134328480
134,328,480 is an even composite number composed of seven prime numbers multiplied together.
134328480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134328480:
25 × 3 × 5 × 11 × 13 × 19 × 103
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 19 × 103)See below for interesting mathematical facts about the number 134328480 from the Numbermatics database.
Names of 134328480
- Cardinal: 134328480 can be written as One hundred thirty-four million, three hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3432848 × 108
Factors of 134328480
Divisors of 134328480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 32 33 38 39 40 44 48 52 55 57 60 65 66 76 78 80 88 95 96 103 104 110 114 120 130 132 143 152 156 160 165 176 190 195 206 208 209 220 228 240 247 260 264 285 286 304 309 312 330 352 380 390 412 416 418 429 440 456 480 494 515 520 528 570 572 608 618 624 627 660 715 741 760 780 824 836 858 880 912 988 1030 1040 1045 1056 1133 1140 1144 1235 1236 1248 1254 1320 1339 1430 1482 1520 1545 1560 1648 1672 1716 1760 1824 1957 1976 2060 2080 2090 2145 2266 2280 2288 2470 2472 2508 2640 2678 2717 2860 2964 3040 3090 3120 3135 3296 3344 3399 3432 3705 3914 3952 4017 4120 4180 4290 4532 4560 4576 4940 4944 5016 5280 5356 5434 5665 5720 5871 5928 6180 6240 6270 6688 6695 6798 6864 7410 7828 7904 8034 8151 8240 8360 8580 9064 9120 9785 9880 9888 10032 10712 10868 11330 11440 11742 11856 12360 12540 13390 13585 13596 13728 14729 14820 15656 16068 16302 16480 16720 16995 17160 18128 19570 19760 20064 20085 21424 21527 21736 22660 22880 23484 23712 24720 25080 25441 26780 27170 27192 29355 29458 29640 31312 32136 32604 33440 33990 34320 36256 39140 39520 40170 40755 42848 43054 43472 44187 45320 46968 49440 50160 50882 53560 54340 54384 58710 58916 59280 62624 64272 64581 65208 67980 68640 73645 76323 78280 80340 81510 86108 86944 88374 90640 93936 100320 101764 107120 107635 108680 108768 117420 117832 118560 127205 128544 129162 130416 135960 147290 152646 156560 160680 163020 172216 176748 181280 187872 203528 214240 215270 217360 220935 234840 235664 254410 258324 260832 271920 279851 294580 305292 313120 321360 322905 326040 344432 353496 381615 407056 430540 434720 441870 469680 471328 508820 516648 543840 559702 589160 610584 642720 645810 652080 688864 706992 763230 814112 839553 861080 883740 939360 1017640 1033296 1119404 1178320 1221168 1291620 1304160 1399255 1413984 1526460 1679106 1722160 1767480 2035280 2066592 2238808 2356640 2442336 2583240 2798510 3052920 3358212 3444320 3534960 4070560 4197765 4477616 5166480 5597020 6105840 6716424 7069920 8395530 8955232 10332960 11194040 12211680 13432848 16791060 22388080 26865696 33582120 44776160 67164240 134328480
- Sum of all divisors σ(n): 528353280
- Sum of proper divisors (its aliquot sum) s(n): 394024800
- 134328480 is an abundant number, because the sum of its proper divisors (394024800) is greater than itself. Its abundance is 259696320
Bases of 134328480
- Binary: 10000000000110110000101000002
- Hexadecimal: 0x801B0A0
- Base-36: 27Z4IO
Squares and roots of 134328480
- 134328480 squared (1343284802) is 18044140539110400
- 134328480 cubed (1343284803) is 2423841971525080584192000
-
The
square root of 134328480 is 11590.0163934311 -
The
cube root of 134328480 is 512.1407897327
Scales and comparisons
How big is 134328480?- 134,328,480 seconds is equal to 4 years, 14 weeks, 17 hours, 28 minutes.
-
To count from 1 to 134,328,480 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 134328480 cubic inches would be around 42.7 feet tall.
Recreational maths with 134328480
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