137164528043424
137,164,528,043,424 is an even composite number composed of six prime numbers multiplied together.
What does the number 137164528043424 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
137164528043424 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 137164528043424:
25 × 36 × 7 × 19 × 612 × 1092
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 61 × 61 × 109 × 109)See below for interesting mathematical facts about the number 137164528043424 from the Numbermatics database.
Names of 137164528043424
- Cardinal: 137164528043424 can be written as One hundred thirty-seven trillion, one hundred sixty-four billion, five hundred twenty-eight million, forty-three thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.37164528043424 × 1014
Factors of 137164528043424
Divisors of 137164528043424
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 61 63 72 76 81 84 96 108 109 112 114 122 126 133 144 152 162 168 171 183 189 216 218 224 228 243 244 252 266 288 304 324 327 336 342 366 378 399 427 432 436 456 486 488 504 513 532 549 567 608 648 654 672 684 729 732 756 763 798 854 864 872 912 972 976 981 1008 1026 1064 1098 1134 1159 1197 1281 1296 1308 1368 1458 1464 1512 1526 1539 1596 1647 1701 1708 1744 1824 1944 1952 1962 2016 2052 2071 2128 2196 2268 2289 2318 2394 2562 2592 2616 2736 2916 2928 2943 3024 3052 3078 3192 3294 3402 3416 3477 3488 3591 3721 3843 3888 3924 4104 4142 4256 4392 4536 4578 4617 4636 4788 4941 5103 5124 5232 5472 5832 5856 5886 6048 6104 6156 6213 6384 6588 6649 6804 6832 6867 6954 7182 7442 7686 7776 7848 8113 8208 8284 8784 8829 9072 9156 9234 9272 9576 9882 10206 10248 10431 10464 10773 11163 11529 11664 11772 11881 12208 12312 12426 12768 13176 13298 13608 13664 13734 13851 13908 14364 14497 14823 14884 15372 15696 16226 16416 16568 17568 17658 18144 18312 18468 18544 18639 19152 19764 19947 20412 20496 20601 20862 21546 22326 23058 23328 23544 23762 24339 24416 24624 24852 26047 26352 26487 26596 27216 27468 27702 27816 28728 28994 29646 29768 30744 31293 31392 32319 32452 33136 33489 34587 35316 35643 36624 36936 37088 37278 38304 39528 39894 40824 40992 41202 41724 43092 43491 44469 44652 46116 46543 47088 47524 48678 49248 49704 52094 52704 52974 53192 54432 54936 55404 55632 55917 57456 57988 59292 59536 59841 61488 61803 62586 64638 64904 66272 66978 69174 70632 70699 71286 73017 73248 73872 74556 78141 79056 79461 79788 81648 82404 83167 83448 86184 86982 88938 89304 92232 93086 93879 94176 95048 96957 97356 99408 100467 103761 104188 105948 106384 106929 109872 110808 111264 111834 114912 115976 118584 119072 119682 122976 123606 125172 126331 129276 129808 130473 133956 138348 139629 141264 141398 142572 146034 147744 149112 156282 158112 158922 159576 163296 164808 166334 166896 167751 172368 173964 177876 178608 179523 184464 185409 186172 187758 190096 193914 194712 198816 200934 207522 208376 211896 212097 212768 213858 219051 219744 221616 223668 225739 231952 234423 237168 239364 247212 249501 250344 252662 258552 259616 260946 267912 276696 279258 281637 282528 282796 285144 292068 298224 301401 311283 312564 317844 319152 320787 329616 332668 333792 335502 344736 347928 355752 357216 359046 368928 370818 372344 375516 378993 380192 387828 389424 391419 401868 405589 415044 416752 418887 423792 424194 427716 438102 443232 447336 451478 463904 468846 474336 478728 494424 494893 499002 500688 503253 505324 517104 521892 535824 538569 553392 556227 558516 563274 565592 570288 584136 596448 602802 622566 625128 635688 636291 638304 641574 657153 659232 665336 671004 677217 695856 703269 711504 718092 724741 741636 744688 748503 751032 757986 775656 778848 782838 803736 811178 830088 833504 837774 844911 847584 848388 855432 876204 884317 894672 902956 904203 937692 957456 962361 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29708583072 29961670608 30239093484 31230539172 32228507529 33115530672 33422155956 34955282376 35278942398 35692044768 