13964948944128
13,964,948,944,128 is an even composite number composed of seven prime numbers multiplied together.
13964948944128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13964948944128:
28 × 35 × 7 × 13 × 37 × 61 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 37 × 61 × 1093)See below for interesting mathematical facts about the number 13964948944128 from the Numbermatics database.
Names of 13964948944128
- Cardinal: 13964948944128 can be written as Thirteen trillion, nine hundred sixty-four billion, nine hundred forty-eight million, nine hundred forty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3964948944128 × 1013
Factors of 13964948944128
Divisors of 13964948944128
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 37 39 42 48 52 54 56 61 63 64 72 74 78 81 84 91 96 104 108 111 112 117 122 126 128 144 148 156 162 168 182 183 189 192 208 216 222 224 234 243 244 252 256 259 273 288 296 312 324 333 336 351 364 366 378 384 416 427 432 444 448 468 481 486 488 504 518 546 549 567 576 592 624 648 666 672 702 728 732 756 768 777 793 819 832 854 864 888 896 936 962 972 976 999 1008 1036 1053 1092 1093 1098 1134 1152 1184 1248 1281 1296 1332 1344 1404 1443 1456 1464 1512 1554 1586 1638 1647 1664 1701 1708 1728 1776 1792 1872 1924 1944 1952 1998 2016 2072 2106 2184 2186 2196 2257 2268 2304 2331 2368 2379 2457 2496 2562 2592 2664 2688 2808 2886 2912 2928 2997 3024 3108 3159 3172 3276 3279 3294 3328 3367 3402 3416 3456 3552 3744 3843 3848 3888 3904 3996 4032 4144 4212 4329 4368 4372 4392 4514 4536 4662 4736 4758 4914 4941 4992 5124 5184 5328 5376 5551 5616 5772 5824 5856 5994 6048 6216 6318 6344 6552 6558 6588 6734 6771 6804 6832 6912 6993 7104 7137 7371 7488 7651 7686 7696 7776 7808 7992 8064 8288 8424 8658 8736 8744 8784 8991 9028 9072 9324 9472 9516 9828 9837 9882 9984 10101 10248 10368 10656 11102 11232 11529 11544 11648 11712 11988 12096 12432 12636 12688 12987 13104 13116 13176 13468 13542 13608 13664 13986 14208 14209 14274 14742 14823 14976 15302 15372 15392 15552 15616 15799 15984 16128 16576 16653 16848 17316 17472 17488 17568 17982 18056 18144 18648 19032 19656 19674 19764 20202 20313 20496 20736 20979 21312 21411 22113 22204 22464 22953 23058 23088 23296 23424 23976 24192 24864 25272 25376 25974 26208 26232 26352 26936 27084 27216 27328 27972 28416 28418 28548 29341 29484 29511 29646 29952 30303 30604 30744 30784 31104 31598 31968 33152 33306 33696 34587 34632 34944 34976 35136 35964 36112 36288 37296 38064 38961 39312 39348 39528 40404 40441 40626 40992 41958 42624 42627 42822 44226 44408 44928 45906 46116 46176 46848 47397 47952 48384 49728 49959 50544 50752 51948 52416 52464 52704 53872 54168 54432 54656 55944 56836 57096 58682 58968 59022 59292 60606 60939 61208 61488 61568 62208 62937 63196 63936 64233 66304 66612 66673 67392 68859 69174 69264 69888 69952 70272 71928 72224 72576 74592 76128 77922 78624 78696 79056 80808 80882 81252 81984 83916 85248 85254 85644 88023 88452 88533 88816 89856 90909 91812 92232 92352 94794 95904 99456 99463 99918 101088 101504 103761 103896 104832 104928 105408 107744 108336 108864 109312 111888 113672 114192 116883 117364 117936 118044 118584 121212 121323 121878 122416 122976 123136 125874 126392 127872 127881 128466 133224 133346 134784 137718 138348 138528 139904 140544 142191 143856 144448 145152 149184 149877 152256 155844 157248 157392 158112 161616 161764 162504 163968 167832 170508 171288 176046 176904 177066 177632 181818 182817 183624 184464 184704 189588 191808 192699 198912 198926 199836 200019 202176 203008 205387 206577 207522 207792 209664 209856 210816 215488 216672 217728 223776 227344 228384 233766 234728 235872 236088 237168 242424 242646 243756 244832 245952 251748 252784 255744 255762 256932 264069 265599 266448 266692 269568 272727 275436 276696 277056 279808 283087 284382 287712 