137996645270400
137,996,645,270,400 is an even composite number composed of seven prime numbers multiplied together.
137996645270400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137996645270400:
27 × 32 × 52 × 7 × 61 × 3169 × 3541
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 61 × 3169 × 3541)See below for interesting mathematical facts about the number 137996645270400 from the Numbermatics database.
Names of 137996645270400
- Cardinal: 137996645270400 can be written as One hundred thirty-seven trillion, nine hundred ninety-six billion, six hundred forty-five million, two hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.379966452704 × 1014
Factors of 137996645270400
Divisors of 137996645270400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 61 63 64 70 72 75 80 84 90 96 100 105 112 120 122 126 128 140 144 150 160 168 175 180 183 192 200 210 224 225 240 244 252 280 288 300 305 315 320 336 350 360 366 384 400 420 427 448 450 480 488 504 525 549 560 576 600 610 630 640 672 700 720 732 800 840 854 896 900 915 960 976 1008 1050 1098 1120 1152 1200 1220 1260 1281 1344 1400 1440 1464 1525 1575 1600 1680 1708 1800 1830 1920 1952 2016 2100 2135 2196 2240 2400 2440 2520 2562 2688 2745 2800 2880 2928 3050 3150 3169 3200 3360 3416 3541 3600 3660 3843 3904 4032 4200 4270 4392 4480 4575 4800 4880 5040 5124 5490 5600 5760 5856 6100 6300 6338 6405 6720 6832 7082 7200 7320 7686 7808 8064 8400 8540 8784 9150 9507 9600 9760 10080 10248 10623 10675 10980 11200 11712 12200 12600 12676 12810 13440 13664 13725 14164 14400 14640 15372 15845 16800 17080 17568 17705 18300 19014 19215 19520 20160 20496 21246 21350 21960 22183 22400 23424 24400 24787 25200 25352 25620 27328 27450 28328 28521 28800 29280 30744 31690 31869 32025 33600 34160 35136 35410 36600 38028 38430 39040 40320 40992 42492 42700 43920 44366 47535 48800 49574 50400 50704 51240 53115 54656 54900 56656 57042 58560 61488 63380 63738 64050 66549 67200 68320 70272 70820 73200 74361 76056 76860 79225 81984 84984 85400 87840 88525 88732 95070 96075 97600 99148 100800 101408 102480 106230 109800 110915 113312 114084 117120 122976 123935 126760 127476 128100 133098 136640 141640 142605 146400 148722 152112 153720 158450 159345 163968 169968 170800 175680 177050 177464 190140 192150 193309 195200 198296 199647 201600 202816 204960 212460 216001 219600 221830 223083 226624 228168 237675 245952 247870 253520 254952 256200 265575 266196 273280 283280 285210 292800 297444 304224 307440 316900 318690 332745 339936 341600 351360 354100 354928 371805 380280 384300 386618 396592 399294 405632 409920 424920 432002 439200 443660 446166 453248 456336 475350 491904 495740 507040 509904 512400 531150 532392 554575 566560 570420 579927 585600 594888 608448 614880 619675 633800 637380 648003 665490 679872 683200 708200 709856 713025 743610 760560 768600 773236 793184 796725 798588 819840 849840 864004 878400 887320 892332 912672 950700 966545 991480 998235 1014080 1019808 1024800 1062300 1064784 1080005 1109150 1115415 1133120 1140840 1159854 1189776 1216896 1229760 1239350 1267600 1274760 1296006 1330980 1353163 1359744 1366400 1416400 1419712 1426050 1487220 1512007 1521120 1537200 1546472 1586368 1593450 1597176 1663725 1699680 1728008 1739781 1756800 1774640 1784664 1825344 1859025 1901400 1933090 1944009 1982960 1996470 2028160 2039616 2049600 2124600 2129568 2160010 2218300 2230830 2266240 2281680 2319708 2379552 2459520 2478700 2535200 2549520 2592012 2661960 2706326 2832800 2839424 2852100 2899635 2974440 3024014 3042240 3074400 3092944 3172736 3186900 3194352 3240015 3327450 3399360 3456016 3479562 3549280 3569328 3650688 3718050 3802800 3866180 3888018 3965920 3992940 4059489 4079232 4099200 4249200 4259136 4320020 4436600 4461660 4536021 4563360 4639416 4759104 4832725 4957400 4991175 5070400 5099040 5184024 5323920 5400025 5412652 5577075 5665600 5704200 5799270 5948880 6048028 6084480 6148800 6185888 6373800 6388704 6480030 6654900 6765815 6798720 6912032 6959124 7098560 7138656 7436100 7560035 