145438035718144000
145,438,035,718,144,000 is an even composite number composed of seven prime numbers multiplied together.
145438035718144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 145438035718144000:
215 × 53 × 13 × 29 × 37 × 661 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 29 × 37 × 661 × 3851)See below for interesting mathematical facts about the number 145438035718144000 from the Numbermatics database.
Names of 145438035718144000
- Cardinal: 145438035718144000 can be written as One hundred forty-five quadrillion, four hundred thirty-eight trillion, thirty-five billion, seven hundred eighteen million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.45438035718144 × 1017
Factors of 145438035718144000
Divisors of 145438035718144000
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 37 40 50 52 58 64 65 74 80 100 104 116 125 128 130 145 148 160 185 200 208 232 250 256 260 290 296 320 325 370 377 400 416 464 481 500 512 520 580 592 640 650 661 725 740 754 800 832 925 928 962 1000 1024 1040 1073 1160 1184 1280 1300 1322 1450 1480 1508 1600 1625 1664 1850 1856 1885 1924 2000 2048 2080 2146 2320 2368 2405 2560 2600 2644 2900 2960 3016 3200 3250 3305 3328 3625 3700 3712 3770 3848 3851 4000 4096 4160 4292 4625 4640 4736 4810 5120 5200 5288 5365 5800 5920 6032 6400 6500 6610 6656 7250 7400 7424 7540 7696 7702 8000 8192 8320 8584 8593 9250 9280 9425 9472 9620 10240 10400 10576 10730 11600 11840 12025 12064 12800 13000 13220 13312 13949 14500 14800 14848 15080 15392 15404 16000 16384 16525 16640 17168 17186 18500 18560 18850 18944 19169 19240 19255 20480 20800 21152 21460 23200 23680 24050 24128 24457 25600 26000 26440 26624 26825 27898 29000 29600 29696 30160 30784 30808 32000 32768 33050 33280 34336 34372 37000 37120 37700 37888 38338 38480 38510 40960 41600 42304 42920 42965 46400 47125 47360 48100 48256 48914 50063 51200 52000 52880 53248 53650 55796 58000 59200 59392 60125 60320 61568 61616 64000 66100 66560 68672 68744 69745 74000 74240 75400 75776 76676 76960 77020 81920 82625 83200 84608 85840 85930 92800 94250 94720 95845 96200 96275 96512 97828 100126 102400 104000 105760 106496 107300 111592 111679 116000 118400 118784 120250 120640 122285 123136 123232 128000 132200 133120 134125 137344 137488 139490 142487 148000 148480 150800 151552 153352 153920 154040 163840 165250 166400 169216 171680 171860 185600 188500 189440 191690 192400 192550 193024 195656 200252 204800 208000 211520 212992 214600 214825 223184 223358 232000 236800 237568 240500 241280 244570 246272 246464 249197 250315 256000 264400 266240 268250 274688 274976 278980 284974 296000 296960 301600 303104 306704 307840 308080 317941 330500 332800 338432 343360 343720 348725 371200 377000 378880 383380 384800 385100 386048 391312 400504 409600 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37766303744000 37795747328000 38577728307200 39180505312000 39307577221120 40120837439488 43701332848000 44005457100800 44750164836352 45449386161920 48222160384000 49134471526400 50151046799360 55006821376000 55937706045440 56811732702400 60473195724800 61418089408000 62688808499200 67771684864000 69922132556800 71014665878000 72719017859072 75591494656000 77155456614400 78361010624000 78615154442240 87402665696000 89500329672704 90898772323840 96444320768000 98268943052800 100302093598720 110013642752000 111875412090880 113623465404800 122836178816000 125377616998400 135543369728000 139844265113600 142029331756000 145438035718144 151182989312000 156722021248000 157230308884480 174805331392000 181797544647680 192888641536000 196537886105600 200604187197440 220027285504000 223750824181760 227246930809600 245672357632000 250755233996800 279688530227200 284058663512000 290876071436288 302365978624000 313444042496000 349610662784000 363595089295360 385777283072000 393075772211200 447501648363520 454493861619200 491344715264000 501510467993600 559377060454400 568117327024000 581752142872576 626888084992000 699221325568000 727190178590720 786151544422400 908987723238400 982689430528000 1003020935987200 1118754120908800 1136234654048000 1163504285745152 1253776169984000 1398442651136000 1454380357181440 1817975446476800 1965378861056000 2237508241817600 2272469308096000 2507552339968000 2796885302272000 2908760714362880 3635950892953600 3930757722112000 4544938616192000 5015104679936000 5593770604544000 5817521428725760 7271901785907200 9089877232384000 11187541209088000 14543803571814400 18179754464768000 29087607143628800 36359508929536000 72719017859072000 145438035718144000
- Sum of all divisors σ(n): 416078291074118400
- Sum of proper divisors (its aliquot sum) s(n): 270640255355974400
- 145438035718144000 is an abundant number, because the sum of its proper divisors (270640255355974400) is greater than itself. Its abundance is 125202219637830400
Bases of 145438035718144000
- Binary: 10000001001011001100011111011101111100111110000000000000002
- Hexadecimal: 0x204B31F77CF8000
- Base-36: 13S1HB8NS1Z4
Squares and roots of 145438035718144000
- 145438035718144000 squared (1454380357181440002) is 21152222233552129929810804736000000
- 145438035718144000 cubed (1454380357181440003) is 3076337652721474330748432158886584316329984000000000
-
The
square root of 145438035718144000 is 381363390.6369933669 -
The
cube root of 145438035718144000 is 525887.2805134393
Scales and comparisons
How big is 145438035718144000?- 145,438,035,718,144,000 seconds is equal to 4,624,479,666 years, 23 weeks, 4 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 145,438,035,718,144,000 would take you about thirteen billion, eight hundred seventy-three million, four hundred thirty-eight thousand, nine hundred ninety-nine 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 145438035718144000 cubic inches would be around 43823.9 feet tall.
Recreational maths with 145438035718144000
- 145438035718144000 backwards is 000441817530834541
- 145438035718144000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 145438035718144000's digits is 58
- More coming soon!
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The information we have on file for 145438035718144000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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