137825210020806

Names of 137825210020806

• Cardinal: 137825210020806 can be written as One hundred thirty-seven trillion, eight hundred twenty-five billion, two hundred ten million, twenty thousand, eight hundred six.

Scientific notation

• Scientific notation: 1.37825210020806 × 10¹⁴

Factors of 137825210020806

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 967

Divisors of 137825210020806

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 6 7 9 11 14 18 21 22 27 33 37 42 54 63 66 74 77 81 99 111 121 126 154 162 189 198 222 231 242 243 259 297 333 363 378 407 462 486 518 567 594 666 693 726 777 814 847 891 907 999 1089 1134 1221 1331 1386 1554 1694 1701 1782 1814 1998 2079 2178 2331 2442 2541 2662 2673 2721 2849 2997 3267 3402 3663 3993 4158 4477 4662 5082 5346 5442 5698 5994 6237 6349 6534 6993 7326 7623 7986 8163 8547 8954 8991 9317 9801 9977 10989 11979 12474 12698 13431 13986 15246 16326 17094 17982 18634 18711 19047 19602 19954 20979 21978 22869 23958 24489 25641 26862 27951 29403 29931 31339 32967 33559 35937 37422 38094 40293 41958 45738 48978 49247 51282 55902 57141 58806 59862 62678 62937 65934 67118 68607 69839 71874 73467 76923 80586 83853 89793 94017 98494 98901 100677 107811 109747 114282 120879 125874 137214 139678 146934 147741 153846 167706 171423 179586 188034 197802 201354 205821 209517 215622 219494 220401 230769 234913 241758 251559 269379 282051 295482 302031 323433 329241 342846 344729 362637 369149 411642 419034 440802 443223 461538 469826 503118 514269 538758 564102 604062 628551 646866 658482 689458 692307 704739 725274 738298 754677 768229 808137 822649 846153 886446 906093 987723 1028538 1034187 1087911 1107447 1207217 1257102 1329669 1384614 1409478 1509354 1536458 1542807 1616274 1645298 1692306 1812186 1885653 1975446 2068374 2114217 2175822 2214894 2264031 2304687 2414434 2424411 2467947 2538459 2584043 2659338 2718279 2963169 3085614 3102561 3322341 3621651 3771306 3989007 4060639 4228434 4528062 4609374 4848822 4935894 5076918 5168086 5436558 5656959 5758543 5926338 6205122 6342651 6644682 6914061 7243302 7403841 7615377 7752129 7978014 8121278 8154837 8450519 8889507 9049139 9307683 9967023 10864953 11313918 11517086 11967021 12181917 12685302 13828122 14807682 15230754 15504258 16309674 16901038 16970877 17275629 17779014 18098278 18615366 19027953 19934046 20742183 21729906 22211523 23256387 23934042 24363834 25351557 26668521 27147417 27923049 28424473 29901069 30438013 32594859 33941754 34551258 36545751 38055906 41484366 44423046 44667029 46512774 50703114 51826887 53337042 54294834 55846098 56848946 57083859 59802138 60876026 62226549 63343973 65189718 66634569 69769161 73091502 76054671 81442251 83769147 85273419 89334058 89703207 91314039 97784577 99540529 103653774 109637253 114167718 124453098 126687946 133269138 134001087 139538322 152109342 155480661 162884502 167538294 170546838 179406414 182628078 186679647 190031919 195569154 199081058 199903707 209307483 213066091 219274506 228164013 244326753 255820257 268002174 273942117 293353731 298621587 310961322 312669203 328911759 334818143 373359294 380063838 399807414 402003261 418614966 426132182 456328026 466441983 488653506 511640514 547884234 570095757 586707462 597243174 625338406 627922449 639198273 657823518 669636286 684492039 696783703 732980259 767460771 804006522 821826351 895864761 932883966 938007609 986735277 1004454429 1094945819 1140191514 1206009783 1255844898 1278396546 1368984078 1393567406 1399325949 1465960518 1534921542 1643652702 1710287271 1791729522 1876015218 1917594819 1973470554 2008908858 2053476117 2090351109 2189891638 2198940777 2302382313 2343727001 2412019566 2465479053 2687594283 2798651898 2814022827 3013363287 3284837457 3420574542 3618029349 3682999573 3835189638 4106952234 4180702218 4397881554 4604764626 4687454002 4930958106 5130861813 5375188566 5628045654 5752784457 6026726574 6271053327 6569674914 6907146939 7031181003 7236058698 7365999146 7396437159 7664620733 8062782849 8442068481 9040089861 9854512371 10261723626 10854088047 11048998719 11505568914 12542106654 13814293878 14062362006 14792874318 15329241466 15392585439 16125565698 16884136962 17258353371 18080179722 18813159981 19709024742 21093543009 21708176094 22097997438 22993862199 24188348547 25326205443 25780997011 27120269583 29563537113 30785170878 33146996157 34516706742 37626319962 40512995303 42187086018 45987724398 48376697094 50652410886 51561994022 51775060113 54240539166 56439479943 59127074226 63280629027 66293992314 68981586597 75978616329 77342991033 81025990606 81360808749 88690611339 99440988471 103550120226 112878959886 121538985909 126561258054 137963173194 151957232658 154685982066 162721617498 169318439829 177381222678 189841887081 198881976942 206944759791 232028973099 243077971818 266071834017 283590967121 298322965413 338636879658 364616957727 379683774162 413889519582 464057946198 532143668034 567181934242 569525661243 596645930826 620834279373 696086919297 729233915454 850772901363 894968896239 1093850873181 1139051322486 1241668558746 1392173838594 1701545802726 1789937792478 1862502838119 2088260757891 2187701746362 2552318704089 3281552619543 3725005676238 4176521515782 5104637408178 6264782273673 6563105239086 7656956112267 9844657858629 12529564547346 15313912224534 19689315717258 22970868336801 45941736673602 68912605010403 137825210020806
• Sum of all divisors σ(n): 400249650737664
• Sum of proper divisors (its aliquot sum) s(n): 262424440716858
• 137825210020806 is an abundant number, because the sum of its proper divisors (262424440716858) is greater than itself. Its abundance is 124599230696052

Bases of 137825210020806

• Binary: 11111010101100111101110101011110011001111000110₂
• Hexadecimal: 0x7D59EEAF33C6
• Base-36: 1CUS0ZI6DI

Squares and roots of 137825210020806

• 137825210020806 squared (137825210020806²) is 18995788517279282638952889636
• 137825210020806 cubed (137825210020806³) is 2618098541904832134253548948774577381766616
• The square root of 137825210020806 is 11739898.2116884643
• The cube root of 137825210020806 is 51654.6655930653

Scales and comparisons

• 137,825,210,020,806 seconds is equal to 4,382,415 years, 18 weeks, 4 days, 1 hour, 20 minutes, 6 seconds.
• To count from 1 to 137,825,210,020,806 would take you about ten million, nine hundred fifty-six thousand and thirty-eight 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 137825210020806 cubic inches would be around 4304.6 feet tall.

Recreational maths with 137825210020806

• 137825210020806 backwards is 608020012528731
• The number of decimal digits it has is: 15
• The sum of 137825210020806's digits is 45
• More coming soon!