137957273225772
137,957,273,225,772 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137957273225772 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
137957273225772 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 137957273225772:
22 × 3 × 72 × 112 × 132 × 234 × 41
(2 × 2 × 3 × 7 × 7 × 11 × 11 × 13 × 13 × 23 × 23 × 23 × 23 × 41)See below for interesting mathematical facts about the number 137957273225772 from the Numbermatics database.
Names of 137957273225772
- Cardinal: 137957273225772 can be written as One hundred thirty-seven trillion, nine hundred fifty-seven billion, two hundred seventy-three million, two hundred twenty-five thousand, seven hundred seventy-two.
Scientific notation
- Scientific notation: 1.37957273225772 × 1014
Factors of 137957273225772
Divisors of 137957273225772
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 7 11 12 13 14 21 22 23 26 28 33 39 41 42 44 46 49 52 66 69 77 78 82 84 91 92 98 121 123 132 138 143 147 154 156 161 164 169 182 196 231 242 246 253 273 276 286 287 294 299 308 322 338 363 364 429 451 462 483 484 492 506 507 529 533 539 546 572 574 588 598 637 644 676 726 759 847 858 861 897 902 924 943 966 1001 1012 1014 1058 1066 1078 1092 1127 1148 1183 1196 1274 1353 1452 1518 1573 1587 1599 1617 1694 1716 1722 1771 1794 1804 1859 1886 1911 1932 2002 2009 2028 2093 2116 2132 2156 2254 2366 2541 2548 2706 2783 2829 3003 3036 3146 3157 3174 3198 3234 3289 3381 3388 3444 3542 3549 3588 3703 3718 3731 3772 3822 3887 4004 4018 4186 4508 4719 4732 4961 5082 5313 5412 5566 5577 5658 5819 5863 5929 6006 6027 6279 6292 6314 6348 6396 6468 6578 6601 6762 6877 6929 7007 7084 7098 7406 7436 7462 7644 7774 8036 8281 8349 8372 9438 9471 9867 9922 10164 10373 10626 11011 11109 11132 11154 11193 11316 11638 11661 11726 11858 12012 12054 12167 12259 12397 12558 12628 13013 13156 13202 13524 13754 13858 14014 14196 14651 14812 14883 14924 15548 16562 16698 17457 17589 17787 18876 18942 19481 19734 19803 19844 20449 20631 20746 20787 21021 21252 21689 22022 22099 22218 22308 22386 23023 23276 23322 23452 23716 24108 24334 24518 24794 24843 25116 25921 26026 26117 26404 27209 27508 27716 28028 29302 29766 31119 33033 33124 33396 34727 34914 35178 35574 36179 36501 36777 37191 37884 38962 39039 39468 39606 40733 40898 41041 41262 41492 41574 42042 42757 43378 43953 44044 44198 44436 44772 46046 46207 46644 48139 48503 48668 49036 49588 49686 51842 52052 52234 54418 58443 58604 59532 61347 62238 64009 64493 65067 66066 66297 69069 69454 69828 70356 71148 72358 72611 73002 73554 74382 75647 76219 77077 77763 77924 78078 78351 79212 81466 81627 81796 82082 82524 83148 84084 85169 85514 85813 86756 87906 88396 89401 91091 92092 92414 96278 97006 99372 103684 104181 104468 108537 108836 114103 116886 122199 122694 123123 124476 128018 128271 128986 130134 132132 132594 133837 134849 136367 138138 138621 138908 143143 144417 144716 145222 145509 146004 147108 148764 151294 151823 152438 154154 155526 156156 156702 158171 159367 161161 162932 163254 164164 170338 171028 171626 175812 178802 182182 184828 190463 192027 192556 193479 194012 208362 217074 217833 226941 228206 228657 231231 233772 238579 243089 244398 245388 246246 253253 255507 256036 256542 257439 257972 260268 265188 267674 268203 269698 272734 273273 276276 277242 279841 281957 285131 286286 287287 288834 290444 291018 299299 302588 303646 304876 308308 311052 313404 316342 318734 322322 326508 336973 339521 340676 342309 343252 357604 364364 380926 384054 386958 401511 404547 409101 416724 429429 434148 435666 448063 451451 453882 455469 456412 457314 462462 470327 474513 477158 478101 483483 486178 488796 492492 498847 506506 508277 511014 513084 514878 529529 533533 535348 536406 539396 545468 546546 554484 559682 563914 570262 571389 572572 574574 577668 582036 596183 598598 600691 607292 625807 632684 637468 644644 673946 679042 684618 715737 729267 759759 