137056308480

Names of 137056308480

• Cardinal: 137056308480 can be written as One hundred thirty-seven billion, fifty-six million, three hundred eight thousand, four hundred eighty.

Scientific notation

• Scientific notation: 1.3705630848 × 10¹¹

Factors of 137056308480

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1032

Divisors of 137056308480

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 26 28 30 32 35 36 38 39 40 42 45 48 49 52 56 57 60 63 64 65 70 72 76 78 80 84 90 91 95 96 98 104 105 112 114 117 120 126 128 130 133 140 144 147 152 156 160 168 171 180 182 190 192 195 196 208 210 224 228 234 240 245 247 252 256 260 266 273 280 285 288 294 304 312 315 320 336 342 360 364 380 384 390 392 399 416 420 441 448 455 456 468 480 490 494 504 520 532 546 560 570 576 585 588 608 624 630 637 640 665 672 684 720 728 735 741 760 768 780 784 798 819 832 840 855 882 896 910 912 931 936 960 980 983 988 1008 1040 1064 1092 1120 1140 1152 1170 1176 1197 1216 1235 1248 1260 1274 1280 1330 1344 1365 1368 1440 1456 1470 1482 1520 1560 1568 1596 1638 1664 1680 1710 1729 1764 1792 1820 1824 1862 1872 1911 1920 1960 1966 1976 1995 2016 2080 2128 2184 2205 2223 2240 2280 2304 2340 2352 2394 2432 2470 2496 2520 2548 2660 2688 2730 2736 2793 2880 2912 2940 2949 2964 3040 3120 3136 3185 3192 3276 3328 3360 3420 3458 3528 3640 3648 3705 3724 3744 3822 3840 3920 3932 3952 3990 4032 4095 4160 4256 4368 4410 4446 4480 4560 4655 4680 4704 4788 4864 4915 4940 4992 5040 5096 5187 5320 5376 5460 5472 5586 5733 5760 5824 5880 5898 5928 5985 6080 6240 6272 6370 6384 6552 6720 6840 6881 6916 7056 7280 7296 7410 7448 7488 7644 7840 7864 7904 7980 8064 8190 8320 8379 8512 8645 8736 8820 8847 8892 8960 9120 9310 9360 9408 9555 9576 9830 9880 9984 10080 10192 10374 10640 10920 10944 11115 11172 11466 11520 11648 11760 11796 11856 11970 12103 12160 12480 12544 12740 12768 12779 13104 13440 13680 13762 13832 13965 14112 14560 14592 14745 14820 14896 14976 15288 15561 15680 15728 15808 15960 16128 16380 16640 16758 17024 17290 17472 17640 17694 17784 18240 18620 18677 18720 18816 19110 19152 19660 19760 20160 20384 20643 20748 21280 21840 21888 22230 22344 22932 23296 23520 23592 23712 23940 24206 24320 24960 25480 25536 25558 25935 26208 26880 27360 27524 27664 27930 28224 28665 29120 29490 29640 29792 29952 30576 31122 31360 31456 31616 31920 32760 33516 34048 34405 34580 34944 35280 35388 35568 36309 36480 37240 37354 37440 37632 38220 38304 38337 39320 39520 40320 40768 41286 41496 41895 42560 43680 43776 44235 44460 44688 45864 47040 47184 47424 47880 48167 48412 49920 50960 51072 51116 51870 52416 54720 55048 55328 55860 56031 56448 57330 58240 58980 59280 59584 60515 61152 61929 62244 62720 62912 63232 63840 63895 65520 67032 68810 69160 69888 70560 70776 71136 72618 72960 74480 74708 74880 76440 76608 76674 77805 78640 79040 80640 81536 82572 82992 83790 85120 87360 88470 88920 89376 89453 91728 93385 94080 94368 94848 95760 96334 96824 101920 102144 102232 103215 103740 104832 108927 109440 110096 110656 111720 112062 112896 114660 115011 116480 117960 118560 119168 121030 122304 123858 124488 125824 127680 127790 130739 131040 134064 137620 138320 141120 141552 142272 144501 145236 148960 149416 149760 152880 153216 153348 155610 157280 158080 163072 165144 165984 167580 168093 170240 174720 176940 177840 178752 178906 181545 183456 186770 188160 188736 189696 191520 191685 192668 193648 203840 204464 206430 207480 209664 217854 218880 220192 221312 223440 224124 229320 230022 235920 237120 238336 240835 242060 