13956146128404480
13,956,146,128,404,480 is an even composite number composed of seven prime numbers multiplied together.
13956146128404480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13956146128404480:
214 × 3 × 5 × 7 × 11 × 132 × 20892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 13 × 2089 × 2089)See below for interesting mathematical facts about the number 13956146128404480 from the Numbermatics database.
Names of 13956146128404480
- Cardinal: 13956146128404480 can be written as Thirteen quadrillion, nine hundred fifty-six trillion, one hundred forty-six billion, one hundred twenty-eight million, four hundred four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.395614612840448 × 1016
Factors of 13956146128404480
Divisors of 13956146128404480
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 64 65 66 70 77 78 80 84 88 91 96 104 105 110 112 120 128 130 132 140 143 154 156 160 165 168 169 176 182 192 195 208 210 220 224 231 240 256 260 264 273 280 286 308 312 320 330 336 338 352 364 384 385 390 416 420 429 440 448 455 462 480 507 512 520 528 546 560 572 616 624 640 660 672 676 704 715 728 768 770 780 832 840 845 858 880 896 910 924 960 1001 1014 1024 1040 1056 1092 1120 1144 1155 1183 1232 1248 1280 1320 1344 1352 1365 1408 1430 1456 1536 1540 1560 1664 1680 1690 1716 1760 1792 1820 1848 1859 1920 2002 2028 2048 2080 2089 2112 2145 2184 2240 2288 2310 2366 2464 2496 2535 2560 2640 2688 2704 2730 2816 2860 2912 3003 3072 3080 3120 3328 3360 3380 3432 3520 3549 3584 3640 3696 3718 3840 4004 4056 4096 4160 4178 4224 4290 4368 4480 4576 4620 4732 4928 4992 5005 5070 5120 5280 5376 5408 5460 5577 5632 5720 5824 5915 6006 6144 6160 6240 6267 6656 6720 6760 6864 7040 7098 7168 7280 7392 7436 7680 8008 8112 8192 8320 8356 8448 8580 8736 8960 9152 9240 9295 9464 9856 9984 10010 10140 10240 10445 10560 10752 10816 10920 11154 11264 11440 11648 11830 12012 12288 12320 12480 12534 13013 13312 13440 13520 13728 14080 14196 14336 14560 14623 14784 14872 15015 15360 16016 16224 16384 16640 16712 16896 17160 17472 17745 17920 18304 18480 18590 18928 19712 19968 20020 20280 20480 20890 21120 21504 21632 21840 22308 22528 22880 22979 23296 23660 24024 24576 24640 24960 25068 26026 26624 26880 27040 27157 27456 27885 28160 28392 28672 29120 29246 29568 29744 30030 30720 31335 32032 32448 33280 33424 33792 34320 34944 35490 35840 36608 36960 37180 37856 39039 39424 39936 40040 40560 40960 41780 42240 43008 43264 43680 43869 44616 45056 45760 45958 46592 47320 48048 49152 49280 49920 50136 52052 53248 53760 54080 54314 54912 55770 56320 56784 57344 58240 58492 59136 59488 60060 61440 62670 64064 64896 65065 66560 66848 67584 68640 68937 69888 70980 71680 73115 73216 73920 74360 75712 78078 78848 79872 80080 81120 81471 81920 83560 84480 86016 86528 87360 87738 89232 90112 91520 91916 93184 94640 96096 98560 99840 100272 104104 106496 107520 108160 108628 109824 111540 112640 113568 114688 114895 116480 116984 118272 118976 120120 122880 125340 128128 129792 130130 133120 133696 135168 135785 137280 137874 139776 141960 143360 146230 146432 147840 148720 151424 156156 157696 159744 160160 160853 162240 162942 167120 168960 172032 173056 174720 175476 178464 180224 183040 183832 186368 189280 190099 192192 195195 197120 199680 200544 208208 212992 215040 216320 217256 219345 219648 223080 225280 227136 229790 232960 233968 236544 237952 240240 245760 250680 256256 259584 260260 266240 267392 270336 271570 274560 275748 279552 283920 286720 292460 292864 295680 297440 298727 302848 312312 315392 319488 320320 321706 324480 325884 334240 337920 344064 344685 346112 349440 350952 353041 356928 366080 367664 372736 378560 380198 384384 390390 394240 399360 401088 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153364243169280 158592569640960 166144596766720 174451826605056 178924950364160 181248651018240 199373516120064 211456759521280 214709940436992 218064783256320 232602435473408 249216895150080 253748111425536 268387425546240 290753044341760 317185139281920 332289193533440 348903653210112 357849900728320 398747032240128 422913519042560 436129566512640 465204870946816 498433790300160 536774851092480 581506088683520 634370278563840 664578387066880 697807306420224 872259133025280 930409741893632 996867580600320 1073549702184960 1163012177367040 1268740557127680 1395614612840448 1744518266050560 1993735161200640 2326024354734080 2791229225680896 3489036532101120 4652048709468160 6978073064202240 13956146128404480
- Sum of all divisors σ(n): 60319130310077184
- Sum of proper divisors (its aliquot sum) s(n): 46362984181672704
- 13956146128404480 is an abundant number, because the sum of its proper divisors (46362984181672704) is greater than itself. Its abundance is 32406838053268224
Bases of 13956146128404480
- Binary: 1100011001010100001010011111000110101011000000000000002
- Hexadecimal: 0x31950A7C6AC000
- Base-36: 3TF1H0RU51C
Squares and roots of 13956146128404480
- 13956146128404480 squared (139561461284044802) is 194774014757379356355870484070400
- 13956146128404480 cubed (139561461284044803) is 2718294611969996957122178848387421132807995392000
-
The
square root of 13956146128404480 is 118136133.8812324601 -
The
cube root of 13956146128404480 is 240762.3106527193
Scales and comparisons
How big is 13956146128404480?- 13,956,146,128,404,480 seconds is equal to 443,762,277 years, 35 weeks, 5 days, 18 hours, 8 minutes.
-
To count from 1 to 13,956,146,128,404,480 would take you about one billion, three hundred thirty-one million, two hundred eighty-six thousand, eight hundred thirty-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 13956146128404480 cubic inches would be around 20063.5 feet tall.
Recreational maths with 13956146128404480
- 13956146128404480 backwards is 08440482164165931
- 13956146128404480 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13956146128404480's digits is 66
- More coming soon!
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"Number 13956146128404480 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13956146128404480 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13956146128404480/
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The information we have on file for 13956146128404480 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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