134905680
134,905,680 is an even composite number composed of seven prime numbers multiplied together.
134905680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 134905680:
24 × 32 × 5 × 7 × 13 × 29 × 71
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 29 × 71)See below for interesting mathematical facts about the number 134905680 from the Numbermatics database.
Names of 134905680
- Cardinal: 134905680 can be written as One hundred thirty-four million, nine hundred five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3490568 × 108
Factors of 134905680
Divisors of 134905680
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 29 30 35 36 39 40 42 45 48 52 56 58 60 63 65 70 71 72 78 80 84 87 90 91 104 105 112 116 117 120 126 130 140 142 144 145 156 168 174 180 182 195 203 208 210 213 232 234 240 252 260 261 273 280 284 290 312 315 336 348 355 360 364 377 390 406 420 426 435 455 464 468 497 504 520 522 546 560 568 580 585 609 624 630 639 696 710 720 728 754 780 812 819 840 852 870 910 923 936 994 1008 1015 1040 1044 1065 1092 1131 1136 1160 1170 1218 1260 1278 1305 1365 1392 1420 1456 1491 1508 1560 1624 1638 1680 1704 1740 1820 1827 1846 1872 1885 1988 2030 2059 2088 2130 2184 2262 2320 2340 2436 2485 2520 2556 2610 2639 2730 2769 2840 2982 3016 3045 3120 3195 3248 3276 3393 3408 3480 3640 3654 3692 3770 3976 4060 4095 4118 4176 4260 4368 4473 4524 4615 4680 4872 4970 5040 5112 5220 5278 5460 5538 5655 5680 5964 6032 6090 6177 6390 6461 6552 6786 6960 7280 7308 7384 7455 7540 7917 7952 8120 8190 8236 8307 8520 8946 9048 9135 9230 9360 9744 9940 10224 10295 10440 10556 10920 11076 11310 11928 12180 12354 12780 12922 13104 13195 13572 13845 14413 14616 14768 14910 15080 15834 16240 16380 16472 16614 16965 17040 17892 18096 18270 18460 18531 19383 19880 20590 20880 21112 21840 22152 22365 22620 23751 23856 24360 24708 25560 25844 26390 26767 27144 27690 28826 29232 29820 30160 30885 31668 32305 32760 32944 33228 33930 35784 36540 36920 37062 38766 39585 39760 41180 41535 42224 43239 44304 44730 45240 47502 48720 49416 51120 51688 52780 53534 54288 55380 57652 58149 59640 61770 63336 64610 65520 66456 67860 71568 72065 73080 73840 74124 77532 79170 80301 82360 83070 86478 89460 90480 92655 95004 96915 98832 103376 105560 107068 110760 115304 116298 118755 119280 123540 126672 129220 129717 132912 133835 135720 144130 146160 148248 155064 158340 160602 164720 166140 172956 178920 185310 187369 190008 193830 211120 214136 216195 221520 230608 232596 237510 240903 247080 258440 259434 267670 271440 288260 290745 296496 310128 316680 321204 332280 345912 357840 370620 374738 380016 387660 401505 428272 432390 465192 475020 481806 494160 516880 518868 535340 562107 576520 581490 633360 642408 648585 664560 691824 741240 749476 775320 803010 864780 930384 936845 950040 963612 1037736 1070680 1124214 1153040 1162980 1204515 1284816 1297170 1482480 1498952 1550640 1606020 1686321 1729560 1873690 1900080 1927224 2075472 2141360 2248428 2325960 2409030 2594340 2810535 2997904 3212040 3372642 3459120 3747380 3854448 4496856 4651920 4818060 5188680 5621070 6424080 6745284 7494760 8431605 8993712 9636120 10377360 11242140 13490568 14989520 16863210 19272240 22484280 26981136 33726420 44968560 67452840 134905680
- Sum of all divisors σ(n): 584962560
- Sum of proper divisors (its aliquot sum) s(n): 450056880
- 134905680 is an abundant number, because the sum of its proper divisors (450056880) is greater than itself. Its abundance is 315151200
Bases of 134905680
- Binary: 10000000101001111111010100002
- Hexadecimal: 0x80A7F50
- Base-36: 28BHW0
Squares and roots of 134905680
- 134905680 squared (1349056802) is 18199542496262400
- 134905680 cubed (1349056803) is 2455221656147176530432000
-
The
square root of 134905680 is 11614.8904428755 -
The
cube root of 134905680 is 512.8732858495
Scales and comparisons
How big is 134905680?- 134,905,680 seconds is equal to 4 years, 15 weeks, 9 hours, 48 minutes.
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To count from 1 to 134,905,680 would take you about six 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 134905680 cubic inches would be around 42.7 feet tall.
Recreational maths with 134905680
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