138147778449408
138,147,778,449,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 138147778449408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1040 divisors.
138147778449408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and forty divisors.
Prime factorization of 138147778449408:
212 × 3 × 7 × 134 × 53 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 13 × 53 × 1061)See below for interesting mathematical facts about the number 138147778449408 from the Numbermatics database.
Names of 138147778449408
- Cardinal: 138147778449408 can be written as One hundred thirty-eight trillion, one hundred forty-seven billion, seven hundred seventy-eight million, four hundred forty-nine thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38147778449408 × 1014
Factors of 138147778449408
Divisors of 138147778449408
- Number of divisors d(n): 1040
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 53 56 64 78 84 91 96 104 106 112 128 156 159 168 169 182 192 208 212 224 256 273 312 318 336 338 364 371 384 416 424 448 507 512 546 624 636 672 676 689 728 742 768 832 848 896 1014 1024 1061 1092 1113 1183 1248 1272 1344 1352 1378 1456 1484 1536 1664 1696 1792 2028 2048 2067 2122 2184 2197 2226 2366 2496 2544 2688 2704 2756 2912 2968 3072 3183 3328 3392 3549 3584 4056 4096 4134 4244 4368 4394 4452 4732 4823 4992 5088 5376 5408 5512 5824 5936 6144 6366 6591 6656 6784 7098 7168 7427 8112 8268 8488 8736 8788 8904 8957 9464 9646 9984 10176 10752 10816 11024 11648 11872 12288 12732 13182 13312 13568 13793 14196 14336 14469 14854 15379 16224 16536 16976 17472 17576 17808 17914 18928 19292 19968 20352 21504 21632 22048 22281 23296 23744 25464 26364 26624 26871 27136 27586 28392 28561 28672 28938 29708 30758 32448 33072 33952 34944 35152 35616 35828 37856 38584 39936 40704 41379 43008 43264 44096 44562 46137 46592 47488 50928 52728 53248 53742 54272 55172 56233 56784 57122 57876 59416 61516 62699 64896 66144 67904 69888 70304 71232 71656 75712 77168 79872 81408 82758 85683 86016 86528 88192 89124 92274 93184 94976 96551 101856 105456 107484 108544 110344 112466 113568 114244 115752 116441 118832 123032 125398 129792 132288 135808 139776 140608 142464 143312 151424 154336 159744 162816 165516 168699 171366 173056 176384 178248 179309 184548 186368 188097 189952 193102 199927 203712 210912 214968 217088 220688 224932 227136 228488 231504 232882 237664 246064 250796 259584 264576 271616 279552 281216 284928 286624 289653 302848 308672 325632 331032 337398 342732 346112 349323 352768 356496 358618 369096 372736 376194 379904 386204 393631 399854 407424 421824 429936 441376 449864 454272 456976 463008 465764 475328 492128 501592 519168 529152 537927 543232 559104 562432 569856 573248 579306 599781 605696 617344 651264 662064 674796 685464 692224 698646 705536 712992 717236 731029 738192 752388 759808 772408 787262 799708 814848 815087 843648 859872 882752 899728 908544 913952 926016 931528 950656 984256 1003184 1038336 1058304 1075854 1086464 1118208 1124864 1139712 1146496 1158612 1180893 1199562 1211392 1234688 1255163 1324128 1349592 1370928 1397292 1411072 1425984 1434472 1462058 1476384 1504776 1513733 1519616 1544816 1574524 1599416 1629696 1630174 1687296 1719744 1765504 1799456 1817088 1827904 1852032 1863056 1901312 1968512 2006368 2076672 2116608 2151708 2172928 2193087 2249728 2279424 2292992 2317224 2331017 2361786 2399124 2422784 2445261 2469376 2510326 2648256 2699184 2741856 2794584 2822144 2851968 2868944 2924116 2952768 3009552 3027466 3089632 3149048 3198832 3259392 3260348 3374592 3439488 3531008 3598912 3634176 3655808 3704064 3726112 3765489 3802624 3937024 4012736 4233216 4303416 4345856 4386174 4499456 4541199 4558848 4585984 4634448 4662034 4723572 4798248 4845568 4890522 4938752 5020652 5117203 5296512 5398368 5483712 5589168 5703936 5737888 5848232 5905536 6019104 6054932 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9731458048 10015789056 10181882256 10377687684 10480031744 10850438144 11242494991 11636436864 11860214496 12531547392 12772538688 12848565704 13575843008 13836916912 14321768448 14597187072 15423442944 15515249152 15720047616 15813619328 16275657216 16708729856 17030051584 18600751104 19272848556 19462916096 20363764512 20755375368 20960063488 21700876288 22484989982 23272873728 23720428992 25063094784 25545077376 25697131408 27151686016 27673833824 28643536896 29194374144 31030498304 31440095232 31627238656 32551314432 33417459712 33727484973 34060103168 38545697112 38925832192 40727529024 41510750736 43401752576 44969979964 46545747456 47440857984 50126189568 51090154752 51394262816 54303372032 55347667648 58388748288 62060996608 62880190464 63254477312 65102628864 66834919424 67454969946 68120206336 77091394224 81455058048 83021501472 89939959928 93091494912 94881715968 100252379136 102180309504 102788525632 108606744064 110695335296 116777496576 124121993216 126508954624 130205257728 134909939892 136240412672 154182788448 162910116096 166043002944 179879919856 186182989824 189763431936 200504758272 204360619008 205577051264 217213488128 221390670592 253017909248 269819879784 272480825344 308365576896 325820232192 332086005888 359759839712 372365979648 379526863872 408721238016 411154102528 434426976256 442781341184 506035818496 539639759568 616731153792 651640464384 664172011776 719519679424 759053727744 817442476032 822308205056 868853952512 885562682368 1079279519136 1233462307584 1303280928768 1328344023552 1439039358848 1518107455488 1644616410112 1771125364736 2158559038272 2466924615168 2606561857536 2656688047104 2878078717696 3289232820224 3542250729472 4317118076544 4933849230336 5313376094208 5756157435392 6578465640448 8634236153088 9867698460672 10626752188416 11512314870784 17268472306176 19735396921344 23024629741568 34536944612352 46049259483136 69073889224704 138147778449408
- Sum of all divisors σ(n): 465092703916416
- Sum of proper divisors (its aliquot sum) s(n): 326944925467008
- 138147778449408 is an abundant number, because the sum of its proper divisors (326944925467008) is greater than itself. Its abundance is 188797147017600
Bases of 138147778449408
- Binary: 111110110100101000010010100001011010000000000002
- Hexadecimal: 0x7DA50942D000
- Base-36: 1CYW7OF2TC
Squares and roots of 138147778449408
- 138147778449408 squared (1381477784494082) is 19084808690506717432815550464
- 138147778449408 cubed (1381477784494083) is 2636523922725458411400575448495239894925312
-
The
square root of 138147778449408 is 11753628.3099904091 -
The
cube root of 138147778449408 is 51694.9320106539
Scales and comparisons
How big is 138147778449408?- 138,147,778,449,408 seconds is equal to 4,392,672 years, 1 week, 5 days, 22 hours, 36 minutes, 48 seconds.
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To count from 1 to 138,147,778,449,408 would take you about ten million, nine hundred eighty-one thousand, six hundred eighty 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 138147778449408 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138147778449408
- 138147778449408 backwards is 804944877741831
- The number of decimal digits it has is: 15
- The sum of 138147778449408's digits is 75
- More coming soon!
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The information we have on file for 138147778449408 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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