7605600 7732360 7776036 7931840 7985880 8118978 8498400 8518272 8640040 8698905 8873200 8923320 9072042 9126720 9278832 9518208 9665450 9720045 9914800 9982350 10140800 10198080 10368048 10647840 10800050 10825304 11154150 11221429 11331200 11408400 11598540 11897760 12096056 12178467 12297600 12371776 12747600 12777408 12960060 13309800 13531630 13608063 13824064 13918248 14197120 14277312 14498175 14872200 15120070 15211200 15464720 15552072 15863680 15971760 16200075 16237956 16996800 17280080 17397810 17746400 17846640 18144084 18253440 18557664 19330900 19440090 19829600 19964700 20297445 20396160 20736096 21295680 21600100 21650608 22308300 22442858 22680105 22816800 23197080 23795520 24192112 24356934 24743552 25495200 25554816 25920120 26619600 27063260 27216126 27648128 27836496 28554624 28996350 29744400 30240140 30422400 30929440 31104144 31943520 32400150 32475912 33664287 33829075 33993600 34560160 34795620 35492800 35693280 36288168 37115328 37800175 38661800 38880180 39659200 39929400 40594890 41472192 42591360 43200200 43301216 43494525 44616600 44885716 45360210 45633600 46394160 47591040 48384224 48600225 48713868 50990400 51840240 53239200 54126520 54432252 55672992 56107145 57992700 59488800 60480280 60892335 61858880 62208288 63887040 64800300 64951824 67328574 67658150 68040315 69120320 69591240 70985600 71386560 72576336 74230656 75600350 77323600 77760360 78550003 79318400 79858800 81189780 82944384 86400400 86602432 86989050 89233200 89771432 90720420 91267200 92788320 96768448 97200450 97427736 100992861 101487225 101980800 103680480 106478400 108253040 108864504 111345984 112214290 113400525 115985400 118977600 120960560 121784670 123717760 124416576 127774080 129600600 129903648 134657148 135316300 136080630 138240640 139182480 142773120 145152672 151200700 154647200 155520720 157100006 159717600 162379560 168321435 172800800 173204864 173978100 178466400 179542864 181440840 185576640 193536896 194400900 194855472 201985722 202974450 207360960 212956800 216506080 217729008 222691968 224428580 226801050 231970800 235650009 237955200 241921120 243569340 248833152 259201200 259807296 269314296 270632600 272161260 278364960 280535725 290305344 302401400 304461675 309294400 311041440 314200012 319435200 324759120 336642870 340201575 345601600 347956200 356932800 359085728 362881680 371153280 388801800 389710944 392750015 403971444 405948900 414721920 433012160 435458016 448857160 453602100 463941600 471300018 483842240 487138680 504964305 518402400 519614592 538628592 541265200 544322520 556729920 561071450 580610688 604802800 608923350 618588800 622082880 628400024 638870400 649518240 673285740 680403150 684507169 691203200 695912400 706950027 713865600 718171456 725763360 777603600 779421888 785500030 807942888 811897800 841607175 866024320 870916032 897714320 907204200 927883200 942600036 967684480 974277360 1009928610 1036804800 1077257184 1082530400 1088645040 1113459840 1122142900 1178250045 1209605600 1217846700 1244165760 1256800048 1299036480 1346571480 1360806300 1369014338 1391824800 1413900054 1436342912 1451526720 1555207200 1558843776 1571000060 1615885776 1623795600 1683214350 1741832064 1795428640 1814408400 1855766400 1885200072 1948554720 1963750075 2019857220 2053521507 2073609600 2154514368 2165060800 2177290080 2244285800 2356500090 2419211200 2435693400 2513600096 2524821525 2598072960 2693142960 2721612600 2738028676 2783649600 2827800108 2903053440 3110414400 3142000120 3231771552 3247591200 3366428700 3422535845 3534750135 3590857280 3628816800 3770400144 3897109440 3927500150 4039714440 4107043014 4309028736 4330121600 4354580160 4488571600 4713000180 4791550183 4838422400 4871386800 5027200192 5049643050 5386285920 5443225200 5476057352 5567299200 5655600216 5891250225 6160564521 6220828800 6284000240 6463543104 6495182400 6732857400 6845071690 7069500270 7181714560 7257633600 7540800288 7794218880 7855000300 8079428880 8214086028 8709160320 8977143200 9426000360 9583100366 9742773600 10054400384 