242801 244608 247716 248976 251648 255360 255580 261478 262080 268128 268359 275240 276640 280155 282240 283104 284544 289002 290472 297920 298832 305760 306432 306696 309645 311220 314560 316160 330288 331968 335160 336186 349440 353880 355680 357504 357812 363090 366912 373540 377472 383040 383370 385336 387296 392217 407680 408928 412860 414960 433503 435708 440384 442624 446880 447265 448248 458640 460044 471840 474240 481670 484120 485602 489216 495432 497952 510720 511160 522956 524160 536256 536718 544635 550480 553280 560310 564480 566208 569088 575055 578004 580944 595840 597664 611520 613392 619290 622440 626171 629120 653695 660576 663936 670320 672372 707760 711360 715008 715624 722505 726180 728403 733824 747080 754944 766080 766740 770672 774592 784434 805077 815360 817856 825720 829920 840465 867006 871416 880768 893760 894530 896496 915173 917280 920088 943680 948480 963340 968240 971204 990864 995904 1022320 1045912 1048320 1072512 1073436 1089270 1100960 1106560 1120620 1132416 1150110 1156008 1161888 1176651 1191680 1195328 1214005 1223040 1226784 1238580 1244880 1252342 1258240 1307390 1321152 1327872 1340640 1341795 1344744 1415520 1422720 1431248 1445010 1452360 1456806 1467648 1494160 1532160 1533480 1541344 1549184 1568868 1610154 1635712 1651440 1659840 1680930 1699607 1734012 1742832 1761536 1787520 1789060 1792992 1830346 1834560 1840176 1878513 1887360 1926680 1936480 1942408 1961085 1981728 1991808 2044640 2091824 2145024 2146872 2167515 2178540 2185209 2201920 2213120 2241240 2264832 2300220 2312016 2323776 2353302 2390656 2428010 2446080 2453568 2477160 2489760 2504684 2614780 2642304 2681280 2683590 2689488 2745519 2831040 2845440 2862496 2890020 2904720 2913612 2988320 3066960 3082688 3098368 3130855 3137736 3220308 3271424 3302880 3319680 3361860 3399214 3468024 3485664 3575040 3578120 3585984 3642015 3660692 3669120 3680352 3757026 3774720 3853360 3872960 3884816 3922170 3963456 3983616 4025385 4089280 4183648 4293744 4335030 4357080 4370418 4403840 4482480 4575865 4600440 4624032 4647552 4706604 4781312 4856020 4907136 4954320 4979520 5009368 5098821 5229560 5284608 5362560 5367180 5378976 5491038 5635539 5662080 5724992 5780040 5809440 5827224 5883255 5976640 6133920 6165376 6261710 6275472 6440616 6605760 6639360 6723720 6798428 6936048 6971328 7156240 7171968 7284030 7321384 7338240 7360704 7514052 7706720 7745920 7769632 7844340 7926912 8050770 8178560 8236557 8367296 8498035 8587488 8670060 8714160 8740836 8807680 8964960 9151730 9200880 9248064 9295104 9392565 9413208 9712040 9814272 9908640 9959040 10018736 10197642 10459120 10725120 10734360 10757952 10926045 10982076 11271078 11324160 11449984 11560080 11618880 11654448 11766510 11897249 11953280 12267840 12330752 12523420 12550944 12881232 13211520 13447440 13596856 13727595 13872096 13942656 14312480 14343936 14568060 14642768 14721408 15028104 15296463 15413440 15491840 15539264 15688680 15853824 16101540 16357120 16473114 16734592 16996070 17174976 17340120 17428320 17481672 17929920 18303460 18401760 18496128 18785130 18826416 19424080 19817280 19918080 20037472 20395284 20918240 21468720 21515904 21852090 21964152 22542156 22899968 23120160 23237760 23308896 23533020 23794498 23906560 24535680 25046840 25101888 25494105 25762464 26423040 26894880 27193712 27455190 27744192 27885312 28177695 28624960 29136120 29285536 29442816 30056208 30592926 30826880 31078528 31377360 32203080 32946228 33469184 33992140 34349952 34680240 34856640 34963344 35691747 35859840 36606920 36803520 36992256 37570260 37652832 