13898041970400
13,898,041,970,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13898041970400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
13898041970400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13898041970400:
25 × 33 × 52 × 73 × 83 × 97 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 83 × 97 × 233)See below for interesting mathematical facts about the number 13898041970400 from the Numbermatics database.
Names of 13898041970400
- Cardinal: 13898041970400 can be written as Thirteen trillion, eight hundred ninety-eight billion, forty-one million, nine hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.38980419704 × 1013
Factors of 13898041970400
Divisors of 13898041970400
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 83 84 90 96 97 98 100 105 108 112 120 126 135 140 144 147 150 160 166 168 175 180 189 194 196 200 210 216 224 225 233 240 245 249 252 270 280 288 291 294 300 315 332 336 343 350 360 378 388 392 400 415 420 432 441 450 466 480 485 490 498 504 525 540 560 581 582 588 600 630 664 672 675 679 686 699 700 720 735 747 756 776 784 800 830 840 864 873 882 900 932 945 970 980 996 1008 1029 1050 1080 1120 1162 1164 1165 1176 1200 1225 1245 1260 1323 1328 1350 1358 1372 1398 1400 1440 1455 1470 1494 1512 1552 1568 1575 1631 1660 1680 1715 1743 1746 1764 1800 1864 1890 1940 1960 1992 2016 2037 2058 2075 2097 2100 2160 2205 2241 2324 2328 2330 2352 2400 2425 2450 2490 2520 2619 2646 2656 2700 2716 2744 2796 2800 2905 2910 2940 2988 3024 3087 3104 3150 3262 3320 3360 3395 3430 3486 3492 3495 3528 3600 3675 3728 3735 3780 3880 3920 3984 4067 4074 4116 4150 4194 4200 4320 4365 4410 4482 4648 4656 4660 4704 4725 4753 4850 4893 4900 4980 5040 5145 5229 5238 5292 5400 5432 5488 5592 5600 5810 5820 5825 5880 5976 6048 6111 6174 6225 6291 6300 6524 6615 6640 6790 6860 6972 6984 6990 7056 7200 7275 7350 7456 7470 7560 7760 7840 7968 8051 8134 8148 8155 8232 8300 8388 8400 8575 8715 8730 8820 8964 9261 9296 9312 9320 9450 9506 9700 9786 9800 9960 10080 10185 10290 10458 10476 10485 10584 10800 10864 10976 11025 11184 11205 11417 11620 11640 11650 11760 11952 12201 12222 12348 12450 12582 12600 13048 13095 13230 13280 13580 13720 13944 13968 13980 14112 14259 14525 14550 14679 14700 14940 15120 15435 15520 15687 16102 16268 16296 16310 16464 16600 16776 16800 16975 17150 17430 17460 17475 17640 17928 18333 18522 18592 18640 18675 18900 19012 19339 19400 19572 19600 19920 20335 20370 20580 20916 20952 20970 21168 21600 21728 21825 22050 22368 22410 22601 22834 23240 23280 23300 23520 23765 23904 24153 24402 24444 24465 24696 24900 25164 25200 25725 26096 26145 26190 26460 27160 27440 27888 27936 27960 28469 28518 29050 29100 29358 29400 29880 30240 30555 30870 31374 31455 32204 32536 32592 32620 32928 33075 33200 33271 33552 33950 34251 34300 34860 34920 34950 35280 35856 36603 36666 37044 37280 37350 37800 38024 38678 38800 39144 39200 39840 40255 40670 40740 40775 41160 41832 41904 41940 42336 42777 43575 43650 44037 44100 44820 45202 45668 46305 46480 46560 46600 47530 48306 48804 48888 48930 49392 49800 50328 50400 50925 51450 52192 52290 52380 52425 52920 54320 54880 55776 55920 56025 56357 56938 57036 57085 58017 58100 58200 58716 58800 59760 61005 61110 61740 62748 62910 64408 65072 65184 65240 65475 66150 66400 66542 67104 67803 67900 68502 68600 69720 69840 69900 70560 71295 71712 72459 73206 73332 73395 74088 74700 75600 76048 77175 77356 77600 78288 78435 79919 80510 81340 81480 81550 82320 83664 83808 83880 85407 85554 87150 87300 88074 88200 89640 90404 91336 91665 92610 92960 93200 95060 96612 96695 97608 97776 97860 98784 99600 99813 100656 101675 101850 102753 102900 104580 104760 104850 105840 108640 109809 111840 112050 112714 113005 113876 114072 114170 116034 116200 116400 117432 117600 118825 119520 120765 122010 122220 122325 123480 125496 125820 128331 128816 130144 130480 130725 130950 132300 133084 135373 135606 135800 137004 137200 139440 139680 139800 142345 142590 144918 146412 