288896 298368 298389 299754 304512 311688 314496 314784 316224 323232 323528 325008 327936 335664 341016 342576 352092 353808 354132 355264 363636 363969 365634 367248 368928 369408 379176 383616 383643 385398 397852 399672 400038 404352 410774 413154 415044 415584 419712 421632 426573 430976 433344 435456 447552 449631 454688 456768 466711 467532 469456 471744 472176 474336 484848 485292 487512 489664 491904 503496 505568 511524 513864 525733 528138 531198 532896 533384 545454 548451 550872 553392 554112 566174 568764 575424 577792 596736 596778 599508 600057 609024 616161 619731 623376 628992 629568 632448 646464 647056 650016 671328 682032 685152 704184 707616 708264 710528 727272 727938 731268 734496 737856 758352 767232 767286 770796 792207 795704 799344 800076 808704 818181 821548 826308 830088 831168 839424 849261 853146 861952 866688 866749 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36944309376 38155598208 38365244352 39786179328 41562348048 41936783616 43101694272 44759451744 47178881568 48489406056 51153659136 53918721792 54550581813 55416464064 57233397312 57468925696 59679268992 62343522072 62905175424 64652541408 67139177616 72734109084 73888618752 76311196416 76730488704 83124696096 86203388544 89518903488 94357763136 96978812112 109101163626 110832928128 114466794624 119358537984 124687044144 125810350848 129305082816 134278355232 145468218168 153460977408 166249392192 172406777088 179037806976 188715526272 193957624224 218202327252 221665856256 228933589248 249374088288 258610165632 268556710464 290936436336 332498784384 358075613952 377431052544 387915248448 436404654504 498748176576 517220331264 537113420928 581872872672 664997568768 775830496896 872809309008 997496353152 1074226841856 1163745745344 1551660993792 1745618618016 1994992706304 2327491490688 3491237236032 4654982981376 6982474472064 13964948944128
- Sum of all divisors σ(n): 53694884751872
- Sum of proper divisors (its aliquot sum) s(n): 39729935807744
- 13964948944128 is an abundant number, because the sum of its proper divisors (39729935807744) is greater than itself. Its abundance is 25764986863616
Bases of 13964948944128
- Binary: 110010110011011101111101001000110101000000002
- Hexadecimal: 0xCB377D23500
- Base-36: 4Y7EQ1C00
Squares and roots of 13964948944128
- 13964948944128 squared (139649489441282) is 195019799012101742065680384
- 13964948944128 cubed (139649489441283) is 2723441536298105000354232680166721585152
-
The
square root of 13964948944128 is 3736970.5570325277 -
The
cube root of 13964948944128 is 24081.2920154575
Scales and comparisons
How big is 13964948944128?- 13,964,948,944,128 seconds is equal to 444,042 years, 9 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,964,948,944,128 would take you about one million, one hundred ten thousand, one hundred five 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 13964948944128 cubic inches would be around 2006.8 feet tall.
Recreational maths with 13964948944128
- 13964948944128 backwards is 82144984946931
- 13964948944128 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13964948944128's digits is 72
- More coming soon!
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"Number 13964948944128 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 13964948944128 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13964948944128/
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The information we have on file for 13964948944128 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!
Keywords: Divisors of 13964948944128, math, Factors of 13964948944128, curriculum, school, college, exams, university, Prime factorization of 13964948944128, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred sixty-four billion, nine hundred forty-eight million, nine hundred forty-four thousand, one hundred twenty-eight.