36862275744 38196749664 39324692673 39449102112 40153550364 40318791312 41640718896 42971343372 44562874608 44942505912 45358640226 46607043168 46845808758 47038589864 50133233934 52432923564 52918413597 53538067152 57295124496 59173653168 59923341216 60478186968 62461078344 64457015058 66231061344 66844311912 68037960339 69910564752 70268713137 70557884796 75199850901 78649385346 80307100728 80637582624 83281437792 85942686744 89125749216 89885011824 90717280452 93691617516 94077179728 100266467868 104865847128 105836827194 107076134304 114590248992 118347306336 120956373936 124922156688 128914030116 133688623824 136075920678 139821129504 140537426274 141115769592 150399701802 157298770692 158755240791 160614201456 171885373488 179770023648 181434560904 187383235032 188154359456 200532935736 204113881017 209731694256 211673654388 225599552703 241912747872 249844313376 257828060232 267377247648 272151841356 281074852548 282231539184 300799403604 314597541384 317510481582 321228402912 343770746976 362869121808 374766470064 401065871472 408227762034 419463388512 423347308776 451199105406 476265722373 515656120464 544303682712 562149705096 564463078368 601598807208 612341643051 629195082768 635020963164 725738243616 749532940128 802131742944 816455524068 846694617552 902398210812 952531444746 1031312240928 1088607365424 1124299410192 1203197614416 1224683286102 1258390165536 1270041926328 1428797167119 1632911048136 1693389235104 1804796421624 1905062889492 2177214730848 2248598820384 2406395228832 2449366572204 2540083852656 2857594334238 3265822096272 3609592843248 3810125778984 4286391501357 4898733144408 5080167705312 5715188668476 6531644192544 7219185686496 7620251557968 8572783002714 9797466288816 11430377336952 15240503115936 17145566005428 19594932577632 22860754673904 34291132010856 45721509347808 68582264021712 137164528043424
- Sum of all divisors σ(n): 499772595460320
- Sum of proper divisors (its aliquot sum) s(n): 362608067416896
- 137164528043424 is an abundant number, because the sum of its proper divisors (362608067416896) is greater than itself. Its abundance is 225443539373472
Bases of 137164528043424
- Binary: 111110011000000000110101111100001000101101000002
- Hexadecimal: 0x7CC01AF845A0
- Base-36: 1CMCIIII00
Squares and roots of 137164528043424
- 137164528043424 squared (1371645280434242) is 18814107753375248929629643776
- 137164528043424 cubed (1371645280434243) is 2580628210549840241397722112863415379329024
-
The
square root of 137164528043424 is 11711726.0915470525 -
The
cube root of 137164528043424 is 51571.9957065085
Scales and comparisons
How big is 137164528043424?- 137,164,528,043,424 seconds is equal to 4,361,407 years, 37 weeks, 21 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,164,528,043,424 would take you about ten million, nine hundred three thousand, five hundred nineteen 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 137164528043424 cubic inches would be around 4297.7 feet tall.
Recreational maths with 137164528043424
- 137164528043424 backwards is 424340825461731
- 137164528043424 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137164528043424's digits is 54
- More coming soon!
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MLA style:
"Number 137164528043424 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 137164528043424 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/137164528043424/
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Numbermatics. 2024. "Number 137164528043424 - Facts about the integer". https://numbermatics.com/n/137164528043424/
The information we have on file for 137164528043424 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 137164528043424, math, Factors of 137164528043424, curriculum, school, college, exams, university, Prime factorization of 137164528043424, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred sixty-four billion, five hundred twenty-eight million, forty-three thousand, four hundred twenty-four.