13825725732000
13,825,725,732,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13825725732000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
13825725732000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13825725732000:
25 × 34 × 53 × 72 × 132 × 5153
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 5153)See below for interesting mathematical facts about the number 13825725732000 from the Numbermatics database.
Names of 13825725732000
- Cardinal: 13825725732000 can be written as Thirteen trillion, eight hundred twenty-five billion, seven hundred twenty-five million, seven hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.3825725732 × 1013
Factors of 13825725732000
Divisors of 13825725732000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 65 70 72 75 78 80 81 84 90 91 96 98 100 104 105 108 112 117 120 125 126 130 135 140 144 147 150 156 160 162 168 169 175 180 182 189 195 196 200 208 210 216 224 225 234 240 245 250 252 260 270 273 280 288 294 300 312 315 324 325 336 338 350 351 360 364 375 378 390 392 400 405 416 420 432 441 450 455 468 480 490 500 504 507 520 525 540 546 560 567 585 588 600 624 630 637 648 650 672 675 676 700 702 720 728 735 750 756 780 784 800 810 819 840 845 864 875 882 900 910 936 945 975 980 1000 1008 1014 1040 1050 1053 1080 1092 1120 1125 1134 1170 1176 1183 1200 1225 1248 1260 1274 1296 1300 1323 1350 1352 1365 1400 1404 1440 1456 1470 1500 1512 1521 1560 1568 1575 1620 1625 1638 1680 1690 1750 1755 1764 1800 1820 1872 1890 1911 1950 1960 2000 2016 2025 2028 2080 2100 2106 2160 2184 2205 2250 2268 2275 2340 2352 2366 2400 2450 2457 2520 2535 2548 2592 2600 2625 2646 2700 2704 2730 2800 2808 2835 2912 2925 2940 3000 3024 3042 3120 3150 3185 3240 3250 3276 3360 3375 3380 3500 3510 3528 3549 3600 3640 3675 3744 3780 3822 3900 3920 3969 4000 4050 4056 4095 4200 4212 4225 4320 4368 4410 4500 4536 4550 4563 4680 4704 4725 4732 4875 4900 4914 5040 5070 5096 5153 5200 5250 5265 5292 5400 5408 5460 5600 5616 5670 5733 5850 5880 5915 6000 6048 6084 6125 6240 6300 6370 6480 6500 6552 6615 6750 6760 6825 7000 7020 7056 7098 7200 7280 7350 7371 7560 7605 7644 7800 7840 7875 7938 8100 8112 8190 8281 8400 8424 8450 8736 8775 8820 9000 9072 9100 9126 9360 9450 9464 9555 9750 9800 9828 10080 10125 10140 10192 10306 10400 10500 10530 10584 10647 10800 10920 11025 11232 11340 11375 11466 11700 11760 11830 12000 12168 12250 12285 12600 12675 12740 12960 13000 13104 13230 13500 13520 13650 13689 14000 14040 14112 14175 14196 14560 14625 14700 14742 15120 15210 15288 15459 15600 15750 15876 15925 16200 16224 16380 16562 16800 16848 16900 17199 17550 17640 17745 18000 18144 18200 18252 18375 18720 18900 18928 19110 19500 19600 19656 19845 20250 20280 20384 20475 20612 21000 21060 21125 21168 21294 21600 21840 22050 22680 22750 22815 22932 23400 23520 23625 23660 24336 24500 24570 24843 25200 25350 25480 25765 26000 26208 26325 26460 27000 27040 27300 27378 28000 28080 28350 28392 28665 29250 29400 29484 29575 30240 30420 30576 30918 31200 31500 31752 31850 31941 32400 32760 33075 33124 33696 33800 34125 34398 35100 35280 35490 36000 36071 36400 36504 36750 36855 37800 37856 38025 38220 39000 39200 39312 39690 40500 40560 40950 41224 41405 42000 42120 42250 42336 42588 43680 43875 44100 45360 45500 45630 45864 46377 46800 47250 47320 47775 48672 49000 49140 49686 50400 50700 50960 51530 51597 52000 52650 52920 53235 54000 54600 54756 55125 56160 56700 56784 57330 58500 58800 58968 59150 60840 61152 61425 61836 63000 63375 63504 63700 63882 64800 65520 66150 66248 66989 67600 68250 68445 68796 70200 70560 70875 70980 72142 72800 73008 73500 73710 74529 75600 76050 76440 77295 78000 78624 79380 79625 81000 81120 81900 82448 82810 84000 84240 84500 85176 85995 87750 88200 88725 90720 91000 91260 91728 92754 93600 94500 94640 95550 95823 98000 98280 99225 99372 101400 101920 102375 103060 103194 105300 105840 106470 108000 108213 109200 109512 110250 113400 113568 114075 