38848160 39634560 40074944 40790568 41182785 41836480 42937440 43031808 43704180 43928304 45084312 46240320 46475520 46617792 47066040 47588996 49071360 50093680 50203776 50988210 51524928 53789760 54387424 54910380 55488384 56355390 57249920 58272240 58571072 59486245 60112416 61185852 61653760 62157056 62754720 64406160 65892456 67984280 68699904 69360480 69713280 69926688 71383494 71719680 73213840 73607040 75140520 75305664 76482315 77696320 79269120 80149888 81581136 82365570 83672960 85874880 87408360 87856608 90168624 92480640 93235584 94132080 95177992 100187360 100407552 101976420 103049856 107075241 107579520 108774848 109820760 110976768 112710780 114499840 116544480 117142144 118972490 120224832 122371704 125509440 128812320 131784912 135968560 138720960 139426560 139853376 142766988 146427680 147214080 150281040 150611328 152964630 155392640 160299776 163162272 164731140 167345920 171749760 174816720 175713216 178458735 180337248 184961280 186471168 188264160 190355984 200374720 203952840 206099712 214150482 215159040 217549696 219641520 225421560 233088960 234284288 237944980 240449664 244743408 251018880 257624640 263569824 271937120 277441920 279706752 285533976 292855360 300562080 301222656 305929260 310785280 326324544 329462280 343499520 349633440 351426432 356917470 360674496 376528320 380711968 400749440 407905680 428300964 435099392 439283040 450843120 466177920 475889960 480899328 489486816 502037760 515249280 527139648 535376205 543874240 554883840 559413504 571067952 585710720 601124160 611858520 652649088 658924560 699266880 702852864 713834940 721348992 753056640 761423936 801498880 815811360 856601928 878566080 901686240 932355840 951779920 978973632 1030498560 1054279296 1070752410 1087748480 1142135904 1171421440 1202248320 1223717040 1305298176 1317849120 1398533760 1427669880 1442697984 1506113280 1522847872 1631622720 1713203856 1757132160 1803372480 1903559840 1957947264 2108558592 2141504820 2175496960 2284271808 2404496640 2447434080 2635698240 2797067520 2855339760 3045695744 3263245440 3426407712 3514264320 3606744960 3807119680 3915894528 4283009640 4568543616 4894868160 5271396480 5710679520 6526490880 6852815424 7213489920 7614239360 8566019280 9137087232 9789736320 10542792960 11421359040 13705630848 15228478720 17132038560 19579472640 22842718080 27411261696 34264077120 45685436160 68528154240 137056308480
• Sum of all divisors σ(n): 625955541120
• Sum of proper divisors (its aliquot sum) s(n): 488899232640
• 137056308480 is an abundant number, because the sum of its proper divisors (488899232640) is greater than itself. Its abundance is 351842924160

Bases of 137056308480

• Binary: 1111111101001001100010100110100000000₂
• Hexadecimal: 0x1FE9314D00
• Base-36: 1QYNSCG0

Squares and roots of 137056308480

• 137056308480 squared (137056308480²) is 18784431694164919910400
• 137056308480 cubed (137056308480³) is 2574524864896956279234276360192000
• The square root of 137056308480 is 370211.1674166515
• The cube root of 137056308480 is 5155.8429110323

Scales and comparisons

• 137,056,308,480 seconds is equal to 4,357 years, 50 weeks, 1 day, 20 hours, 48 minutes.
• To count from 1 to 137,056,308,480 would take you about eight thousand, seven hundred fifteen 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 137056308480 cubic inches would be around 429.7 feet tall.

Recreational maths with 137056308480

• 137056308480 backwards is 084803650731
• 137056308480 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137056308480's digits is 45
• More coming soon!