761852 768108 773916 798721 803022 809094 818202 832117 838409 839523 845871 855393 858858 861861 871332 896126 897897 902902 907764 910938 914628 924924 936859 940654 943943 949026 954316 956202 966966 972356 983411 997694 1002001 1010919 1013012 1016554 1018563 1022028 1029756 1059058 1062761 1067066 1072812 1093092 1107197 1115569 1119364 1127828 1140524 1142778 1149148 1192366 1197196 1201382 1251614 1344189 1347892 1354353 1358084 1369236 1410981 1431474 1458534 1472207 1483339 1496541 1519518 1524831 1588587 1597442 1600599 1606044 1618188 1636404 1664234 1670053 1676818 1679046 1691742 1710786 1717716 1723722 1739881 1753037 1772771 1788549 1792252 1795794 1802073 1805804 1821876 1873718 1877421 1881308 1887886 1898052 1912404 1933932 1958887 1966822 1973699 1995388 2004002 2021838 2033108 2037126 2056223 2095093 2118116 2125522 2134132 2214394 2231138 2285556 2384732 2396163 2402764 2496351 2503228 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81547466 82164082 82273254 82606524 82895358 84305143 85254169 85898813 86191028 86361366 86842756 90473812 90790154 92184092 93004548 93707796 94586258 96374278 97774012 100754927 101582283 101862124 102350391 102632348 110223498 114832146 115233657 115700442 120051789 120720974 120959553 122321199 123246123 123665388 124600476 126208291 128594081 129286542 129810252 130264134 133970837 134983849 135443044 135710718 136185231 136467188 137681772 138276138 140284452 141879387 142670242 144276286 144561417 145367222 146150004 146661018 147255108 149155253 150834299 151445294 151974823 152793186 153644876 153948522 158329171 160069052 160628734 161279404 163094932 164328164 164546508 165790716 168610286 170508338 171797626 172722732 178258717 179606609 181081461 181580308 189172516 192748556 201509854 203164566 204700782 214005363 216414429 218050833 220446996 227167941 229664292 230467314 231400884 237025327 238817579 240103578 240943101 241441948 241919106 244642398 246492246 248802983 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784686331 803825022 806635599 809903094 840362523 845046818 846716871 856021452 865657716 872203332 880379786 883458037 887036722 894931518 905005794 908671764 911848938 927356573 937795859 944886943 948101308 949975026 953296617 955270316 963772404 993155709 995211932 998691694 1011661716 1023050028 1030785756 1040448838 1044086771 1060117058 1069552302 1075514132 1077639654 1108304197 1120483364 1124401138 1128955828 1180272002 1209059124 1267570227 1271062156 1320569679 1324207612 1330555083 1388291201 1422151962 1432905474 1492817898 1498037541 1514499492 1543128972 1560673257 1569372662 1590175587 1607650044 1613271198 1619806188 1640707783 1659177289 1671723053 1680725046 1686601707 1690093636 1693433742 1741620881 1760759572 1766916074 1770408003 1774073444 1789863036 1810011588 1823697876 1854713146 1875591718 1889773886 1899950052 1906593234 1939018289 1960845887 1975672699 1986311418 1997383388 2080897676 2088173542 2120234116 2139104604 2155279308 2216608394 2248802276 2317363321 2354058993 2360544004 2535140454 2641139358 2650374111 2661110166 2776582402 2782069719 2813387577 2834660829 2844303924 2865810948 2957663863 2985635796 2996075082 3081329251 3104628527 3121346514 3132260313 3138745324 3180351174 3226542396 3281415566 3318354578 3324912591 3343446106 3361450092 3373203414 3386867484 3483241762 3495420929 3533832148 3540816006 3641570933 3709426292 3751183436 3779547772 3813186468 3878036578 3921691774 3951345398 3972622836 4130952007 4164873603 4176347084 4433216788 4634726642 4708117986 4922123349 4977531867 5015169159 5070280908 5224862643 5282278716 5300748222 5322220332 5492804317 5553164804 5564139438 5626775154 5669321658 5722468609 5817054867 5882537661 5915327726 5927018097 5992150164 6162658502 6184206259 6209257054 6242693028 6264520626 6360702348 6491496011 6562831132 6636709156 6649825182 6686892212 6746406828 6952089963 6966483524 