137948504400

Names of 137948504400

• Cardinal: 137948504400 can be written as One hundred thirty-seven billion, nine hundred forty-eight million, five hundred four thousand, four hundred.

Scientific notation

• Scientific notation: 1.379485044 × 10¹¹

Factors of 137948504400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 636

Divisors of 137948504400

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 35 36 38 40 42 45 48 49 50 56 57 60 63 70 72 75 76 79 80 84 90 95 98 100 105 112 114 120 126 133 140 144 147 150 152 158 168 171 175 180 190 196 200 210 225 228 237 240 245 252 266 280 285 294 300 304 315 316 336 342 350 360 380 392 395 399 400 420 441 450 456 474 475 490 504 521 525 532 553 560 570 588 600 630 632 665 684 700 711 720 735 760 784 790 798 840 855 882 900 912 931 948 950 980 1008 1042 1050 1064 1106 1140 1176 1185 1197 1200 1225 1260 1264 1330 1368 1400 1422 1425 1470 1501 1520 1563 1575 1580 1596 1659 1680 1710 1764 1800 1862 1896 1900 1960 1975 1995 2084 2100 2128 2205 2212 2280 2352 2370 2394 2450 2520 2605 2660 2736 2765 2793 2800 2844 2850 2940 3002 3126 3150 3160 3192 3318 3325 3420 3528 3555 3600 3647 3675 3724 3792 3800 3871 3920 3950 3990 4168 4200 4275 4410 4424 4503 4560 4655 4689 4740 4788 4900 4977 5040 5210 5320 5530 5586 5688 5700 5880 5925 5985 6004 6252 6300 6320 6384 6636 6650 6840 7056 7110 7294 7350 7448 7505 7600 7742 7815 7900 7980 8295 8336 8379 8400 8550 8820 8848 9006 9310 9378 9480 9576 9800 9899 9954 9975 10420 10507 10640 10941 11025 11060 11172 11376 11400 11613 11760 11850 11970 12008 12504 12600 13025 13272 13300 13509 13680 13825 13965 14220 14588 14700 14896 15010 15484 15630 15800 15960 16590 16758 17100 17640 17775 18012 18235 18620 18756 18960 19152 19355 19600 19798 19908 19950 20840 21014 21882 22050 22120 22344 22515 22800 23226 23275 23445 23700 23940 24016 24885 25008 25200 25529 26050 26544 26600 27018 27650 27930 28440 29176 29400 29697 29925 30020 30968 31260 31521 31600 31920 32823 33180 33516 34200 34839 35280 35550 36024 36470 37240 37512 37525 38710 39075 39596 39816 39900 41159 41475 41680 41895 42028 43764 44100 44240 44688 45030 46452 46550 46890 47400 47880 49495 49770 51058 52100 52535 53200 54036 54705 55300 55860 56880 58065 58352 58800 59394 59850 60040 61936 62520 63042 65646 66360 67032 67545 68400 69293 69678 69825 71100 72048 72940 73549 74480 75024 75050 76587 77420 78150 79192 79632 79800 82318 82950 83790 84056 87528 88200 89091 90060 91175 92904 93100 93780 94563 94800 95760 96775 98990 99540 102116 104200 105070 108072 109410 110600 111720 112575 116130 117225 118788 119700 120080 123477 124425 125040 126084 127645 131292 132720 134064 135090 138586 139356 139650 142200 145880 147098 148485 150100 153174 154840 156300 157605 158384 159600 164115 164636 165900 167580 168112 174195 175056 176400 178182 180120 182350 185808 186200 187560 189126 193550 197980 199080 204232 205795 207879 208400 209475 210140 216144 218820 220647 221200 223440 225150 229761 232260 234450 237576 239400 246954 247475 248850 252168 255290 262584 262675 270180 273525 277172 278712 279300 284400 288113 290325 291760 294196 296970 300200 306348 309680 312600 315210 328230 329272 331800 335160 337725 346465 348390 356364 360240 364700 367745 370431 372400 375120 378252 382935 387100 395960 398160 408464 411590 415758 418950 420280 437640 441294 445455 450300 459522 464520 468900 472815 475152 478800 485051 493908 494950 497700 504336 510580 525168 525350 540360 547050 554344 557424 558600 576226 580650 588392 593940 600400 612696 617385 623637 625200 630420 638225 656460 658544 661941 663600 670320 675450 692930 696780 712728 729400 735490 740862 742425 756504 765870 774200 782021 788025 791920 820575 823180 831516 837900 840560 864339 870975 875280 882588 890910 900600 919044 929040 937800 945630 970102 987816 989900 995400 1021160 1028975 1039395 1050700 1080720 1094100 1103235 1108688 1117200 1148805 1152452 1161300 1176784 1187880 1225392 1234770 1247274 1260840 1276450 1312920 1323882 1350900 1385860 1393560 1425456 1440565 1455153 1458800 1470980 1481724 1484850 1513008 1531740 1548400 1564042 1576050 1641150 1646360 1663032 1675800 1728678 1732325 1741950 1765176 1781820 1801200 1838088 1838725 1852155 1875600 1891260 1914675 1940204 1975632 1979800 1990800 2016791 2042320 2057950 2078790 2101400 2188200 2206470 2227275 2297610 2304904 2322600 2346063 2364075 2375760 2425255 2469540 2494548 2521680 2552900 2593017 2625840 2647764 2701800 2771720 2787120 2881130 2910306 2941960 2963448 2969700 