133116480
133,116,480 is an even composite number composed of six prime numbers multiplied together.
133116480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 133116480:
26 × 33 × 5 × 7 × 31 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 31 × 71)See below for interesting mathematical facts about the number 133116480 from the Numbermatics database.
Names of 133116480
- Cardinal: 133116480 can be written as One hundred thirty-three million, one hundred sixteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3311648 × 108
Factors of 133116480
Divisors of 133116480
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 54 56 60 62 63 64 70 71 72 80 84 90 93 96 105 108 112 120 124 126 135 140 142 144 155 160 168 180 186 189 192 210 213 216 217 224 240 248 252 270 279 280 284 288 310 315 320 336 355 360 372 378 420 426 432 434 448 465 480 496 497 504 540 558 560 568 576 620 630 639 651 672 710 720 744 756 837 840 852 864 868 930 945 960 992 994 1008 1065 1080 1085 1116 1120 1136 1240 1260 1278 1302 1344 1395 1420 1440 1488 1491 1512 1674 1680 1704 1728 1736 1860 1890 1917 1953 1984 1988 2016 2130 2160 2170 2201 2232 2240 2272 2480 2485 2520 2556 2604 2790 2840 2880 2976 2982 3024 3195 3255 3348 3360 3408 3472 3720 3780 3834 3906 3976 4032 4185 4260 4320 4340 4402 4464 4473 4544 4960 4970 5040 5112 5208 5580 5680 5859 5952 5964 6048 6390 6510 6603 6696 6720 6816 6944 7440 7455 7560 7668 7812 7952 8370 8520 8640 8680 8804 8928 8946 9585 9765 9920 9940 10080 10224 10416 11005 11160 11360 11718 11928 12096 12780 13020 13206 13392 13419 13632 13888 14880 14910 15120 15336 15407 15624 15904 16740 17040 17360 17608 17856 17892 19170 19530 19809 19880 20160 20448 20832 22010 22320 22365 22720 23436 23856 25560 26040 26412 26784 26838 29295 29760 29820 30240 30672 30814 31248 31808 33015 33480 34080 34720 35216 35784 38340 39060 39618 39760 40896 41664 44020 44640 44730 46221 46872 47712 51120 52080 52824 53568 53676 58590 59427 59640 60480 61344 61628 62496 66030 66960 67095 68160 69440 70432 71568 76680 77035 78120 79236 79520 88040 89280 89460 92442 93744 95424 99045 102240 104160 105648 107352 117180 118854 119280 122688 123256 124992 132060 133920 134190 138663 140864 143136 153360 154070 156240 158472 159040 176080 178920 184884 187488 198090 204480 208320 211296 214704 231105 234360 237708 238560 246512 264120 267840 268380 277326 286272 297135 306720 308140 312480 316944 352160 357840 369768 374976 396180 415989 422592 429408 462210 468720 475416 477120 493024 528240 536760 554652 594270 613440 616280 624960 633888 693315 704320 715680 739536 792360 831978 858816 924420 937440 950832 986048 1056480 1073520 1109304 1188540 1232560 1267776 1386630 1431360 1479072 1584720 1663956 1848840 1874880 1901664 2079945 2112960 2147040 2218608 2377080 2465120 2773260 2958144 3169440 3327912 3697680 3803328 4159890 4294080 4437216 4754160 4930240 5546520 6338880 6655824 7395360 8319780 8874432 9508320 11093040 13311648 14790720 16639560 19016640 22186080 26623296 33279120 44372160 66558240 133116480
- Sum of all divisors σ(n): 561807360
- Sum of proper divisors (its aliquot sum) s(n): 428690880
- 133116480 is an abundant number, because the sum of its proper divisors (428690880) is greater than itself. Its abundance is 295574400
Bases of 133116480
- Binary: 1111110111100110010010000002
- Hexadecimal: 0x7EF3240
- Base-36: 2795C0
Squares and roots of 133116480
- 133116480 squared (1331164802) is 17719997247590400
- 133116480 cubed (1331164803) is 2358823659208922529792000
-
The
square root of 133116480 is 11537.6115379223 -
The
cube root of 133116480 is 510.5958433853
Scales and comparisons
How big is 133116480?- 133,116,480 seconds is equal to 4 years, 12 weeks, 16 hours, 48 minutes.
-
To count from 1 to 133,116,480 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 133116480 cubic inches would be around 42.5 feet tall.
Recreational maths with 133116480
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