137305628460

Names of 137305628460

• Cardinal: 137305628460 can be written as One hundred thirty-seven billion, three hundred five million, six hundred twenty-eight thousand, four hundred sixty.

Scientific notation

• Scientific notation: 1.3730562846 × 10¹¹

Factors of 137305628460

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 114

Divisors of 137305628460

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 11 12 13 14 15 18 20 21 22 26 28 30 33 35 36 39 42 44 45 52 55 60 63 65 66 70 73 77 78 84 90 91 99 105 110 117 121 126 130 132 140 143 146 154 156 165 169 180 182 195 198 210 219 220 231 234 242 252 260 273 286 292 308 315 330 338 363 364 365 385 390 396 420 429 438 455 462 468 484 495 507 511 546 572 585 605 630 657 660 676 693 715 726 730 770 780 803 819 845 847 858 876 910 924 949 990 1001 1014 1022 1089 1092 1095 1155 1170 1183 1210 1260 1287 1314 1365 1386 1430 1452 1460 1521 1533 1540 1573 1606 1638 1690 1694 1716 1815 1820 1859 1898 1980 2002 2028 2044 2145 2178 2190 2310 2340 2366 2409 2420 2535 2541 2555 2574 2628 2730 2772 2847 2860 3003 3042 3066 3146 3212 3276 3285 3380 3388 3465 3549 3630 3718 3796 4004 4015 4095 4235 4290 4356 4380 4599 4620 4719 4732 4745 4818 5005 5070 5082 5110 5148 5329 5445 5460 5577 5621 5694 5915 6006 6084 6132 6292 6435 6570 6643 6930 7098 7227 7260 7436 7605 7623 7665 7865 8030 8190 8470 8541 8580 8833 9009 9198 9295 9438 9490 9636 10010 10140 10164 10220 10439 10647 10658 10890 11011 11154 11242 11388 11830 12012 12045 12337 12705 12870 13013 13140 13286 13860 14157 14196 14235 14454 15015 15210 15246 15330 15730 15987 16060 16380 16731 16863 16940 17082 17666 17745 18018 18396 18590 18876 18980 19929 20020 20449 20878 21294 21316 21780 22022 22308 22484 22995 23595 23660 24090 24674 25410 25740 26026 26499 26572 26645 27885 28105 28314 28470 28908 30030 30420 30492 30660 31317 31460 31974 33033 33215 33462 33726 34164 35332 35490 36036 36135 37011 37180 37303 38115 39039 39858 40898 41756 42588 42705 44044 44165 45045 45990 47190 47961 48180 49348 50589 50820 52052 52195 52998 53235 53290 55055 55770 56210 56628 56940 58619 59787 60060 61347 61685 61831 62634 63948 65065 66066 66430 66924 67452 69277 70785 70980 72270 73073 74022 74606 76230 78078 79497 79716 79935 81796 83655 84315 85410 86359 88330 90090 91980 93951 94380 95922 99099 99645 101178 102245 104390 105996 106470 106580 110110 111033 111540 111909 112420 114829 117117 117238 119574 122694 123370 123662 125268 130130 132132 132495 132860 135707 138554 141570 143143 144540 146146 148044 149212 152460 156156 156585 158994 159870 165165 167310 168630 170820 172718 175857 176660 180180 184041 185055 185493 186515 187902 191844 195195 198198 199290 202356 204490 207831 208780 212940 219219 220220 222066 223818 229658 234234 234476 239148 239805 245388 246740 247324 252945 259077 260260 264990 271414 277108 283140 286286 292292 293095 298935 306735 309155 313170 317988 319740 330330 334620 335727 337260 344487 345436 346385 351714 365365 368082 370110 370986 373030 375804 390390 396396 397485 398580 407121 408980 410333 415662 429429 431795 438438 444132 447636 459316 468468 469755 479610 484939 495495 505890 518154 527571 529980 542828 555165 556479 559545 572572 574145 585585 586190 597870 613470 618310 623493 626340 644809 657657 660660 671454 678535 688974 692770 703428 715715 730730 736164 740220 741972 746060 762047 777231 780780 794970 803803 814242 820666 831324 858858 863590 876876 879285 900601 920205 927465 939510 949949 959220 969878 990990 1011780 1033461 1036308 1039155 1055142 1096095 1110330 1112958 1119090 1148290 1171170 1172380 1195740 1221363 1226940 1230999 1236620 1246986 1288287 1289618 1295385 1315314 1342908 1357070 1377948 1385540 1431430 1454817 1461460 1492777 1524094 1554462 1589940 1607606 1628484 1641332 1678635 1717716 1722435 1727180 1758570 1801202 1840410 1854930 1879020 1899898 1934427 1939756 1981980 2035605 2051665 2066922 2078310 2110284 2147145 2192190 2220660 2225916 2238180 2286141 2296580 2342340 2411409 2424695 2442726 2461998 2493972 2576574 2579236 2590770 2630628 2637855 2701803 2714140 2782395 2849847 2862860 2909634 2985554 3048188 3108924 3117465 3215212 3224045 3288285 3357270 3444870 