137977929760125

Names of 137977929760125

• Cardinal: 137977929760125 can be written as One hundred thirty-seven trillion, nine hundred seventy-seven billion, nine hundred twenty-nine million, seven hundred sixty thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.37977929760125 × 10¹⁴

Factors of 137977929760125

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1296

Divisors of 137977929760125

• Number of divisors d(n): 512
• Complete list of divisors:
  1 3 5 7 13 15 21 25 35 39 65 75 91 97 105 125 175 195 241 257 273 291 325 375 455 485 525 673 679 723 771 875 975 1205 1261 1285 1365 1455 1625 1687 1799 2019 2037 2275 2425 2625 3133 3341 3365 3395 3615 3783 3855 4711 4875 5061 5397 6025 6305 6425 6825 7275 8435 8749 8827 8995 9399 10023 10095 10185 11375 12125 14133 15665 16705 16825 16975 18075 18915 19275 21931 23377 23387 23555 24929 25305 26247 26481 26985 30125 31525 32125 34125 36375 42175 43745 44135 44975 46995 50115 50475 50925 61243 61937 65281 65793 70131 70161 70665 74787 78325 83525 84125 84875 90375 94575 96375 109655 116885 116935 117775 124645 126525 131235 132405 134925 157625 162193 163639 172961 174503 183729 185811 195843 210875 218725 220675 224875 234975 250575 252375 254625 303901 306215 309685 324077 326405 328965 350655 350805 353325 373935 391625 417625 433559 456967 472875 486579 490917 518883 523509 548275 584425 584675 588875 623225 632625 656175 662025 674625 805181 810965 818195 848653 864805 872515 911703 918645 929055 972231 979215 1093625 1103375 1135351 1174875 1210727 1252875 1300677 1370901 1519505 1531075 1548425 1620385 1632025 1644825 1753275 1754025 1766625 1869675 2108509 2127307 2167795 2248493 2268539 2284835 2415543 2432895 2454585 2545959 2594415 2617545 2741375 2922125 2923375 3116125 3280875 3310125 3406053 3632181 4025905 4054825 4090975 4243265 4324025 4362575 4558515 4593225 4645275 4861155 4896075 5636267 5676755 5940571 6007889 6053635 6325527 6381921 6503385 6745479 6805617 6854505 7597525 7655375 7742125 8101925 8160125 8224125 8766375 8770125 9348375 10542545 10636535 10838975 11242465 11342695 11424175 12077715 12164475 12272925 12729795 12972075 13087725 14759563 15732721 15739451 16777217 16908801 17030265 17821713 18023667 18160905 20129525 20274125 20454875 21216325 21620125 21812875 22792575 22966125 23226375 24305775 24480375 28181335 28383775 29702855 30039445 30268175 31627635 31909605 32516925 33727395 34028085 34272525 37987625 40509625 41683601 42055223 44278689 47198163 47218353 50331651 52712725 53182675 54194875 56212325 56713475 57120875 60388575 60822375 61364625 63648975 64860375 65438625 73797815 78102557 78663605 78697255 83886085 84544005 85151325 89108565 90118335 90804525 100647625 106081625 110129047 113962875 117440519 121528875 125050803 126165669 140906675 141918875 148514275 150197225 151340875 158138175 159548025 162584625 168636975 170140425 171362625 204525373 208418005 210276115 218103821 221393445 234307671 235990815 236091765 251658255 263563625 265913375 281061625 283567375 291785207 301942875 318244875 330387141 352321557 368989075 390512785 393318025 393486275 419430425 422720025 425756625 445542825 450591675 454022625 541886813 546717899 550645235 587202595 613576119 625254015 630828345 654311463 704533375 742571375 750986125 790690875 797740125 843184875 850702125 875355621 1022626865 1042090025 1051380575 1090519105 1106967225 1171538355 1179954075 1180458825 1258291275 1431677611 1458926035 1526726747 1625660439 1640153697 1651935705 1761607785 1844945375 1952563925 1966590125 1967431375 2097152125 2113600125 2227714125 2252958375 2709434065 2733589495 2753226175 2936012975 3067880595 3126270075 3154141725 3271557315 3793207691 4043309297 4295032833 4376778105 4580180241 5113134325 5210450125 5256902875 5452595525 5534836125 5857691775 5899770375 5902294125 6291456375 7158388055 7294630175 7633633735 8128302195 8200768485 8259678525 8808038925 9762819625 11379623073 12129927891 13547170325 13667947475 13766130875 14680064875 15339402975 15631350375 15770708625 16357786575 18966038455 20216546485 21475164165 21883890525 22900901205 25565671625 27262977625 28303165079 29288458875 35791940275 36473150875 38168168675 40641510975 41003842425 41298392625 44040194625 52563020861 56898115365 60649639455 67735851625 68339737375 76697014875 81788932875 84909495237 94830192275 101082732425 107375820825 109419452625 114504506025 141515825395 157689062583 178959701375 190840843375 203207554875 205019212125 262815104305 284490576825 303248197275 367941146027 424547476185 474150961375 505413662125 536879104125 572522530125 707579126975 788445312915 1103823438081 1314075521525 1422452884125 1516240986375 1839705730135 2122737380925 3537895634875 3942226564575 5519117190405 6570377607625 9198528650675 10613686904625 19711132822875 27595585952025 45992643253375 137977929760125
• Sum of all divisors σ(n): 288219696500736
• Sum of proper divisors (its aliquot sum) s(n): 150241766740611
• 137977929760125 is an abundant number, because the sum of its proper divisors (150241766740611) is greater than itself. Its abundance is 12263836980486

Bases of 137977929760125

• Binary: 11111010111110101111101011111010111110101111101₂
• Hexadecimal: 0x7D7D7D7D7D7D
• Base-36: 1CWQ6OW7EL

Squares and roots of 137977929760125

• 137977929760125 squared (137977929760125²) is 19037909100889988140040015625
• 137977929760125 cubed (137977929760125³) is 2626811284702243275711285568013057501953125
• The square root of 137977929760125 is 11746400.7151180143
• The cube root of 137977929760125 is 51673.7375154435

Scales and comparisons

• 137,977,929,760,125 seconds is equal to 4,387,271 years, 19 weeks, 2 days, 15 hours, 8 minutes, 45 seconds.
• To count from 1 to 137,977,929,760,125 would take you about ten million, nine hundred sixty-eight thousand, one hundred seventy-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 137977929760125 cubic inches would be around 4306.1 feet tall.

Recreational maths with 137977929760125

• 137977929760125 backwards is 521067929779731
• 137977929760125 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137977929760125's digits is 75
• More coming soon!