134977920
134,977,920 is an even composite number composed of six prime numbers multiplied together.
134977920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134977920:
27 × 3 × 5 × 7 × 112 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11 × 83)See below for interesting mathematical facts about the number 134977920 from the Numbermatics database.
Names of 134977920
- Cardinal: 134977920 can be written as One hundred thirty-four million, nine hundred seventy-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3497792 × 108
Factors of 134977920
Divisors of 134977920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 83 84 88 96 105 110 112 120 121 128 132 140 154 160 165 166 168 176 192 210 220 224 231 240 242 249 264 280 308 320 330 332 336 352 363 384 385 415 420 440 448 462 480 484 498 528 560 581 605 616 640 660 664 672 704 726 770 830 840 847 880 896 913 924 960 968 996 1056 1120 1155 1162 1210 1232 1245 1320 1328 1344 1408 1452 1540 1660 1680 1694 1743 1760 1815 1826 1848 1920 1936 1992 2112 2240 2310 2324 2420 2464 2490 2541 2640 2656 2688 2739 2904 2905 3080 3320 3360 3388 3486 3520 3630 3652 3696 3872 3984 4224 4235 4480 4565 4620 4648 4840 4928 4980 5082 5280 5312 5478 5808 5810 6160 6391 6640 6720 6776 6972 7040 7260 7304 7392 7744 7968 8470 8715 9130 9240 9296 9680 9856 9960 10043 10164 10560 10624 10956 11616 11620 12320 12705 12782 13280 13440 13552 13695 13944 14520 14608 14784 15488 15936 16940 17430 18260 18480 18592 19173 19360 19920 20086 20328 21120 21912 23232 23240 24640 25410 25564 26560 27104 27390 27888 29040 29216 29568 30129 31872 31955 33880 34860 36520 36960 37184 38346 38720 39840 40172 40656 43824 46464 46480 49280 50215 50820 51128 53120 54208 54780 55776 58080 58432 60258 63910 67760 69720 70301 73040 73920 74368 76692 77440 79680 80344 81312 87648 92960 95865 100430 101640 102256 108416 109560 111552 116160 116864 120516 127820 135520 139440 140602 146080 147840 150645 153384 159360 160688 162624 175296 185920 191730 200860 203280 204512 210903 219120 223104 232320 241032 255640 271040 278880 281204 292160 301290 306768 321376 325248 350592 351505 371840 383460 401720 406560 409024 421806 438240 482064 511280 542080 557760 562408 584320 602580 613536 642752 703010 766920 803440 813120 818048 843612 876480 964128 1022560 1054515 1115520 1124816 1205160 1227072 1285504 1406020 1533840 1606880 1626240 1687224 1752960 1928256 2045120 2109030 2249632 2410320 2454144 2812040 3067680 3213760 3374448 3856512 4090240 4218060 4499264 4820640 5624080 6135360 6427520 6748896 8436120 8998528 9641280 11248160 12270720 13497792 16872240 19282560 22496320 26995584 33744480 44992640 67488960 134977920
- Sum of all divisors σ(n): 546981120
- Sum of proper divisors (its aliquot sum) s(n): 412003200
- 134977920 is an abundant number, because the sum of its proper divisors (412003200) is greater than itself. Its abundance is 277025280
Bases of 134977920
- Binary: 10000000101110011001100000002
- Hexadecimal: 0x80B9980
- Base-36: 28D1MO
Squares and roots of 134977920
- 134977920 squared (1349779202) is 18219038887526400
- 134977920 cubed (1349779203) is 2459167973437427417088000
-
The
square root of 134977920 is 11617.9998278533 -
The
cube root of 134977920 is 512.9648148719
Scales and comparisons
How big is 134977920?- 134,977,920 seconds is equal to 4 years, 15 weeks, 1 day, 5 hours, 52 minutes.
-
To count from 1 to 134,977,920 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 134977920 cubic inches would be around 42.7 feet tall.
Recreational maths with 134977920
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