135214560
135,214,560 is an even composite number composed of six prime numbers multiplied together.
135214560 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 135214560:
25 × 32 × 5 × 13 × 31 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 233)See below for interesting mathematical facts about the number 135214560 from the Numbermatics database.
Names of 135214560
- Cardinal: 135214560 can be written as One hundred thirty-five million, two hundred fourteen thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3521456 × 108
Factors of 135214560
Divisors of 135214560
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 48 52 60 62 65 72 78 80 90 93 96 104 117 120 124 130 144 155 156 160 180 186 195 208 233 234 240 248 260 279 288 310 312 360 372 390 403 416 465 466 468 480 496 520 558 585 620 624 699 720 744 780 806 930 932 936 992 1040 1116 1165 1170 1209 1240 1248 1395 1398 1440 1488 1560 1612 1860 1864 1872 2015 2080 2097 2232 2330 2340 2418 2480 2790 2796 2976 3029 3120 3224 3495 3627 3720 3728 3744 4030 4194 4464 4660 4680 4836 4960 5580 5592 6045 6058 6240 6448 6990 7223 7254 7440 7456 8060 8388 8928 9087 9320 9360 9672 10485 11160 11184 12090 12116 12896 13980 14446 14508 14880 15145 16120 16776 18135 18174 18640 18720 19344 20970 21669 22320 22368 24180 24232 27261 27960 28892 29016 30290 32240 33552 36115 36270 36348 37280 38688 41940 43338 44640 45435 48360 48464 54522 55920 57784 58032 60580 64480 65007 67104 72230 72540 72696 83880 86676 90870 93899 96720 96928 108345 109044 111840 115568 116064 121160 130014 136305 144460 145080 145392 167760 173352 181740 187798 193440 216690 218088 231136 242320 260028 272610 281697 288920 290160 290784 325035 335520 346704 363480 375596 433380 436176 469495 484640 520056 545220 563394 577840 580320 650070 693408 726960 751192 845091 866760 872352 938990 1040112 1090440 1126788 1155680 1300140 1408485 1453920 1502384 1690182 1733520 1877980 2080224 2180880 2253576 2600280 2816970 3004768 3380364 3467040 3755960 4225455 4361760 4507152 5200560 5633940 6760728 7511920 8450910 9014304 10401120 11267880 13521456 15023840 16901820 22535760 27042912 33803640 45071520 67607280 135214560
- Sum of all divisors σ(n): 515144448
- Sum of proper divisors (its aliquot sum) s(n): 379929888
- 135214560 is an abundant number, because the sum of its proper divisors (379929888) is greater than itself. Its abundance is 244715328
Bases of 135214560
- Binary: 10000000111100110101111000002
- Hexadecimal: 0x80F35E0
- Base-36: 28I480
Squares and roots of 135214560
- 135214560 squared (1352145602) is 18282977235993600
- 135214560 cubed (1352145603) is 2472124722454890786816000
-
The
square root of 135214560 is 11628.1795651771 -
The
cube root of 135214560 is 513.2644123283
Scales and comparisons
How big is 135214560?- 135,214,560 seconds is equal to 4 years, 15 weeks, 3 days, 23 hours, 36 minutes.
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To count from 1 to 135,214,560 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 135214560 cubic inches would be around 42.8 feet tall.
Recreational maths with 135214560
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