146664 146790 148176 149400 151200 152096 152775 154350 154712 156576 156870 157275 158207 159838 161020 162680 162960 163100 164640 166355 167328 167760 169071 170814 171108 171255 174051 174300 174600 176148 176400 179280 180808 182672 183015 183330 185220 186400 190120 193224 193390 195216 195552 195720 199200 199626 201275 201312 203350 203409 203700 205506 205800 209160 209520 209700 211680 213885 217377 219618 220185 224100 225428 226010 227752 228144 228340 231525 232068 232400 232800 234864 237650 239757 241530 244020 244440 244650 246960 250992 251640 256221 256662 257632 260960 261450 261900 264600 266168 270746 271212 271600 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15442268856 15757417200 15919864800 16085696725 16545288060 16744628880 17372552463 17727094350 17909847900 18383653400 18605143200 18908900640 19302836070 19854345672 19882749600 20259536400 20468397600 20589691808 20681610075 20930786100 22060384080 23163403284 23636125800 23879797200 23920898400 24817932090 25737114760 26472460896 27575480100 27907714800 28363350960 28655756640 28954254105 29824124400 30884537712 31514834400 32171393450 33090576120 33489257760 34745104926 35454188700 35819695800 36767306800 38605672140 39708691344 40519072800 41363220150 41861572200 44120768160 46326806568 47272251600 47759594400 48257090175 49635864180 51474229520 55150960200 55815429600 56726701920 57908508210 59648248800 61769075424 62044830225 64342786900 66181152240 69490209852 70908377400 71639391600 73534613600 77211344280 79417382688 82726440300 83723144400 86862762315 92653613136 94544503200 96514180350 99271728360 102948459040 110301920400 115817016420 124089660450 128685573800 132362304480 138980419704 141816754800 143278783200 144771270525 154422688560 165452880600 167446288800 173725524630 185307226272 193028360700 198543456720 220603840800 231634032840 248179320900 257371147600 277960839408 283633509600 289542541050 308845377120 330905761200 347451049260 386056721400 397086913440 434313811575 463268065680 496358641800 514742295200 555921678816 579085082100 661811522400 694902098520 772113442800 868627623150 926536131360 992717283600 1158170164200 1389804197040 1544226885600 1737255246300 1985434567200 2316340328400 2779608394080 3474510492600 4632680656800 6949020985200 13898041970400
- Sum of all divisors σ(n): 60192647424000
- Sum of proper divisors (its aliquot sum) s(n): 46294605453600
- 13898041970400 is an abundant number, because the sum of its proper divisors (46294605453600) is greater than itself. Its abundance is 32396563483200
Bases of 13898041970400
- Binary: 110010100011111000111101101011001110111000002
- Hexadecimal: 0xCA3E3DACEE0
- Base-36: 4XCO7COO0
Squares and roots of 13898041970400
- 13898041970400 squared (138980419704002) is 193155570610999914476160000
- 13898041970400 cubed (138980419704003) is 2684484227168237583300482210225664000000
-
The
square root of 13898041970400 is 3728007.7749918923 -
The
cube root of 13898041970400 is 24042.7720900631
Scales and comparisons
How big is 13898041970400?- 13,898,041,970,400 seconds is equal to 441,914 years, 38 weeks, 5 days, 6 hours.
-
To count from 1 to 13,898,041,970,400 would take you about one million, one hundred four thousand, seven hundred eighty-six 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 13898041970400 cubic inches would be around 2003.6 feet tall.
Recreational maths with 13898041970400
- 13898041970400 backwards is 00407914089831
- 13898041970400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13898041970400's digits is 54
- More coming soon!
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"Number 13898041970400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 13898041970400 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13898041970400/
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Numbermatics. 2024. "Number 13898041970400 - Facts about the integer". https://numbermatics.com/n/13898041970400/
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