146008092672
146,008,092,672 is an even composite number composed of five prime numbers multiplied together.
146008092672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 146008092672:
212 × 33 × 13 × 41 × 2477
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 41 × 2477)See below for interesting mathematical facts about the number 146008092672 from the Numbermatics database.
Names of 146008092672
- Cardinal: 146008092672 can be written as One hundred forty-six billion, eight million, ninety-two thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.46008092672 × 1011
Factors of 146008092672
Divisors of 146008092672
- Number of divisors d(n): 416
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 64 72 78 82 96 104 108 117 123 128 144 156 164 192 208 216 234 246 256 288 312 328 351 369 384 416 432 468 492 512 533 576 624 656 702 738 768 832 864 936 984 1024 1066 1107 1152 1248 1312 1404 1476 1536 1599 1664 1728 1872 1968 2048 2132 2214 2304 2477 2496 2624 2808 2952 3072 3198 3328 3456 3744 3936 4096 4264 4428 4608 4797 4954 4992 5248 5616 5904 6144 6396 6656 6912 7431 7488 7872 8528 8856 9216 9594 9908 9984 10496 11232 11808 12288 12792 13312 13824 14391 14862 14976 15744 17056 17712 18432 19188 19816 19968 20992 22293 22464 23616 25584 26624 27648 28782 29724 29952 31488 32201 34112 35424 36864 38376 39632 39936 41984 44586 44928 47232 51168 53248 55296 57564 59448 59904 62976 64402 66879 68224 70848 76752 79264 79872 83968 89172 89856 94464 96603 101557 102336 110592 115128 118896 119808 125952 128804 133758 136448 141696 153504 158528 159744 167936 178344 179712 188928 193206 203114 204672 230256 237792 239616 251904 257608 267516 272896 283392 289809 304671 307008 317056 356688 359424 377856 386412 406228 409344 460512 475584 479232 503808 515216 535032 545792 566784 579618 609342 614016 634112 713376 718848 755712 772824 812456 818688 869427 914013 921024 951168 1030432 1070064 1091584 1133568 1159236 1218684 1228032 1268224 1320241 1426752 1437696 1511424 1545648 1624912 1637376 1738854 1828026 1842048 1902336 2060864 2140128 2183168 2267136 2318472 2437368 2456064 2536448 2640482 2742039 2853504 3091296 3249824 3274752 3477708 3656052 3684096 3804672 3960723 4121728 4280256 4534272 4636944 4874736 4912128 5072896 5280964 5484078 5707008 6182592 6499648 6549504 6955416 7312104 7368192 7609344 7921446 8243456 8560512 9273888 9749472 9824256 10145792 10561928 10968156 11414016 11882169 12365184 12999296 13910832 14624208 14736384 15218688 15842892 16486912 17121024 18547776 19498944 19648512 21123856 21936312 22828032 23764338 24730368 25998592 27821664 29248416 29472768 30437376 31685784 32973824 34242048 35646507 37095552 38997888 42247712 43872624 45656064 47528676 49460736 51997184 55643328 58496832 58945536 63371568 65947648 68484096 71293014 74191104 77995776 84495424 87745248 91312128 95057352 98921472 103994368 111286656 116993664 126743136 131895296 136968192 142586028 148382208 155991552 168990848 175490496 190114704 197842944 207988736 222573312 233987328 253486272 273936384 285172056 296764416 311983104 337981696 350980992 380229408 395685888 415977472 445146624 467974656 506972544 570344112 593528832 623966208 675963392 701961984 760458816 890293248 935949312 1013945088 1140688224 1187057664 1247932416 1351926784 1403923968 1520917632 1780586496 1871898624 2027890176 2281376448 2703853568 2807847936 3041835264 3561172992 3743797248 4055780352 4562752896 5407707136 5615695872 6083670528 8111560704 9125505792 11231391744 12167341056 16223121408 18251011584 24334682112 36502023168 48669364224 73004046336 146008092672
- Sum of all divisors σ(n): 477392448960
- Sum of proper divisors (its aliquot sum) s(n): 331384356288
- 146008092672 is an abundant number, because the sum of its proper divisors (331384356288) is greater than itself. Its abundance is 185376263616
Bases of 146008092672
- Binary: 100001111111101100001010110000000000002
- Hexadecimal: 0x21FEC2B000
- Base-36: 1V2PG5C0
Squares and roots of 146008092672
- 146008092672 squared (1460080926722) is 21318363125715340099584
- 146008092672 cubed (1460080926723) is 3112653538874792963552058380648448
-
The
square root of 146008092672 is 382110.0530894209 -
The
cube root of 146008092672 is 5265.7347165031
Scales and comparisons
How big is 146008092672?- 146,008,092,672 seconds is equal to 4,642 years, 31 weeks, 3 days, 11 hours, 31 minutes, 12 seconds.
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To count from 1 to 146,008,092,672 would take you about nine thousand, two hundred eighty-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 146008092672 cubic inches would be around 438.8 feet tall.
Recreational maths with 146008092672
- 146008092672 backwards is 276290800641
- The number of decimal digits it has is: 12
- The sum of 146008092672's digits is 45
- More coming soon!
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