137991409991680

Names of 137991409991680

• Cardinal: 137991409991680 can be written as One hundred thirty-seven trillion, nine hundred ninety-one billion, four hundred nine million, nine hundred ninety-one thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3799140999168 × 10¹⁴

Factors of 137991409991680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1581

Divisors of 137991409991680

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 512 560 640 686 784 896 980 1024 1120 1280 1372 1567 1568 1715 1792 1960 2048 2240 2560 2744 3134 3136 3430 3584 3920 4096 4480 5120 5488 6268 6272 6860 7168 7835 7840 8192 8960 10240 10969 10976 12536 12544 13720 14336 15670 15680 16384 17920 20480 21938 21952 25072 25088 27440 28672 31340 31360 32768 35840 40960 43876 43904 50144 50176 54845 54880 57344 62680 62720 71680 76783 81920 87752 87808 100288 100352 109690 109760 114688 125360 125440 143360 153566 163840 175504 175616 200576 200704 219380 219520 229376 250720 250880 286720 307132 351008 351232 383915 401152 401408 438760 439040 501440 501760 537481 573440 614264 702016 702464 767830 802304 802816 877520 878080 1002880 1003520 1074962 1146880 1228528 1404032 1404928 1535660 1604608 1605632 1755040 1756160 2005760 2007040 2149924 2455489 2457056 2687405 2808064 2809856 3071320 3209216 3510080 3512320 4011520 4014080 4299848 4910978 4914112 5374810 5616128 5619712 6142640 6418432 7020160 7024640 8023040 8028160 8599696 9821956 9828224 10749620 11232256 11239424 12277445 12285280 12836864 14040320 14049280 16046080 17188423 17199392 19643912 19656448 21499240 22464512 24554890 24570560 25673728 28080640 28098560 32092160 34376846 34398784 39287824 39312896 42998480 44929024 49109780 49141120 51347456 56161280 56197120 64184320 68753692 68797568 78575648 78625792 85942115 85996960 89858048 98219560 98282240 112322560 120318961 128368640 137507384 137595136 157151296 157251584 171884230 171993920 179716096 196439120 196564480 224645120 240637922 256737280 275014768 275190272 314302592 314503168 343768460 343987840 359432192 392878240 393128960 449290240 481275844 550029536 550380544 601594805 628605184 629006336 687536920 687975680 785756480 786257920 842232727 898580480 962551688 1100059072 1100761088 1203189610 1257210368 1258012672 1375073840 1375951360 1571512960 1572515840 1684465454 1797160960 1925103376 2200118144 2201522176 2406379220 2514420736 2516025344 2750147680 2751902720 3143025920 3145031680 3368930908 3850206752 4211163635 4400236288 4403044352 4812758440 5028841472 5500295360 5503805440 6286051840 6290063360 6737861816 7700413504 8422327270 8800472576 8806088704 9625516880 10057682944 11000590720 11007610880 12572103680 12580126720 13475723632 15400827008 16844654540 17600945152 17612177408 19251033760 20115365888 22001181440 22015221760 25144207360 26951447264 30801654016 33689309080 35201890304 38502067520 40230731776 44002362880 44030443520 50288414720 53902894528 61603308032 67378618160 70403780608 77004135040 80461463552 88004725760 88060887040 100576829440 107805789056 123206616064 134757236320 140807561216 154008270080 176009451520 201153658880 215611578112 246413232128 269514472640 281615122432 308016540160 352018903040 402307317760 431223156224 492826464256 539028945280 563230244864 616033080320 704037806080 862446312448 985652928512 1078057890560 1232066160640 1408075612160 1724892624896 1971305857024 2156115781120 2464132321280 2816151224320 3449785249792 3942611714048 4312231562240 4928264642560 6899570499584 8624463124480 9856529285120 13799140999168 17248926248960 19713058570240 27598281998336 34497852497920 68995704995840 137991409991680
• Sum of all divisors σ(n): 386455753188000
• Sum of proper divisors (its aliquot sum) s(n): 248464343196320
• 137991409991680 is an abundant number, because the sum of its proper divisors (248464343196320) is greater than itself. Its abundance is 110472933204640

Bases of 137991409991680

• Binary: 11111011000000010100000111110011000000000000000₂
• Hexadecimal: 0x7D80A0F98000
• Base-36: 1CWWDMOCN4

Squares and roots of 137991409991680

• 137991409991680 squared (137991409991680²) is 19041629231491922937669222400
• 137991409991680 cubed (137991409991680³) is 2627581266192360494574305313738176069632000
• The square root of 137991409991680 is 11746974.5037469115
• The cube root of 137991409991680 is 51675.4202755409

Scales and comparisons

• 137,991,409,991,680 seconds is equal to 4,387,700 years, 19 hours, 54 minutes, 40 seconds.
• To count from 1 to 137,991,409,991,680 would take you about ten million, nine hundred sixty-nine thousand, two hundred fifty 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 137991409991680 cubic inches would be around 4306.3 feet tall.

Recreational maths with 137991409991680

• 137991409991680 backwards is 086199904199731
• The number of decimal digits it has is: 15
• The sum of 137991409991680's digits is 76
• More coming soon!