6990841858 7081632012 7283141866 7308607397 7756073156 7843383548 7902690796 8261904014 8329747206 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38449630219 38872153628 38948976066 40057280263 40719384069 40803689212 41945051148 42658402358 43138609514 43464799378 43698851196 43851644382 45440472077 45939817924 48765384668 49571424084 50981993062 54143356839 54292512092 58308230442 61205533818 63987603537 64707914271 65197199067 65913651804 68026268849 68669623308 68909726886 71406456121 72191142452 73148077002 74210475108 76472989593 76899260438 77897952132 80114560526 80394681367 81438768138 85316804716 86277219028 86929598756 87703288764 90880944154 95011896161 101963986124 108286713678 115348890657 116616460884 120171840789 122411067636 126334499291 127975207074 129415828542 130394398134 136052537698 136321416231 137819453772 142812912242 146296154004 149304408253 152945979186 153798520876 160229121052 160789362734 162877536276 181761888308 190023792322 204078806547 214219368363 216573427356 230697781314 234621212969 240343681578 241184044101 252668998582 255950414148 258831657084 260788796268 272105075396 272642832462 280400961841 285035688483 285625824484 298608816506 305891958372 321578725468 379003497873 380047584644 408157613094 428438736726 447913224759 461395562628 469242425938 480687363156 482368088202 499845192847 505337997164 545285664924 560801923682 570071376966 597217633012 703863638907 758006995746 816315226188 841202885523 856877473452 884341495037 895826449518 938484851876 964736176404 999690385694 1045130857771 1121603847364 1140142753932 1407727277814 1499535578541 1516013991492 1642348490783 1682405771046 1768682990074 1791652899036 1999380771388 2090261715542 2653024485111 2815454555628 2999071157082 3135392573313 3284696981566 3364811542092 3537365980148 4180523431084 4927045472349 5306048970222 5998142314164 6270785146626 6569393963132 9854090944698 10612097940444 11496439435481 12541570293252 19708181889396 22992878870962 34489318306443 45985757741924 68978636612886 137957273225772
- Sum of all divisors σ(n): 477310886542728
- Sum of proper divisors (its aliquot sum) s(n): 339353613316956
- 137957273225772 is an abundant number, because the sum of its proper divisors (339353613316956) is greater than itself. Its abundance is 201396340091184
Bases of 137957273225772
- Binary: 111110101111000101011100100001111001010001011002
- Hexadecimal: 0x7D78AE43CA2C
- Base-36: 1CWGP2IZHO
Squares and roots of 137957273225772
- 137957273225772 squared (1379572732257722) is 19032209235890307930484995984
- 137957273225772 cubed (1379572732257723) is 2625631689645780552825410215450050145299648
-
The
square root of 137957273225772 is 11745521.4114049445 -
The
cube root of 137957273225772 is 51671.1587126673
Scales and comparisons
How big is 137957273225772?- 137,957,273,225,772 seconds is equal to 4,386,614 years, 29 weeks, 8 hours, 56 minutes, 12 seconds.
-
To count from 1 to 137,957,273,225,772 would take you about ten million, nine hundred sixty-six thousand, five hundred thirty-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 137957273225772 cubic inches would be around 4305.9 feet tall.
Recreational maths with 137957273225772
- 137957273225772 backwards is 277522372759731
- 137957273225772 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137957273225772's digits is 69
- More coming soon!
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"Number 137957273225772 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 137957273225772 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137957273225772/
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Numbermatics. 2024. "Number 137957273225772 - Facts about the integer". https://numbermatics.com/n/137957273225772/
The information we have on file for 137957273225772 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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