137945574144
137,945,574,144 is an even composite number composed of six prime numbers multiplied together.
137945574144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137945574144:
28 × 32 × 7 × 193 × 29 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 19 × 19 × 29 × 43)See below for interesting mathematical facts about the number 137945574144 from the Numbermatics database.
Names of 137945574144
- Cardinal: 137945574144 can be written as One hundred thirty-seven billion, nine hundred forty-five million, five hundred seventy-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37945574144 × 1011
Factors of 137945574144
Divisors of 137945574144
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 29 32 36 38 42 43 48 56 57 58 63 64 72 76 84 86 87 96 112 114 116 126 128 129 133 144 152 168 171 172 174 192 203 224 228 232 252 256 258 261 266 288 301 304 336 342 344 348 361 384 387 399 406 448 456 464 504 516 522 532 551 576 602 608 609 672 684 688 696 722 768 774 798 812 817 896 903 912 928 1008 1032 1044 1064 1083 1102 1152 1197 1204 1216 1218 1247 1344 1368 1376 1392 1444 1548 1596 1624 1634 1653 1792 1806 1824 1827 1856 2016 2064 2088 2128 2166 2204 2304 2394 2408 2432 2436 2451 2494 2527 2688 2709 2736 2752 2784 2888 3096 3192 3248 3249 3268 3306 3612 3648 3654 3712 3741 3857 4032 4128 4176 4256 4332 4408 4788 4816 4864 4872 4902 4959 4988 5054 5376 5418 5472 5504 5568 5719 5776 6192 6384 6496 6498 6536 6612 6859 7224 7296 7308 7353 7424 7482 7581 7714 8064 8256 8352 8512 8664 8729 8816 9576 9632 9744 9804 9918 9976 10108 10469 10836 10944 11008 11136 11223 11438 11552 11571 12384 12768 12992 12996 13072 13224 13718 14448 14592 14616 14706 14964 15162 15428 15523 16128 16512 16704 17024 17157 17328 17458 17632 19152 19264 19488 19608 19836 19952 20216 20577 20938 21672 21888 22272 22446 22743 22876 23104 23142 23693 24768 25536 25984 25992 26144 26187 26448 27436 28896 29232 29412 29928 30324 30856 31046 31407 33024 33408 34048 34314 34656 34713 34916 35264 38304 38528 38976 39216 39672 39904 40432 41154 41876 43344 43776 44892 45486 45752 46208 46284 46569 47386 48013 49536 51072 51471 51968 51984 52288 52374 52896 54872 57792 58464 58824 59856 60648 61712 61731 62092 62814 66816 68628 69312 69426 69832 70528 71079 73283 76608 77056 77952 78432 78561 79344 79808 80864 82308 83752 86688 89784 90972 91504 92416 92568 93138 94221 94772 96026 99072 102144 102942 103968 104576 104748 105792 108661 109744 115584 116928 117648 119712 121296 123424 123462 124184 125628 137256 138624 138852 139664 139707 141056 142158 144039 146566 153216 155904 156864 157122 158688 159616 161728 164616 165851 167504 173376 179568 181944 183008 185136 186276 188442 189544 192052 198911 205884 207936 209152 209496 211584 213237 217322 219488 219849 231168 233856 235296 239424 242592 246848 246924 248368 251256 274512 277248 277704 279328 279414 284316 288078 293132 294937 306432 313728 314244 317376 319232 323456 325983 329232 331702 335008 346752 359136 363888 366016 370272 372552 376884 379088 384104 397822 411768 415872 418992 423168 426474 432117 434644 438976 439698 450167 467712 470592 478848 485184 493696 493848 496736 497553 502512 549024 555408 558656 558828 568632 576156 586264 589874 596733 627456 628488 634752 646912 651966 658464 659547 663404 670016 693504 718272 727776 732032 740544 745104 753768 758176 768208 795644 823536 831744 837984 852948 864234 869288 877952 879396 884811 900334 941184 957696 970368 977949 987392 987696 993472 995106 1005024 1098048 1110816 1117312 1117656 1137264 1152312 1172528 1179748 1193466 1256976 1269504 1303932 1316928 1319094 1326808 1340032 1350501 1392377 1436544 1455552 1464064 1481088 1490208 1492659 1507536 1516352 1536416 1591288 1647072 1675968 1705896 1728468 1738576 1755904 1758792 1769622 1790199 1800668 1882368 1940736 1955898 1975392 1986944 1990212 2010048 2064559 2196096 2221632 2234624 2235312 2274528 2304624 2345056 2359496 2386932 2513952 2607864 2633856 2638188 2653616 2654433 2680064 2701002 2784754 2873088 2911104 2962176 2980416 2985318 3015072 3032704 