114660 117000 117600 117936 118300 121680 122850 123672 124215 126000 126750 127008 127400 127764 128825 131040 131625 132300 132496 133978 135200 136500 136890 137592 139131 140400 141750 141960 143325 144284 146016 147000 147420 147875 149058 151200 152100 152880 154590 156000 158760 159250 159705 162000 163800 164896 165375 165620 168480 169000 170352 171990 175500 176400 177450 180355 182000 182520 183456 184275 185508 189000 189280 190125 191100 191646 196000 196560 198450 198744 200967 202800 204750 206120 206388 207025 210600 211680 212940 216426 218400 219024 220500 223587 226800 228150 229320 231885 234000 235872 236600 238875 243360 245700 247344 248430 252000 252497 253500 254800 255528 257650 257985 263250 264600 264992 266175 267956 273000 273780 275184 278262 280800 283500 283920 286650 288568 294000 294840 295750 298116 304200 305760 307125 309180 317520 318500 319410 324000 324639 327600 330750 331240 334945 338000 340704 342225 343980 351000 352800 354900 360710 364000 365040 368550 371016 372645 378000 380250 382200 383292 386475 393120 396900 397488 401934 405600 409500 412240 412776 414050 417393 421200 425880 429975 432852 438048 441000 443625 447174 453600 456300 458640 463770 468000 468923 473200 477750 479115 491400 494688 496125 496860 504994 507000 509600 511056 515300 515970 526500 529200 532350 535912 541065 546000 547560 550368 556524 567000 567840 570375 573300 577136 588000 589680 591500 596232 602901 608400 614250 618360 621075 635040 637000 638820 644125 649278 655200 661500 662480 669890 670761 676000 684450 687960 695655 702000 709800 716625 721420 730080 737100 742032 745290 756000 757491 760500 764400 766584 772950 793800 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6029010 6059928 6084000 6095999 6183600 6210750 6312425 6388200 6430944 6449625 6492780 6564922 6624800 6678288 6698900 6707610 6817419 6844500 6879600 6956550 6966856 7033845 7098000 7154784 7214200 7234812 7371000 7420320 7452900 7502768 7574910 7644000 7665840 7729500 7791336 7837713 7938000 7985250 8038680 8079904 8115975 8255520 8281000 8347860 8373625 8440614 8517600 8599500 8657040 8708570 8943480 9017750 9043515 9089892 9126000 9275400 9316125 9378460 9582300 9646416 9739170 9828000 9847383 9937200 10048350 10099880 10306000 10319400 10388448 10434825 10450284 10647000 10718240 10732176 10821300 10852218 10951200 11130480 11179350 11254152 11362365 11466000 11594250 11687004 11723075 11924640 11977875 12058020 12119856 12191998 12367200 12421500 12624850 12660921 12776400 12899250 12985560 13062855 13129844 13356576 13397800 13415220 13526625 13634838 13689000 13759200 13913100 13933712 14067690 14196000 14428400 14469624 14608755 14742000 14905800 15005536 15072525 15149820 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2926079520 2939142375 2954214900 3029964000 3038621040 3047999500 3072383496 3135085200 3165230250 3200399475 3272361120 3282461000 3291839460 3376245600 3408709500 3413759440 3456431433 3483428000 3526970850 3545057880 3617406000 3657599400 3692768625 3762102240 3798276300 3840479370 3895668000 3918856500 3938953200 3950207352 4090451400 4096511328 4114799325 4220307000 4254069456 4267199300 4340887200 4389119280 4431322350 4544946000 4571999250 4608575244 4702627800 4726743840 4747845375 4876799200 4923691500 4937759190 5064368400 5113064250 5120639160 5225142000 5266943136 5317586820 5333999125 5426109000 5453935200 5486399100 5627076000 5643153360 5760719055 5843502000 5878284750 5908429800 6077242080 6095999000 6144766992 6270170400 6330460500 6400798950 6564922000 6583678920 6646983525 6817419000 6827518880 6857998875 6912862866 7053941700 7090115760 7234812000 7315198800 7385537250 7596552600 7680958740 7837713000 7877906400 7900414704 8180902800 8229598650 8440614000 8508138912 8534398600 8778238560 8817427125 8862644700 9089892000 9143998500 9217150488 9405255600 9495690750 9601198425 9847383000 9875518380 10128736800 10226128500 10241278320 10450284000 