438135128064
438,135,128,064 is an even composite number composed of five prime numbers multiplied together.
What does the number 438135128064 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
438135128064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 438135128064:
215 × 32 × 17 × 281 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 281 × 311)See below for interesting mathematical facts about the number 438135128064 from the Numbermatics database.
Names of 438135128064
- Cardinal: 438135128064 can be written as Four hundred thirty-eight billion, one hundred thirty-five million, one hundred twenty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 4.38135128064 × 1011
Factors of 438135128064
Divisors of 438135128064
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 281 288 306 311 384 408 512 544 562 576 612 622 768 816 843 933 1024 1088 1124 1152 1224 1244 1536 1632 1686 1866 2048 2176 2248 2304 2448 2488 2529 2799 3072 3264 3372 3732 4096 4352 4496 4608 4777 4896 4976 5058 5287 5598 6144 6528 6744 7464 8192 8704 8992 9216 9554 9792 9952 10116 10574 11196 12288 13056 13488 14331 14928 15861 16384 17408 17984 18432 19108 19584 19904 20232 21148 22392 24576 26112 26976 28662 29856 31722 32768 34816 35968 36864 38216 39168 39808 40464 42296 42993 44784 47583 49152 52224 53952 57324 59712 63444 69632 71936 73728 76432 78336 79616 80928 84592 85986 87391 89568 95166 98304 104448 107904 114648 119424 126888 139264 143872 147456 152864 156672 159232 161856 169184 171972 174782 179136 190332 208896 215808 229296 238848 253776 262173 278528 287744 294912 305728 313344 318464 323712 338368 343944 349564 358272 380664 417792 431616 458592 477696 507552 524346 557056 575488 611456 626688 636928 647424 676736 687888 699128 716544 761328 786519 835584 863232 917184 955392 1015104 1048692 1150976 1222912 1253376 1273856 1294848 1353472 1375776 1398256 1433088 1485647 1522656 1573038 1671168 1726464 1834368 1910784 2030208 2097384 2301952 2445824 2506752 2547712 2589696 2706944 2751552 2796512 2866176 2971294 3045312 3146076 3452928 3668736 3821568 4060416 4194768 4456941 4603904 4891648 5013504 5095424 5179392 5413888 5503104 5593024 5732352 5942588 6090624 6292152 6905856 7337472 7643136 8120832 8389536 8913882 9207808 9783296 10190848 10358784 10827776 11006208 11186048 11464704 11885176 12181248 12584304 13370823 13811712 14674944 15286272 16241664 16779072 17827764 19566592 20717568 21655552 22012416 22372096 22929408 23770352 24362496 25168608 26741646 27623424 29349888 30572544 32483328 33558144 35655528 39133184 41435136 43311104 44024832 44744192 45858816 47540704 48724992 50337216 53483292 58699776 64966656 67116288 71311056 78266368 82870272 86622208 88049664 89488384 91717632 95081408 97449984 100674432 106966584 117399552 129933312 134232576 142622112 156532736 173244416 176099328 178976768 190162816 194899968 201348864 213933168 234799104 259866624 268465152 285244224 352198656 357953536 380325632 389799936 402697728 427866336 469598208 519733248 536930304 570488448 704397312 715907072 760651264 779599872 805395456 855732672 1073860608 1140976896 1408794624 1431814144 1521302528 1559199744 1610790912 1711465344 2147721216 2281953792 2863628288 3042605056 3221581824 3422930688 4295442432 4563907584 6085210112 6443163648 6845861376 8590884864 9127815168 12170420224 12886327296 13691722752 18255630336 24340840448 25772654592 27383445504 36511260672 48681680896 54766891008 73022521344 109533782016 146045042688 219067564032 438135128064
- Sum of all divisors σ(n): 1349251356960
- Sum of proper divisors (its aliquot sum) s(n): 911116228896
- 438135128064 is an abundant number, because the sum of its proper divisors (911116228896) is greater than itself. Its abundance is 472981100832
Bases of 438135128064
- Binary: 1100110000000101110001110000000000000002
- Hexadecimal: 0x6602E38000
- Base-36: 5L9YCCG0
Squares and roots of 438135128064
- 438135128064 squared (4381351280642) is 191962390443657680388096
- 438135128064 cubed (4381351280643) is 84105466520503527573415622181126144
-
The
square root of 438135128064 is 661917.7653334285 -
The
cube root of 438135128064 is 7595.1442208369
Scales and comparisons
How big is 438135128064?- 438,135,128,064 seconds is equal to 13,931 years, 17 weeks, 5 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 438,135,128,064 would take you about twenty-seven thousand, eight hundred sixty-two 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 438135128064 cubic inches would be around 632.9 feet tall.
Recreational maths with 438135128064
- 438135128064 backwards is 460821531834
- The number of decimal digits it has is: 12
- The sum of 438135128064's digits is 45
- More coming soon!
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