3063480 3086925 3118185 3128084 3152100 3282300 3292720 3309705 3326064 3351600 3457356 3464650 3483900 3530352 3563640 3676176 3677450 3704310 3782520 3829350 3880408 3910105 3959600 4033582 4115900 4157580 4202800 4321695 4365459 4376400 4412940 4454550 4595220 4609808 4645200 4692126 4728150 4850510 4939080 4989096 5105800 5186034 5196975 5295528 5403600 5474147 5516175 5543440 5744025 5762260 5820612 5883920 5926896 5939400 6050373 6126960 6173850 6236370 6256168 6304200 6564600 6619410 6914712 6929300 6967800 7038189 7127280 7202825 7275765 7354900 7408620 7565040 7658700 7760816 7820210 8067164 8231800 8315160 8643390 8730918 8825880 8909100 9190440 9260775 9384252 9456300 9701020 9878160 9978192 10083955 10211600 10372068 10393950 10591056 10948294 11032350 11488050 11524520 11641224 11730315 11878800 12100746 12126275 12347700 12472740 12512336 12608400 12965085 13129200 13238820 13829424 13858600 13935600 14076378 14405650 14551530 14709800 14817240 15317400 15590925 15640420 16134328 16422441 16463600 16548525 16630320 17286780 17461836 17651760 17818200 18151119 18380880 18521550 18768504 18912600 19402040 19550525 20167910 20744136 20787900 21608475 21827295 21896588 22064700 22976100 23049040 23282448 23460630 24201492 24252550 24695400 24945480 25930170 26477640 27370735 27717200 28152756 28811300 29103060 29419600 29634480 30251865 30634800 31181850 31280840 32268656 32844882 33097050 34573560 34923672 35190945 35636400 36302238 36378825 37043100 37537008 37825200 38319029 38804080 39101050 40335820 41488272 41575800 43216950 43654590 43793176 44129400 45952200 46921260 48402984 48505100 49267323 49390800 49890960 50419775 51860340 52955280 54741470 56305512 57622600 58206120 58651575 60503730 62363700 62561680 64825425 65689764 66194100 69147120 69847344 70381890 72604476 72757650 74086200 76638058 78202100 80671640 82112205 83151600 86433900 87309180 87586352 88258800 90755595 91904400 93842520 96805968 97010200 98534646 100839550 103720680 109136475 109482940 112611024 114957087 115245200 116412240 117303150 121007460 124727400 129650850 131379528 132388200 136853675 140763780 145208952 145515300 148172400 151259325 153276116 156404200 161343280 164224410 172867800 174618360 175954725 181511190 187685040 191595145 194020400 197069292 201679100 207441360 218272950 218965880 229914174 234606300 242014920 246336615 249454800 259301700 262759056 264776400 273707350 281527560 290417904 291030600 302518650 306552232 312808400 328448820 344871261 345735600 349236720 351909450 363022380 383190290 394138584 403358200 410561025 436545900 437931760 453777975 459828348 469212600 484029840 492673230 518603400 547414700 563055120 574785435 582061200 605037300 613104464 656897640 689742522 703818900 726044760 766380580 788277168 806716400 821122050 873091800 907555950 919656696 938425200 957975725 985346460 1037206800 1094829400 1149570870 1210074600 1231683075 1313795280 1379485044 1407637800 1452089520 1532761160 1642244100 1724356305 1746183600 1815111900 1839313392 1915951450 1970692920 2189658800 2299141740 2420149200 2463366150 2758970088 2815275600 2873927175 3065522320 3284488200 3448712610 3630223800 3831902900 3941385840 4598283480 4926732300 5517940176 5747854350 6568976400 6897425220 7260447600 7663805800 8621781525 9196566960 9853464600 11495708700 13794850440 15327611600 17243563050 19706929200 22991417400 27589700880 34487126100 45982834800 68974252200 137948504400
• Sum of all divisors σ(n): 594746755200
• Sum of proper divisors (its aliquot sum) s(n): 456798250800
• 137948504400 is an abundant number, because the sum of its proper divisors (456798250800) is greater than itself. Its abundance is 318849746400

Bases of 137948504400

• Binary: 10000000011110010111110010000101010000₂
• Hexadecimal: 0x201E5F2150
• Base-36: 1RDEZ780

Squares and roots of 137948504400

• 137948504400 squared (137948504400²) is 19029789866196819360000
• 137948504400 cubed (137948504400³) is 2625131051088127346748965184000000
• The square root of 137948504400 is 371414.1952052991
• The cube root of 137948504400 is 5167.0063917211

Scales and comparisons

• 137,948,504,400 seconds is equal to 4,386 years, 17 weeks, 3 days, 5 hours.
• To count from 1 to 137,948,504,400 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 137948504400 cubic inches would be around 430.6 feet tall.

Recreational maths with 137948504400

• 137948504400 backwards is 004405849731
• 137948504400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137948504400's digits is 45
• More coming soon!