378930021305472
378,930,021,305,472 is an even composite number composed of seven prime numbers multiplied together.
What does the number 378930021305472 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
378930021305472 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 378930021305472:
27 × 33 × 73 × 13 × 73 × 181 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 73 × 181 × 1861)See below for interesting mathematical facts about the number 378930021305472 from the Numbermatics database.
Names of 378930021305472
- Cardinal: 378930021305472 can be written as Three hundred seventy-eight trillion, nine hundred thirty billion, twenty-one million, three hundred five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 3.78930021305472 × 1014
Factors of 378930021305472
Divisors of 378930021305472
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 73 78 84 91 96 98 104 108 112 117 126 128 144 146 147 156 168 181 182 189 192 196 208 216 219 224 234 252 273 288 292 294 312 336 343 351 362 364 378 384 392 416 432 438 441 448 468 504 511 543 546 576 584 588 624 637 657 672 686 702 724 728 756 784 819 832 864 876 882 896 936 949 1008 1022 1029 1086 1092 1152 1168 1176 1248 1267 1274 1314 1323 1344 1372 1404 1448 1456 1512 1533 1568 1629 1638 1664 1728 1752 1764 1861 1872 1898 1911 1971 2016 2044 2058 2172 2184 2336 2352 2353 2457 2496 2534 2548 2628 2646 2688 2744 2808 2847 2896 2912 3024 3066 3087 3136 3258 3276 3456 3504 3528 3577 3722 3744 3796 3801 3822 3942 4032 4088 4116 4344 4368 4459 4599 4672 4704 4706 4887 4914 4992 5068 5096 5256 5292 5488 5583 5616 5694 5733 5792 5824 6048 6132 6174 6272 6516 6552 6643 7008 7056 7059 7154 7444 7488 7592 7602 7644 7884 8064 8176 8232 8541 8688 8736 8869 8918 9198 9261 9344 9408 9412 9774 9828 10136 10192 10512 10584 10731 10976 11166 11232 11388 11403 11466 11584 11648 12096 12264 12348 13027 13032 13104 13213 13286 13377 13797 14016 14112 14118 14308 14888 14976 15184 15204 15288 15768 16352 16464 16471 16749 17082 17199 17376 17472 17738 17836 18396 18522 18816 18824 19548 19656 19929 20272 20384 21024 21168 21177 21462 21952 22332 22464 22776 22806 22932 23168 24192 24193 24528 24696 25039 25623 26054 26064 26208 26426 26572 26607 26754 27594 28032 28224 28236 28616 29776 30368 30408 30576 31536 32193 32704 32928 32942 33498 34164 34209 34398 34752 34944 35476 35672 36792 37044 37648 39081 39096 39312 39639 39858 40131 40544 40768 42048 42336 42354 42924 43904 44664 44928 45552 45612 45864 46501 48386 49056 49392 49413 50078 50247 51246 52108 52128 52416 52852 53144 53214 53508 55188 56448 56472 57232 59552 59787 60736 60816 61152 62083 63072 63531 64386 65408 65856 65884 66996 68328 68418 68796 69504 70952 71344 72579 73584 74088 75117 75296 78162 78192 78624 79278 79716 79821 80262 81088 81536 84096 84672 84708 85848 89328 91104 91189 91224 91728 92491 93002 96579 96772 98112 98784 98826 100156 100494 102492 104216 104256 104832 105704 106288 106428 107016 110376 112944 114464 115297 117243 118917 119104 119574 120393 121472 121632 122304 124166 126144 127062 128772 131712 131768 133992 135853 136656 136836 137592 139503 141904 142688 145158 147168 148176 148239 150234 150592 156324 156384 157248 158556 159432 159642 160524 162176 169344 169351 169416 171696 171769 178656 179361 182208 182378 182448 183456 184982 186004 186249 193158 193544 196224 197568 197652 200312 200988 204984 208432 208512 211408 212576 212856 214032 217737 220752 225351 225888 228928 230594 234486 237834 238208 239148 239463 240786 243264 244608 248332 252288 254124 257544 263536 267984 271706 273312 273567 273672 275184 277473 279006 283808 285376 290316 294336 296352 296478 300468 301184 312648 312768 314496 317112 318864 319284 321048 325507 336841 338702 338832 343392 343538 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126310007101824 189465010652736 378930021305472
- Sum of all divisors σ(n): 1432422001920000
- Sum of proper divisors (its aliquot sum) s(n): 1053491980614528
- 378930021305472 is an abundant number, because the sum of its proper divisors (1053491980614528) is greater than itself. Its abundance is 674561959309056
Bases of 378930021305472
- Binary: 10101100010100010100001010101000010001100100000002
- Hexadecimal: 0x158A285508C80
- Base-36: 3QBI1R02O0
Squares and roots of 378930021305472
- 378930021305472 squared (3789300213054722) is 143587961046565463843137142784
- 378930021305472 cubed (3789300213054723) is 54409789138584334828771143592111907744514048
-
The
square root of 378930021305472 is 19466124.9689164381 -
The
cube root of 378930021305472 is 72363.5178688443
Scales and comparisons
How big is 378930021305472?- 378,930,021,305,472 seconds is equal to 12,048,802 years, 29 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 378,930,021,305,472 would take you about thirty million, one hundred twenty-two thousand and 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 378930021305472 cubic inches would be around 6030.3 feet tall.
Recreational maths with 378930021305472
- 378930021305472 backwards is 274503120039873
- 378930021305472 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 378930021305472's digits is 54
- More coming soon!
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"Number 378930021305472 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 378930021305472 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/378930021305472/
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The information we have on file for 378930021305472 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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