137142321872896

Names of 137142321872896

• Cardinal: 137142321872896 can be written as One hundred thirty-seven trillion, one hundred forty-two billion, three hundred twenty-one million, eight hundred seventy-two thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 1.37142321872896 × 10¹⁴

Factors of 137142321872896

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1463

Divisors of 137142321872896

• Number of divisors d(n): 544
• Complete list of divisors:
  1 2 4 8 16 17 29 32 34 37 58 64 68 74 89 116 128 136 148 178 232 256 272 296 356 464 493 512 544 592 629 712 928 986 1024 1073 1088 1184 1258 1289 1424 1513 1856 1972 2048 2146 2176 2368 2516 2578 2581 2848 3026 3293 3712 3944 4096 4292 4352 4736 5032 5156 5162 5696 6052 6586 7424 7888 8192 8584 8704 9472 10064 10312 10324 11392 12104 13172 14848 15776 16384 17168 17408 18241 18944 20128 20624 20648 21913 22784 24208 26344 29696 31552 32768 34336 34816 36482 37381 37888 40256 41248 41296 43826 43877 45568 47693 48416 52688 55981 59392 63104 65536 68672 69632 72964 74762 75776 80512 82496 82592 87652 87754 91136 95386 95497 96832 105376 111962 114721 118784 126208 137344 139264 145928 149524 151552 161024 164992 165184 175304 175508 182272 190772 190994 193664 210752 223924 229442 237568 252416 274688 278528 291856 299048 303104 322048 329984 330368 350608 351016 364544 381544 381988 387328 421504 447848 458884 475136 504832 549376 557056 583712 598096 606208 635477 644096 659968 660736 701216 702032 729088 763088 763976 774656 810781 843008 895696 917768 950272 1009664 1098752 1114112 1167424 1196192 1212416 1270954 1288192 1319936 1321472 1383097 1402432 1404064 1458176 1526176 1527952 1549312 1621562 1623449 1686016 1791392 1835536 1900544 1950257 2019328 2197504 2334848 2392384 2424832 2541908 2576384 2639872 2642944 2766194 2804864 2808128 2916352 3052352 3055904 3098624 3243124 3246898 3326909 3372032 3582784 3671072 3900514 4038656 4244677 4395008 4669696 4784768 5083816 5152768 5279744 5285888 5532388 5609728 5616256 5832704 6104704 6111808 6197248 6486248 6493796 6653818 6744064 7165568 7342144 7801028 8077312 8489354 8790016 9339392 9569536 10167632 10305536 10559488 10571776 11064776 11219456 11232512 12209408 12223616 12394496 12972496 12987592 13307636 13488128 14331136 14684288 15602056 16154624 16978708 17580032 18678784 19139072 20335264 20611072 21118976 21143552 22129552 22438912 22465024 23512649 24418816 24447232 24788992 25944992 25975184 26615272 26976256 28662272 29368576 31204112 32309248 33957416 35160064 37357568 38278144 40670528 41222144 42237952 42287104 44259104 44877824 44930048 47025298 48837632 48894464 49577984 51889984 51950368 53230544 53952512 56557453 57324544 58737152 62408224 67914832 70320128 72159509 74715136 76556288 81341056 84475904 84574208 88518208 89755648 89860096 94050596 97675264 97788928 99155968 103779968 103900736 106461088 107905024 113114906 114649088 117474304 123095633 124816448 135829664 144319018 149430272 153112576 162682112 169148416 177036416 179511296 179720192 188101192 195350528 195577856 207559936 207801472 212922176 215810048 226229812 229298176 234948608 246191266 249632896 271659328 288638036 298860544 306225152 325364224 354072832 359022592 359440384 376202384 390701056 391155712 415119872 415602944 425844352 452459624 458596352 469897216 492382532 499265792 543318656 577276072 597721088 612450304 650728448 708145664 718045184 718880768 752404768 781402112 782311424 830239744 831205888 851688704 904919248 917192704 939794432 984765064 998531584 1086637312 1154552144 1195442176 1224900608 1301456896 1416291328 1436090368 1437761536 1504809536 1562804224 1564622848 1660479488 1662411776 1703377408 1809838496 1834385408 1879588864 1969530128 1997063168 2092625761 2173274624 2309104288 2449801216 2602913792 2832582656 2875523072 3009619072 3125608448 3129245696 3320958976 3324823552 3406754816 3619676992 3668770816 3759177728 3939060256 3994126336 4185251522 4346549248 4618208576 5205827584 5665165312 6019238144 6258491392 6641917952 6649647104 6813509632 7239353984 7518355456 7878120512 7988252672 8370503044 8693098496 9236417152 10411655168 11330330624 12038476288 13283835904 13299294208 13627019264 14478707968 15756241024 15976505344 16741006088 17386196992 18472834304 20823310336 22660661248 24076952576 26567671808 26598588416 27254038528 28957415936 31512482048 31953010688 33482012176 34772393984 36945668608 41646620672 45321322496 48153905152 53135343616 53197176832 54508077056 57914831872 63024964096 63906021376 66964024352 69544787968 73891337216 90642644992 96307810304 106394353664 109016154112 115829663744 126049928192 127812042752 133928048704 139089575936 147782674432 192615620608 218032308224 231659327488 252099856384 267856097408 278179151872 295565348864 385231241216 463318654976 504199712768 535712194816 591130697728 770462482432 926637309952 1008399425536 1071424389632 1182261395456 1540924964864 1853274619904 2016798851072 2142848779264 2364522790912 3706549239808 4033597702144 4285697558528 4729045581824 8067195404288 8571395117056 17142790234112 34285580468224 68571160936448 137142321872896
• Sum of all divisors σ(n): 312259880412000
• Sum of proper divisors (its aliquot sum) s(n): 175117558539104
• 137142321872896 is an abundant number, because the sum of its proper divisors (175117558539104) is greater than itself. Its abundance is 37975236666208

Bases of 137142321872896

• Binary: 11111001011101011101111011000010000000000000000₂
• Hexadecimal: 0x7CBAEF610000
• Base-36: 1CM2B9J75S

Squares and roots of 137142321872896

• 137142321872896 squared (137142321872896²) is 18808016448689008625179426816
• 137142321872896 cubed (137142321872896³) is 2579375045596830376040966507880500885979136
• The square root of 137142321872896 is 11710778.0216728555
• The cube root of 137142321872896 is 51569.2124836777

Scales and comparisons

• 137,142,321,872,896 seconds is equal to 4,360,701 years, 32 weeks, 4 days, 1 hour, 8 minutes, 16 seconds.
• To count from 1 to 137,142,321,872,896 would take you about ten million, nine hundred one thousand, seven hundred fifty-four 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 137142321872896 cubic inches would be around 4297.4 feet tall.

Recreational maths with 137142321872896

• 137142321872896 backwards is 698278123241731
• 137142321872896 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137142321872896's digits is 64
• More coming soon!