131897426993136
131,897,426,993,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 131897426993136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
131897426993136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 131897426993136:
24 × 32 × 7 × 192 × 233 × 313
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 19 × 23 × 23 × 23 × 31 × 31 × 31)See below for interesting mathematical facts about the number 131897426993136 from the Numbermatics database.
Names of 131897426993136
- Cardinal: 131897426993136 can be written as One hundred thirty-one trillion, eight hundred ninety-seven billion, four hundred twenty-six million, nine hundred ninety-three thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.31897426993136 × 1014
Factors of 131897426993136
Divisors of 131897426993136
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 23 24 28 31 36 38 42 46 48 56 57 62 63 69 72 76 84 92 93 112 114 124 126 133 138 144 152 161 168 171 184 186 207 217 228 248 252 266 276 279 304 322 336 342 361 368 372 399 414 434 437 456 483 496 504 529 532 552 558 589 644 651 684 713 722 744 798 828 868 874 912 961 966 1008 1058 1064 1083 1104 1116 1178 1197 1288 1302 1311 1368 1426 1444 1449 1488 1587 1596 1656 1736 1748 1767 1922 1932 1953 2116 2128 2139 2166 2232 2356 2394 2527 2576 2604 2622 2736 2852 2883 2888 2898 3059 3174 3192 3249 3312 3472 3496 3534 3703 3844 3864 3906 3933 4123 4232 4278 4332 4464 4712 4761 4788 4991 5054 5208 5244 5301 5704 5766 5776 5796 6118 6348 6384 6417 6498 6727 6992 7068 7406 7581 7688 7728 7812 7866 8246 8303 8464 8556 8649 8664 9177 9424 9522 9576 9982 10051 10108 10416 10488 10602 11109 11191 11408 11532 11592 12167 12236 12369 12696 12834 12996 13454 13547 14136 14812 14973 15162 15376 15624 15732 16399 16492 16606 17112 17298 17328 18259 18354 19044 19152 19964 20102 20181 20216 20976 21204 22103 22218 22382 22743 23064 23184 24334 24472 24738 24909 25392 25668 25992 26908 27094 27531 28272 29624 29791 29946 30153 30324 31248 31464 32798 32984 33212 33327 33573 34224 34596 36501 36518 36708 37107 38088 39928 40204 40362 40432 40641 42408 44206 44436 44764 44919 45486 46128 48668 48944 49197 49476 49818 51336 51984 53816 54188 54777 55062 58121 59248 59582 59892 60306 60543 60648 62928 65596 65968 66309 66424 66654 67146 69192 70357 73002 73036 73416 74214 74727 76176 78337 79856 80408 80724 81282 84816 85169 88412 88872 89373 89528 89838 90459 90972 94829 97336 98394 98952 99636 100719 102672 107632 108376 109503 109554 110124 114793 116242 119164 119784 120612 121086 121296 121923 127813 131192 132618 132848 133308 134292 138384 140714 146004 146072 146832 147591 148428 149454 154721 156674 160816 161448 162564 164331 170338 174363 176824 177744 178746 179056 179676 180918 181944 189658 190969 194672 196788 197904 198927 199272 201438 208537 211071 216752 219006 219108 220248 229586 231173 232484 235011 238328 239568 241224 242172 243846 255507 255626 257393 262384 265236 266616 268119 268584 281428 284487 292008 292144 295182 296856 298908 309442 311581 313348 322896 325128 328662 340676 344379 346921 348726 353648 357492 359352 361836 363888 377177 379316 381938 383439 393576 397854 398544 402876 417074 419957 422142 438012 438216 440496 459172 462346 464163 464968 470022 476656 482448 484344 487692 508369 511014 511252 514786 523089 530472 533232 536238 537168 562856 566029 568974 572907 584016 590364 593712 597816 618884 623162 625611 626696 633213 650256 657324 681352 685193 688758 693519 693842 697452 705033 714984 718704 723672 754354 758632 763876 766521 766878 772179 787152 795708 805752 834148 839914 844284 853461 876024 876432 918344 924692 928326 929936 934743 940044 968688 975384 1016738 1022028 1022504 1029572 1033137 1040763 1046178 1060944 1072476 1125712 1131531 1132058 1137948 1145814 1150317 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91341708444 92494689336 96416247802 100608258576 101303707368 102404834622 110189997488 111967255512 118187658596 119472307059 121788944592 123963747174 124666755192 130850622017 136539779496 137250184176 144624371703 150912387864 151955561052 159296409412 165284996232 177281487894 182683416888 184989378672 192832495604 202607414736 204809669244 223934511024 236375317192 238944614118 247927494348 249333510384 261701244034 265922231841 273079558992 289248743406 301824775728 303911122104 318592818824 330569992464 354562975788 358416921177 365366833776 385664991208 392551866051 409619338488 433873115109 472750634384 477889228236 495854988696 523402488068 531844463682 578497486812 607822244208 637185637648 709125951576 716833842354 771329982416 785103732102 819238676976 867746230218 915954354119 955778456472 991709977392 1046804976136 1063688927364 1156994973624 1177655598153 1418251903152 1433667684708 1570207464204 1735492460436 1831908708238 1911556912944 2093609952272 2127377854728 2313989947248 2355311196306 2747863062357 2867335369416 3140414928408 3470984920872 3663817416476 4254755709456 4710622392612 5495726124714 5734670738832 6280829856816 6941969841744 7327634832952 8243589187071 9421244785224 10991452249428 14655269665904 16487178374142 18842489570448 21982904498856 32974356748284 43965808997712 65948713496568 131897426993136
- Sum of all divisors σ(n): 480985706373120
- Sum of proper divisors (its aliquot sum) s(n): 349088279379984
- 131897426993136 is an abundant number, because the sum of its proper divisors (349088279379984) is greater than itself. Its abundance is 217190852386848
Bases of 131897426993136
- Binary: 111011111110101110000110100100001011111111100002
- Hexadecimal: 0x77F5C3485FF0
- Base-36: 1AR4UAJH80
Squares and roots of 131897426993136
- 131897426993136 squared (1318974269931362) is 17396931247409641122191114496
- 131897426993136 cubed (1318974269931363) is 2294610469109819542928180827622081982099456
-
The
square root of 131897426993136 is 11484660.5083971029 -
The
cube root of 131897426993136 is 50903.2417645925
Scales and comparisons
How big is 131897426993136?- 131,897,426,993,136 seconds is equal to 4,193,930 years, 10 weeks, 4 hours, 45 minutes, 36 seconds.
-
To count from 1 to 131,897,426,993,136 would take you about ten million, four hundred eighty-four thousand, eight hundred twenty-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 131897426993136 cubic inches would be around 4241.9 feet tall.
Recreational maths with 131897426993136
- 131897426993136 backwards is 631399624798131
- 131897426993136 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131897426993136's digits is 72
- More coming soon!
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The information we have on file for 131897426993136 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 131897426993136, math, Factors of 131897426993136, curriculum, school, college, exams, university, Prime factorization of 131897426993136, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, eight hundred ninety-seven billion, four hundred twenty-six million, nine hundred ninety-three thousand, one hundred thirty-six.