134641200
134,641,200 is an even composite number composed of six prime numbers multiplied together.
134641200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 134641200:
24 × 3 × 52 × 29 × 53 × 73
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 53 × 73)See below for interesting mathematical facts about the number 134641200 from the Numbermatics database.
Names of 134641200
- Cardinal: 134641200 can be written as One hundred thirty-four million, six hundred forty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.346412 × 108
Factors of 134641200
Divisors of 134641200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 53 58 60 73 75 80 87 100 106 116 120 145 146 150 159 174 200 212 219 232 240 265 290 292 300 318 348 365 400 424 435 438 464 530 580 584 600 636 696 725 730 795 848 870 876 1060 1095 1160 1168 1200 1272 1325 1392 1450 1460 1537 1590 1740 1752 1825 2117 2120 2175 2190 2320 2544 2650 2900 2920 3074 3180 3480 3504 3650 3869 3975 4234 4240 4350 4380 4611 5300 5475 5800 5840 6148 6351 6360 6960 7300 7685 7738 7950 8468 8700 8760 9222 10585 10600 10950 11600 11607 12296 12702 12720 14600 15370 15476 15900 16936 17400 17520 18444 19345 21170 21200 21900 23055 23214 24592 25404 29200 30740 30952 31755 31800 33872 34800 36888 38425 38690 42340 43800 46110 46428 50808 52925 58035 61480 61904 63510 63600 73776 76850 77380 84680 87600 92220 92856 96725 101616 105850 112201 115275 116070 122960 127020 153700 154760 158775 169360 184440 185712 193450 211700 224402 230550 232140 254040 290175 307400 309520 317550 336603 368880 386900 423400 448804 461100 464280 508080 561005 580350 614800 635100 673206 773800 846800 897608 922200 928560 1122010 1160700 1270200 1346412 1547600 1683015 1795216 1844400 2244020 2321400 2540400 2692824 2805025 3366030 4488040 4642800 5385648 5610050 6732060 8415075 8976080 11220100 13464120 16830150 22440200 26928240 33660300 44880400 67320600 134641200
- Sum of all divisors σ(n): 460818720
- Sum of proper divisors (its aliquot sum) s(n): 326177520
- 134641200 is an abundant number, because the sum of its proper divisors (326177520) is greater than itself. Its abundance is 191536320
Bases of 134641200
- Binary: 10000000011001110110001100002
- Hexadecimal: 0x8067630
- Base-36: 285TTC
Squares and roots of 134641200
- 134641200 squared (1346412002) is 18128252737440000
- 134641200 cubed (1346412003) is 2440809702472206528000000
-
The
square root of 134641200 is 11603.4994721421 -
The
cube root of 134641200 is 512.5379071703
Scales and comparisons
How big is 134641200?- 134,641,200 seconds is equal to 4 years, 14 weeks, 4 days, 8 hours, 20 minutes.
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To count from 1 to 134,641,200 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 134641200 cubic inches would be around 42.7 feet tall.
Recreational maths with 134641200
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