3517140 3602404 3680820 3692997 3709860 3799796 3810235 3868854 3886155 4019015 4071210 4103330 4133844 4156620 4294290 4364451 4384380 4478331 4503005 4513663 4572282 4749745 4822818 4849390 4885452 4923996 5153148 5167305 5181540 5275710 5334329 5403606 5564790 5699694 5803281 5819268 5971108 6106815 6154995 6234930 6304207 6441435 6448090 6576570 6714540 6858423 6889740 7234227 7274085 7385994 7463885 7620470 7737708 7772310 8038030 8105409 8142420 8206660 8382517 8549541 8588580 8728902 8956662 9006010 9027326 9144564 9499490 9645636 9672135 9698780 9906611 10334610 10449439 10551420 10668658 10807212 11129580 11399388 11430705 11606562 12057045 12213630 12309990 12469860 12608414 12882870 12896180 13153140 13434993 13509015 13540989 13716846 14249235 14468454 14548170 14771988 14927770 15240940 15544620 16002987 16076060 16210818 16765034 17099082 17457804 17913324 18012020 18054652 18464985 18912621 18998980 19344270 19813222 20669220 20898878 21337316 21822255 22391655 22568315 22861410 23213124 24114090 24427260 24619980 25147551 25216828 25765740 26671645 26869986 27018030 27081978 27433692 28498470 28936908 29016405 29096340 29719833 29855540 31348317 31521035 32005974 32421636 33530068 34198164 34292115 36171135 36929970 37825242 38688540 39626444 40527045 40622967 41797756 41912585 42747705 43644510 44783310 45136630 45722820 48008961 48228180 49533055 50295102 52247195 53343290 53739972 54036060 54163956 56737863 56996940 58032810 58677619 59439666 62696634 63042070 64011948 67174965 67704945 68584230 69346277 72342270 73859940 75442653 75650484 80014935 81054090 81245934 83825170 85495410 87289020 89159499 89566620 90273260 94044951 94563105 96017922 99066110 100590204 104494390 106686580 108972721 113475726 116065620 117355238 118879332 125393268 125737755 126084140 134349930 135409890 137168460 138692554 144684540 148599165 150885306 156741585 160029870 162108180 162491868 167650340 170990820 176032857 178318998 188089902 189126210 192035844 198132220 203114835 208038831 208988780 217945442 226951452 234710476 240044805 251475510 268699860 270819780 277385108 283689315 293388095 297198330 301770612 313483170 320059740 326918163 346731385 352065714 356637996 376179804 377213265 378252420 406229670 416077662 435890884 445797495 470224755 480089610 502951020 528098571 544863605 567378630 586776190 594396660 624116493 626966340 653836326 693462770 704131428 754426530 762809047 812459340 832155324 880164285 891594990 940449510 960179220 980754489 1040194155 1056197142 1089727210 1134757260 1173552380 1248232986 1307672652 1386925540 1508853060 1525618094 1634590815 1760328570 1783189980 1880899020 1961508978 2080388310 2112394284 2179454420 2288427141 2496465972 2640492855 3051236188 3120582465 3269181630 3520657140 3814045235 3923017956 4160776620 4576854282 4903772445 5280985710 6241164930 6538363260 6865281423 7628090470 9153708564 9807544890 10561971420 11442135705 12482329860 13730562846 15256180940 19615089780 22884271410 27461125692 34326407115 45768542820 68652814230 137305628460
• Sum of all divisors σ(n): 574407799056
• Sum of proper divisors (its aliquot sum) s(n): 437102170596
• 137305628460 is an abundant number, because the sum of its proper divisors (437102170596) is greater than itself. Its abundance is 299796542136

Bases of 137305628460

• Binary: 1111111111000000011011001111100101100₂
• Hexadecimal: 0x1FF80D9F2C
• Base-36: 1R2S84Z0

Squares and roots of 137305628460

• 137305628460 squared (137305628460²) is 18852835606795561971600
• 137305628460 cubed (137305628460³) is 2588600441244130083249414671736000
• The square root of 137305628460 is 370547.7411346613
• The cube root of 137305628460 is 5158.9673591587

Scales and comparisons

• 137,305,628,460 seconds is equal to 4,365 years, 46 weeks, 3 days, 12 hours, 21 minutes.
• To count from 1 to 137,305,628,460 would take you about eight thousand, seven hundred thirty-one 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 137305628460 cubic inches would be around 429.9 feet tall.

Recreational maths with 137305628460

• 137305628460 backwards is 064826503731
• 137305628460 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137305628460's digits is 45
• More coming soon!