137932960169984

Names of 137932960169984

• Cardinal: 137932960169984 can be written as One hundred thirty-seven trillion, nine hundred thirty-two billion, nine hundred sixty million, one hundred sixty-nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.37932960169984 × 10¹⁴

Factors of 137932960169984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 228

Divisors of 137932960169984

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 7 8 14 16 28 31 32 37 49 56 62 64 74 98 112 124 128 148 151 196 217 224 248 256 259 296 302 392 434 448 496 512 518 592 604 784 868 896 961 992 1024 1036 1057 1147 1184 1208 1519 1568 1736 1792 1813 1922 1984 2048 2072 2114 2294 2368 2416 3038 3136 3472 3584 3626 3844 3968 4096 4144 4228 4588 4681 4736 4832 5587 6076 6272 6727 6944 7168 7252 7399 7688 7936 8029 8192 8288 8456 9176 9362 9472 9664 11174 12152 12544 13454 13888 14336 14504 14798 15376 15872 16058 16384 16576 16912 18352 18724 18944 19328 22348 24304 25088 26908 27776 28672 29008 29596 30752 31744 32116 32767 32768 33152 33824 35557 36704 37448 37888 38656 39109 44696 47089 48608 50176 53816 55552 56203 57344 58016 59192 61504 63488 64232 65534 65536 66304 67648 71114 73408 74896 75776 77312 78218 89392 94178 97216 100352 107632 111104 112406 114688 116032 118384 123008 126976 128464 131068 131072 132608 135296 142228 145111 146816 149792 151552 154624 156436 173197 178784 188356 194432 200704 215264 222208 224812 229369 229376 232064 236768 246016 248899 253952 256928 262136 262144 265216 270592 273763 284456 290222 293632 299584 303104 309248 312872 346394 357568 376712 388864 401408 430528 444416 449624 458738 458752 464128 473536 492032 497798 507904 513856 524272 524288 530432 541184 547526 568912 580444 587264 599168 606208 618496 625744 692788 715136 753424 777728 802816 861056 888832 899248 917476 917504 928256 947072 984064 995596 1015777 1015808 1027712 1048544 1060864 1082368 1095052 1137824 1160888 1174528 1198336 1212379 1212416 1236992 1251488 1385576 1430272 1506848 1555456 1605632 1722112 1742293 1777664 1798496 1834952 1835008 1856512 1894144 1968128 1991192 2031554 2031616 2055424 2097088 2121728 2164736 2190104 2275648 2321776 2349056 2396672 2424758 2424832 2473984 2502976 2771152 2860544 3013696 3110912 3211264 3444224 3484586 3555328 3596992 3669904 3670016 3713024 3788288 3936256 3982384 4063108 4063232 4110848 4194176 4243456 4329472 4380208 4551296 4643552 4698112 4793344 4849516 4849664 4947968 5005952 5369107 5542304 5721088 6027392 6221824 6422528 6888448 6969172 7110439 7110656 7193984 7339808 7426048 7576576 7872512 7964768 8126216 8126464 8221696 8388352 8486653 8486912 8658944 8760416 9102592 9287104 9396224 9586688 9699032 9699328 9895936 10011904 10738214 11084608 11442176 12054784 12443648 12845056 13776896 13938344 14220878 14221312 14387968 14679616 14852096 15153152 15745024 15929536 16252432 16252928 16443392 16776704 16973306 16973824 17317888 17520832 18205184 18574208 18792448 19173376 19398064 19398656 19791872 20023808 21476428 22169216 22884352 24109568 24887296 25690112 27553792 27876688 28441756 28442624 28775936 29359232 29704192 30306304 31490048 31859072 32504864 32886784 33553408 33946612 33947648 34635776 35041664 36410368 37148416 37583749 37584896 38346752 38796128 39583744 40047616 42952856 44338432 45768704 48219136 49774592 55107584 55753376 56883512 56885248 57551872 58718464 59408384 60612608 62980096 63718144 65009728 65773568 67106816 67893224 67895296 69271552 70083328 72820736 74296832 75167498 75169792 76693504 77592256 79167488 80095232 85905712 88676864 91537408 96438272 99549184 110215168 111506752 113767024 113770496 115103744 117436928 118816768 121225216 125960192 127436288 130019456 131547136 134213632 135786448 135790592 138543104 140166656 145641472 148593664 150334996 150339584 153387008 155184512 160190464 171811424 177353728 183074816 192876544 199098368 220430336 223013504 227534048 230207488 