3072832 3151169 3182576 3294144 3351936 3411792 3456936 3477152 3517584 3539244 3580398 3601336 3911796 3950784 3973888 3980424 4020096 4051503 4129118 4177131 4392192 4443264 4470624 4549056 4609248 4690112 4718992 4773864 5027904 5215728 5267712 5276376 5307232 5308866 5402004 5569508 5822208 5960832 5970636 6030144 6065408 6145664 6193677 6302338 6365152 6588288 6703872 6823584 6913872 6954304 7035168 7078488 7160796 7202672 7823592 7901568 7960848 8040192 8103006 8258236 8354262 8553173 8886528 8941248 9098112 9218496 9380224 9437984 9453507 9547728 10055808 10431456 10552752 10614464 10617732 10804008 11139016 11921664 11941272 12060288 12291328 12387354 12531393 12604676 12730304 13176576 13647168 13827744 13908608 14070336 14156976 14321592 14405344 15647184 15803136 15921696 16206012 16516472 16708524 17106346 17882496 18196224 18436992 18581031 18760448 18875968 18907014 19095456 20111616 20862912 21105504 21228928 21235464 21608016 22278032 23882544 24120576 24774708 25062786 25209352 25460608 25659519 27294336 27655488 27817216 28140672 28313952 28360521 28643184 28810688 31294368 31843392 32412024 33032944 33417048 34212692 35764992 36873984 37162062 37751936 37814028 38190912 41725824 42211008 42457856 42470928 43216032 44556064 47765088 49549416 50125572 50418704 50921216 51319038 54588672 55310976 56281344 56627904 56721042 57286368 57621376 59872211 62588736 63686784 64824048 66065888 66834096 68425384 74324124 75503872 75628056 76381824 76978557 83451648 84422016 84941856 86432064 89112128 95530176 99098832 100251144 100837408 102638076 110621952 113255808 113442084 114572736 115242752 119744422 125177472 127373568 129648096 132131776 133668192 136850768 148648248 151256112 152763648 153957114 168844032 169883712 172864128 178224256 179616633 191060352 198197664 200502288 201674816 205276152 226511616 226884168 229145472 239488844 250354944 259296192 264263552 267336384 273701536 297296496 302512224 307914228 339767424 345728256 356448512 359233266 382120704 396395328 401004576 403349632 410552304 453768336 458290944 478977688 518592384 528527104 534672768 538849899 547403072 594592992 605024448 615828456 679534848 718466532 792790656 802009152 806699264 821104608 907536672 957955376 1037184768 1069345536 1077699798 1094806144 1189185984 1210048896 1231656912 1436933064 1585581312 1604018304 1642209216 1815073344 1915910752 2155399596 2189612288 2378371968 2420097792 2463313824 2873866128 3208036608 3284418432 3630146688 3831821504 4310799192 4756743936 4926627648 5747732256 6568836864 7260293376 7663643008 8621598384 9853255296 11495464512 15327286016 17243196768 19706510592 22990929024 34486393536 45981858048 68972787072 137945574144
- Sum of all divisors σ(n): 507886579200
- Sum of proper divisors (its aliquot sum) s(n): 369941005056
- 137945574144 is an abundant number, because the sum of its proper divisors (369941005056) is greater than itself. Its abundance is 231995430912
Bases of 137945574144
- Binary: 100000000111100011001001101011000000002
- Hexadecimal: 0x201E326B00
- Base-36: 1RDD8E80
Squares and roots of 137945574144
- 137945574144 squared (1379455741442) is 19028981425917801332736
- 137945574144 cubed (1379455741443) is 2624963768173742906994395902377984
-
The
square root of 137945574144 is 371410.2504562847 -
The
cube root of 137945574144 is 5166.9698061879
Scales and comparisons
How big is 137945574144?- 137,945,574,144 seconds is equal to 4,386 years, 12 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,945,574,144 would take you about eight thousand, seven hundred seventy-two 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 137945574144 cubic inches would be around 430.6 feet tall.
Recreational maths with 137945574144
- 137945574144 backwards is 441475549731
- The number of decimal digits it has is: 12
- The sum of 137945574144's digits is 54
- More coming soon!
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The information we have on file for 137945574144 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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