10099286100 10267607535 10772571840 10886450400 10952114704 11311200432 11782500450 12321129042 12568000480 12927086208 12990364800 13465714800 13690143380 14139000540 14374650549 14515267200 15081600576 15710000600 16158857760 16428172056 17112679225 17673750675 17954286400 18852000720 19166200732 19485547200 20198572200 20535215070 21545143680 21772900800 21904229408 22622400864 23565000900 23957750915 24642258084 25136000960 26931429600 27380286760 28278001080 28749301098 30163201152 30802822605 31420001200 32317715520 32856344112 34225358450 35347501350 35908572800 37704001440 38332401464 38971094400 40397144400 41070430140 43123951647 43545801600 43808458816 45244801728 47130001800 47915501830 49284516168 50272001920 51338037675 53862859200 54760573520 56556002160 57498602196 61605645210 62840002400 64635431040 65712688224 68450716900 70695002700 71873252745 75408002880 76664802928 80794288800 82140860280 86247903294 87616917632 90489603456 94260003600 95831003660 98569032336 102676075350 107725718400 109521147040 113112004320 114997204392 119788754575 123211290420 125680004800 131425376448 136901433800 141390005400 143746505490 150816005760 153329605856 154014113025 161588577600 164281720560 172495806588 188520007200 191662007320 197138064672 205352150700 215619758235 219042294080 226224008640 229994408784 239577509150 246422580840 251360009600 262850752896 273802867600 282780010800 287493010980 306659211712 308028226050 323177155200 328563441120 344991613176 359366263725 377040014400 383324014640 394276129344 410704301400 431239516470 438084588160 452448017280 459988817568 479155018300 492845161680 547605735200 565560021600 574986021960 613318423424 616056452100 657126882240 689983226352 718732527450 754080028800 766648029280 788552258688 821408602800 862479032940 919977635136 958310036600 985690323360 1078098791175 1095211470400 1131120043200 1149972043920 1232112904200 1314253764480 1379966452704 1437465054900 1533296058560 1642817205600 1724958065880 1839955270272 1916620073200 1971380646720 2156197582350 2190422940800 2262240086400 2299944087840 2464225808400 2759932905408 2874930109800 3066592117120 3285634411200 3449916131760 3833240146400 3942761293440 4312395164700 4599888175680 4928451616800 5519865810816 5749860219600 6571268822400 6899832263520 7666480292800 8624790329400 9199776351360 9856903233600 11499720439200 13799664527040 15332960585600 17249580658800 19713806467200 22999440878400 27599329054080 34499161317600 45998881756800 68998322635200 137996645270400
- Sum of all divisors σ(n): 572314464321600
- Sum of proper divisors (its aliquot sum) s(n): 434317819051200
- 137996645270400 is an abundant number, because the sum of its proper divisors (434317819051200) is greater than itself. Its abundance is 296321173780800
Bases of 137996645270400
- Binary: 111110110000001110110010000010110000011100000002
- Hexadecimal: 0x7D81D9058380
- Base-36: 1CWYS7MJK0
Squares and roots of 137996645270400
- 137996645270400 squared (1379966452704002) is 19043074105884610689116160000
- 137996645270400 cubed (1379966452704003) is 2627880342247698270460366825620209664000000
-
The
square root of 137996645270400 is 11747197.3368288999 -
The
cube root of 137996645270400 is 51676.0737746895
Scales and comparisons
How big is 137996645270400?- 137,996,645,270,400 seconds is equal to 4,387,866 years, 24 weeks, 2 days, 8 hours.
-
To count from 1 to 137,996,645,270,400 would take you about ten million, nine hundred sixty-nine thousand, six hundred sixty-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 137996645270400 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137996645270400
- 137996645270400 backwards is 004072546699731
- 137996645270400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137996645270400's digits is 63
- More coming soon!
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The information we have on file for 137996645270400 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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