800 128391577600 130613739520 132654579200 134227558400 147650314240 154361692160 163267174400 169797861376 184562892800 189983621120 192952115200 198304071680 208981983232 212247326720 227154329600 236240502784 237479526400 246978707456 247880089600 256783155200 261227479040 265309158400 268455116800 295300628480 308723384320 326534348800 339595722752 369125785600 385904230400 417963966464 424494653440 454308659200 474959052800 493957414912 495760179200 522454958080 530618316800 536910233600 590601256960 617446768640 653068697600 679191445504 738251571200 771808460800 848989306880 949918105600 991520358400 1044909916160 1061236633600 1181202513920 1234893537280 1306137395200 1358382891008 1476503142400 1543616921600 1697978613760 2089819832320 2122473267200 2469787074560 2612274790400 2716765782016 2953006284800 3087233843200 3395957227520 4244946534400 5224549580800 5433531564032 5906012569600 6174467686400 6791914455040 8489893068800 10449099161600 12348935372800 13583828910080 16979786137600 27167657820160 33959572275200 67919144550400 135838289100800
- Sum of all divisors σ(n): 416749120880400
- Sum of proper divisors (its aliquot sum) s(n): 280910831779600
- 135838289100800 is an abundant number, because the sum of its proper divisors (280910831779600) is greater than itself. Its abundance is 145072542678800
Bases of 135838289100800
- Binary: 111101110001011010100001111100000000000000000002
- Hexadecimal: 0x7B8B50F80000
- Base-36: 1C5F8Y38JK
Squares and roots of 135838289100800
- 135838289100800 squared (1358382891008002) is 18452040785832520072560640000
- 135838289100800 cubed (1358382891008003) is 2506493650765670678426711209659072512000000
-
The
square root of 135838289100800 is 11654968.4298499925 -
The
cube root of 135838289100800 is 51405.2411675179
Scales and comparisons
How big is 135838289100800?- 135,838,289,100,800 seconds is equal to 4,319,237 years, 21 weeks, 5 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 135,838,289,100,800 would take you about ten million, seven hundred ninety-eight thousand and ninety-three 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 135838289100800 cubic inches would be around 4283.8 feet tall.
Recreational maths with 135838289100800
- 135838289100800 backwards is 008001982838531
- The number of decimal digits it has is: 15
- The sum of 135838289100800's digits is 56
- More coming soon!
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