234873856 237633536 242450432 251920384 254872576 260038912 263086243 263094272 268427264 271572896 277086208 280333312 291282944 297187328 300669992 300679168 306774016 310369024 320380928 343622848 354707456 366149632 385753088 398196736 440860672 446027008 455068096 460414976 469747712 475267072 484900864 503840768 509745152 520077824 526172486 526188544 536854528 543145792 554172416 560666624 582565888 594374656 601339984 601358336 613548032 620738048 640761856 687245696 709414912 732299264 771506176 796393472 881721344 892054016 910136192 920829952 939495424 950534144 969801728 1019490304 1040155648 1052344972 1052377088 1073709056 1086291584 1121333248 1165131776 1188749312 1202679968 1227096064 1241476096 1281523712 1374491392 1418829824 1464598528 1543012352 1763442688 1784108032 1820272384 1841659904 1878990848 1939603456 2038980608 2080311296 2104689944 2104754176 2147418112 2172583168 2242666496 2330263552 2377498624 2405359936 2454192128 2482952192 2563047424 2748982784 2837659648 2929197056 3086024704 3526885376 3568216064 3640544768 3683319808 3757981696 3879206912 4077961216 4160622592 4209379888 4209508352 4294836224 4345166336 4485332992 4660527104 4754997248 4810719872 4965904384 5126094848 5497965568 5675319296 6172049408 7136432128 7281089536 7366639616 7515963392 8155922432 8321245184 8418759776 8589672448 8690332672 8970665984 9321054208 9509994496 9621439744 9931808768 10252189696 10995931136 11350638592 12344098816 14272864256 14562179072 14733279232 15031926784 16311844864 16642490368 16837519552 17179344896 17380665344 17941331968 18642108416 19019988992 19242879488 19863617536 20504379392 21991862272 22701277184 24688197632 28545728512 29124358144 29466558464 30063853568 32623689728 33284980736 33675039104 34761330688 35882663936 38039977984 38485758976 39727235072 43983724544 45402554368 57091457024 58248716288 60127707136 65247379456 66569961472 67350078208 69522661376 71765327872 76079955968 76971517952 79454470144 87967449088 90805108736 114182914048 116497432576 120255414272 130494758912 133139922944 134700156416 139045322752 143530655744 153943035904 158908940288 175934898176 228365828096 232994865152 266279845888 269400312832 278090645504 307886071808 317817880576 351869796352 456731656192 465989730304 532559691776 538800625664 556181291008 615772143616 635635761152 703739592704 913463312384 931979460608 1077601251328 1112362582016 1231544287232 1407479185408 1863958921216 2155202502656 2224725164032 2463088574464 2814958370816 3727917842432 4310405005312 4449450328064 4926177148928 8620810010624 9852354297856 17241620021248 19704708595712 34483240042496 68966480084992 137932960169984
• Sum of all divisors σ(n): 342807873289200
• Sum of proper divisors (its aliquot sum) s(n): 204874913119216
• 137932960169984 is an abundant number, because the sum of its proper divisors (204874913119216) is greater than itself. Its abundance is 66941952949232

Bases of 137932960169984

• Binary: 11111010111001100000101000110000000000000000000₂
• Hexadecimal: 0x7D7305180000
• Base-36: 1CW5IZ5TKW

Squares and roots of 137932960169984

• 137932960169984 squared (137932960169984²) is 19025501501254392574174560256
• 137932960169984 cubed (137932960169984³) is 2624243740786492927947143320136926210555904
• The square root of 137932960169984 is 11744486.3731873775
• The cube root of 137932960169984 is 51668.1230926691

Scales and comparisons

• 137,932,960,169,984 seconds is equal to 4,385,841 years, 24 weeks, 6 days, 6 hours, 19 minutes, 44 seconds.
• To count from 1 to 137,932,960,169,984 would take you about ten million, nine hundred sixty-four thousand, six hundred three 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 137932960169984 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137932960169984

• 137932960169984 backwards is 489961069239731
• The number of decimal digits it has is: 15
• The sum of 137932960169984's digits is 77
• More coming soon!