10635173640 10667998250 10852218000 10972798200 11078305875 11286306720 11521438110 11687004000 11756569500 11816859600 12191998000 12289533984 12344397975 12660921000 12801597900 13129844000 13167357840 13293967050 13634838000 13715997750 13825725732 14107883400 14180231520 14630397600 14771074500 15193105200 15361917480 15675426000 15800829408 16001997375 16361805600 16459197300 16881228000 17068797200 17282157165 17634854250 17725289400 18287997000 18434300976 18810511200 18991381500 19202396850 19694766000 19751036760 20452257000 20482556640 20573996625 21270347280 21335996500 21704436000 21945596400 22156611750 23042876220 23513139000 23633719200 24383996000 24688795950 25321842000 25603195800 26334715680 26587934100 27269676000 27431995500 27651451464 28215766800 28803595275 29542149000 30386210400 30723834960 31350852000 32003994750 32918394600 33234917625 34137594400 34564314330 35269708500 35450578800 36575994000 36868601952 37982763000 38404793700 39389532000 39502073520 40904514000 41147993250 42540694560 42671993000 43891192800 44313223500 46085752440 47026278000 48005992125 49377591900 50643684000 51206391600 53175868200 54863991000 55302902928 56431533600 57607190550 59084298000 61447669920 61721989875 64007989500 65836789200 66469835250 69128628660 70539417000 70901157600 73151988000 75965526000 76809587400 79004147040 81809028000 82295986500 85343986000 86410785825 88626447000 92171504880 94052556000 96011984250 98755183800 102412783200 106351736400 109727982000 110605805856 115214381100 118168596000 123443979750 128015979000 131673578400 132939670500 138257257320 141078834000 144017976375 151931052000 153619174800 164591973000 170687972000 172821571650 177252894000 184343009760 192023968500 197510367600 212703472800 219455964000 230428762200 246887959500 256031958000 265879341000 276514514640 282157668000 288035952750 307238349600 329183946000 345643143300 354505788000 384047937000 395020735200 432053929125 460857524400 493775919000 512063916000 531758682000 553029029280 576071905500 658367892000 691286286600 768095874000 864107858250 921715048800 987551838000 1063517364000 1152143811000 1382572573200 1536191748000 1728215716500 1975103676000 2304287622000 2765145146400 3456431433000 4608575244000 6912862866000 13825725732000
- Sum of all divisors σ(n): 63932380824312
- Sum of proper divisors (its aliquot sum) s(n): 50106655092312
- 13825725732000 is an abundant number, because the sum of its proper divisors (50106655092312) is greater than itself. Its abundance is 36280929360312
Bases of 13825725732000
- Binary: 110010010011000011010111100010010100101000002
- Hexadecimal: 0xC930D7894A0
- Base-36: 4WFG84Q00
Squares and roots of 13825725732000
- 13825725732000 squared (138257257320002) is 191150692016486935824000000
- 13825725732000 cubed (138257257320003) is 2642797041301950396863709423168000000000
-
The
square root of 13825725732000 is 3718296.0791201123 -
The
cube root of 13825725732000 is 24000.9986459455
Scales and comparisons
How big is 13825725732000?- 13,825,725,732,000 seconds is equal to 439,615 years, 16 weeks, 1 day, 18 hours.
-
To count from 1 to 13,825,725,732,000 would take you about one million, ninety-nine thousand and thirty-eight 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 13825725732000 cubic inches would be around 2000.1 feet tall.
Recreational maths with 13825725732000
- 13825725732000 backwards is 00023752752831
- 13825725732000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13825725732000's digits is 45
- More coming soon!
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MLA style:
"Number 13825725732000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13825725732000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13825725732000/
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The information we have on file for 13825725732000 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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