142531200
142,531,200 is an even composite number composed of five prime numbers multiplied together.
142531200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 142531200:
27 × 32 × 52 × 72 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 101)See below for interesting mathematical facts about the number 142531200 from the Numbermatics database.
Names of 142531200
- Cardinal: 142531200 can be written as One hundred forty-two million, five hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.425312 × 108
Factors of 142531200
Divisors of 142531200
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 101 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 202 210 224 225 240 245 252 280 288 294 300 303 315 320 336 350 360 384 392 400 404 420 441 448 450 480 490 504 505 525 560 576 588 600 606 630 640 672 700 707 720 735 784 800 808 840 882 896 900 909 960 980 1008 1010 1050 1120 1152 1176 1200 1212 1225 1260 1344 1400 1414 1440 1470 1515 1568 1575 1600 1616 1680 1764 1800 1818 1920 1960 2016 2020 2100 2121 2205 2240 2352 2400 2424 2450 2520 2525 2688 2800 2828 2880 2940 3030 3136 3150 3200 3232 3360 3528 3535 3600 3636 3675 3920 4032 4040 4200 4242 4410 4480 4545 4704 4800 4848 4900 4949 5040 5050 5600 5656 5760 5880 6060 6272 6300 6363 6464 6720 7056 7070 7200 7272 7350 7575 7840 8064 8080 8400 8484 8820 9090 9408 9600 9696 9800 9898 10080 10100 10605 11025 11200 11312 11760 12120 12600 12726 12928 13440 14112 14140 14400 14544 14700 14847 15150 15680 16160 16800 16968 17640 17675 18180 18816 19392 19600 19796 20160 20200 21210 22050 22400 22624 22725 23520 24240 24745 25200 25452 28224 28280 28800 29088 29400 29694 30300 31360 31815 32320 33600 33936 35280 35350 36360 38784 39200 39592 40320 40400 42420 44100 44541 45248 45450 47040 48480 49490 50400 50904 53025 56448 56560 58176 58800 59388 60600 63630 64640 67200 67872 70560 70700 72720 74235 78400 79184 80800 84840 88200 89082 90496 90900 94080 96960 98980 100800 101808 106050 113120 116352 117600 118776 121200 123725 127260 135744 141120 141400 145440 148470 156800 158368 159075 161600 169680 176400 178164 181800 193920 197960 201600 203616 212100 222705 226240 235200 237552 242400 247450 254520 271488 282240 282800 290880 296940 316736 318150 323200 339360 352800 356328 363600 371175 395920 407232 424200 445410 452480 470400 475104 484800 494900 509040 565600 581760 593880 633472 636300 678720 705600 712656 727200 742350 791840 814464 848400 890820 950208 969600 989800 1018080 1113525 1131200 1187760 1272600 1357440 1411200 1425312 1454400 1484700 1583680 1696800 1781640 1900416 1979600 2036160 2227050 2262400 2375520 2545200 2850624 2908800 2969400 3167360 3393600 3563280 3959200 4072320 4454100 4751040 5090400 5701248 5938800 6787200 7126560 7918400 8908200 9502080 10180800 11877600 14253120 15836800 17816400 20361600 23755200 28506240 35632800 47510400 71265600 142531200
- Sum of all divisors σ(n): 597475710
- Sum of proper divisors (its aliquot sum) s(n): 454944510
- 142531200 is an abundant number, because the sum of its proper divisors (454944510) is greater than itself. Its abundance is 312413310
Bases of 142531200
- Binary: 10000111111011011010100000002
- Hexadecimal: 0x87EDA80
- Base-36: 2CUXS0
Squares and roots of 142531200
- 142531200 squared (1425312002) is 20315142973440000
- 142531200 cubed (1425312003) is 2895541706175971328000000
-
The
square root of 142531200 is 11938.6431389835 -
The
cube root of 142531200 is 522.3600809691
Scales and comparisons
How big is 142531200?- 142,531,200 seconds is equal to 4 years, 27 weeks, 4 days, 16 hours.
-
To count from 1 to 142,531,200 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 142531200 cubic inches would be around 43.5 feet tall.
Recreational maths with 142531200
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