135426856400
135,426,856,400 is an even composite number composed of seven prime numbers multiplied together.
135426856400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135426856400:
24 × 52 × 11 × 29 × 61 × 127 × 137
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 29 × 61 × 127 × 137)See below for interesting mathematical facts about the number 135426856400 from the Numbermatics database.
Names of 135426856400
- Cardinal: 135426856400 can be written as One hundred thirty-five billion, four hundred twenty-six million, eight hundred fifty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.354268564 × 1011
Factors of 135426856400
Divisors of 135426856400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 61 80 88 100 110 116 122 127 137 145 176 200 220 232 244 254 274 275 290 305 319 400 440 464 488 508 548 550 580 610 635 638 671 685 725 880 976 1016 1096 1100 1160 1220 1270 1276 1342 1370 1397 1450 1507 1525 1595 1769 2032 2192 2200 2320 2440 2540 2552 2684 2740 2794 2900 3014 3050 3175 3190 3355 3425 3538 3683 3973 4400 4880 5080 5104 5368 5480 5588 5800 6028 6100 6350 6380 6710 6850 6985 7076 7366 7535 7747 7946 7975 8357 8845 10160 10736 10960 11176 11600 12056 12200 12700 12760 13420 13700 13970 14152 14732 15070 15494 15892 15950 16714 16775 17399 17690 18415 19459 19865 22352 24112 24400 25400 25520 26840 27400 27940 28304 29464 30140 30988 31784 31900 33428 33550 34798 34925 35380 36830 37675 38735 38918 39730 40513 41785 43703 44225 50800 53680 54800 55880 58928 60280 61976 63568 63800 66856 67100 69596 69850 70760 73660 75350 77470 77836 79460 81026 83570 85217 86995 87406 88450 91927 92075 97295 99325 111760 120560 123952 127600 133712 134200 139192 139700 141520 147320 150700 154940 155672 158920 162052 167140 170434 173990 174812 176900 183854 184150 191389 193675 194590 198650 202565 208925 218515 224663 242353 268400 278384 279400 294640 301400 309880 311344 317840 324104 334280 340868 347980 349624 353800 367708 368300 382778 387350 389180 397300 405130 417850 426085 434975 437030 449326 459635 484706 486475 504571 558800 602800 619760 648208 668560 681736 695960 699248 707600 735416 736600 765556 774700 778360 794600 810260 835700 852170 869950 874060 898652 919270 956945 969412 972950 1009142 1012825 1061339 1092575 1123315 1211765 1363472 1391920 1470832 1473200 1531112 1549400 1556720 1589200 1620520 1671400 1704340 1739900 1748120 1797304 1838540 1913890 1938824 1945900 2018284 2025650 2122678 2130425 2185150 2246630 2298175 2423530 2471293 2522855 2665883 3062224 3098800 3241040 3342800 3408680 3479800 3496240 3594608 3677080 3827780 3877648 3891800 4036568 4051300 4245356 4260850 4370300 4493260 4596350 4784725 4847060 4942586 5045710 5306695 5331766 5550281 5616575 6058825 6817360 6959600 7354160 7655560 7783600 8073136 8102600 8490712 8521700 8740600 8986520 9192700 9569450 9694120 9885172 10091420 10613390 10663532 11100562 11233150 11674729 12117650 12356465 12614275 13329415 15311120 16205200 16981424 17043400 17481200 17973040 18385400 19138900 19388240 19770344 20182840 21226780 21327064 22201124 22466300 23349458 24235300 24712930 25228550 26533475 26658830 27751405 30778831 34086800 36770800 38277800 39540688 40365680 42453560 42654128 44402248 44932600 46698916 48470600 49425860 50457100 53066950 53317660 55502810 58373645 61557662 61782325 66647075 76555600 84907120 88804496 89865200 93397832 96941200 98851720 100914200 106133900 106635320 111005620 116747290 123115324 123564650 133294150 138757025 153894155 186795664 197703440 201828400 212267800 213270640 222011240 233494580 246230648 247129300 266588300 277514050 291868225 307788310 338567141 424535600 444022480 466989160 492461296 494258600 533176600 555028100 583736450 615576620 677134282 769470775 933978320 988517200 1066353200 1110056200 1167472900 1231153240 1354268564 1538941550 1692835705 2220112400 2334945800 2462306480 2708537128 3077883100 3385671410 4669891600 5417074256 6155766200 6771342820 8464178525 12311532400 13542685640 16928357050 27085371280 33856714100 67713428200 135426856400
- Sum of all divisors σ(n): 378884321280
- Sum of proper divisors (its aliquot sum) s(n): 243457464880
- 135426856400 is an abundant number, because the sum of its proper divisors (243457464880) is greater than itself. Its abundance is 108030608480
Bases of 135426856400
- Binary: 11111100010000001000111010101110100002
- Hexadecimal: 0x1F8811D5D0
- Base-36: 1Q7PNJ68
Squares and roots of 135426856400
- 135426856400 squared (1354268564002) is 18340433434386220960000
- 135426856400 cubed (1354268564003) is 2483787245032381568088590144000000
-
The
square root of 135426856400 is 368003.8809577965 -
The
cube root of 135426856400 is 5135.3289231425
Scales and comparisons
How big is 135426856400?- 135,426,856,400 seconds is equal to 4,306 years, 8 weeks, 11 hours, 13 minutes, 20 seconds.
-
To count from 1 to 135,426,856,400 would take you about eight thousand, six hundred twelve 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 135426856400 cubic inches would be around 427.9 feet tall.
Recreational maths with 135426856400
- 135426856400 backwards is 004658624531
- 135426856400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135426856400's digits is 44
- More coming soon!
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