132416257201249840
132,416,257,201,249,840 is an even composite number composed of seven prime numbers multiplied together.
132416257201249840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 132416257201249840:
24 × 5 × 7 × 13 × 17 × 307 × 3485159287
(2 × 2 × 2 × 2 × 5 × 7 × 13 × 17 × 307 × 3485159287)See below for interesting mathematical facts about the number 132416257201249840 from the Numbermatics database.
Names of 132416257201249840
- Cardinal: 132416257201249840 can be written as One hundred thirty-two quadrillion, four hundred sixteen trillion, two hundred fifty-seven billion, two hundred one million, two hundred forty-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3241625720124984 × 1017
Factors of 132416257201249840
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 3485159638
Divisors of 132416257201249840
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 182 208 221 238 260 272 280 307 340 364 442 455 476 520 560 595 614 680 728 884 910 952 1040 1105 1190 1228 1360 1456 1535 1547 1768 1820 1904 2149 2210 2380 2456 3070 3094 3536 3640 3991 4298 4420 4760 4912 5219 6140 6188 7280 7735 7982 8596 8840 9520 10438 10745 12280 12376 15470 15964 17192 17680 19955 20876 21490 24560 24752 26095 27937 30940 31928 34384 36533 39910 41752 42980 52190 55874 61880 63856 67847 73066 79820 83504 85960 104380 111748 123760 135694 139685 146132 159640 171920 182665 208760 223496 271388 279370 292264 319280 339235 365330 417520 446992 474929 542776 558740 584528 678470 730660 949858 1085552 1117480 1356940 1461320 1899716 2234960 2374645 2713880 2922640 3799432 4749290 5427760 7598864 9498580 18997160 37994320 3485159287 6970318574 13940637148 17425796435 24396115009 27881274296 34851592870 45307070731 48792230018 55762548592 59247707879 69703185740 90614141462 97584460036 118495415758 121980575045 139406371480 181228282924 195168920072 226535353655 236990831516 243961150090 278812742960 296238539395 317149495117 362456565848 390337840144 414733955153 453070707310 473981663032 487922300180 592477078790 634298990234 724913131696 770220202427 829467910306 906141414620 947963326064 975844600360 1069943901109 1184954157580 1268597980468 1540440404854 1585747475585 1658935820612 1812282829240 1951689200720 2073669775765 2139887802218 2369908315160 2537195960936 3080880809708 3171494951170 3317871641224 3624565658480 3851101012135 4147339551530 4279775604436 4739816630320 5074391921872 5349719505545 5391541416989 6161761619416 6342989902340 6635743282448 7489607307763 7702202024270 8294679103060 8559551208872 10699439011090 10783082833978 12323523238832 12685979804680 13909270714417 14979214615526 15404404048540 16589358206120 17119102417744 18189046318853 21398878022180 21566165667956 25371959609360 26957707084945 27818541428834 29958429231052 30808808097080 33178716412240 36378092637706 37448036538815 42797756044360 43132331335912 53915414169890 55637082857668 59916858462104 61617616194160 69546353572085 72756185275412 74896073077630 85595512088720 86264662671824 90945231594265 97364895000919 107830828339780 111274165715336 119833716924208 127323324231971 139092707144170 145512370550824 149792146155260 181890463188530 194729790001838 215661656679560 222548331430672 236457602145089 254646648463942 278185414288340 291024741101648 299584292310520 363780926377060 389459580003676 431323313359120 472915204290178 486824475004595 509293296927884 556370828576680 599168584621040 636616621159855 727561852754120 778919160007352 945830408580356 973648950009190 1018586593855768 1112741657153360 1182288010725445 1273233242319710 1455123705508240 1557838320014704 1655203215015623 1891660817160712 1947297900018380 2037173187711536 2364576021450890 2546466484639420 3310406430031246 3783321634321424 3894595800036760 4729152042901780 5092932969278840 6620812860062492 7789191600073520 8276016075078115 9458304085803560 10185865938557680 13241625720124984 16552032150156230 18916608171607120 26483251440249968 33104064300312460 66208128600624920 132416257201249840
- Sum of all divisors σ(n): 402510135466543104
- Sum of proper divisors (its aliquot sum) s(n): 270093878265293264
- 132416257201249840 is an abundant number, because the sum of its proper divisors (270093878265293264) is greater than itself. Its abundance is 137677621064043424
Bases of 132416257201249840
- Binary: 1110101100110111111100010011001001111011110011110001100002
- Hexadecimal: 0x1D66FE264F79E30
- Base-36: 107TN8RV6FCG
Squares and roots of 132416257201249840
- 132416257201249840 squared (1324162572012498402) is 17534065171187550109799258100025600
- 132416257201249840 cubed (1324162572012498403) is 2321795283491447440790623848571404680928055995904000
-
The
square root of 132416257201249840 is 363890446.7023692559 -
The
cube root of 132416257201249840 is 509698.9857694311
Scales and comparisons
How big is 132416257201249840?- 132,416,257,201,249,840 seconds is equal to 4,210,427,388 years, 32 weeks, 2 days, 21 hours, 50 minutes, 40 seconds.
-
To count from 1 to 132,416,257,201,249,840 would take you about twelve billion, six hundred thirty-one million, two hundred eighty-two thousand, one hundred sixty-five 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 132416257201249840 cubic inches would be around 42474.9 feet tall.
Recreational maths with 132416257201249840
- 132416257201249840 backwards is 048942102752614231
- The number of decimal digits it has is: 18
- The sum of 132416257201249840's digits is 61
- More coming soon!
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