136988800
136,988,800 is an even composite number composed of five prime numbers multiplied together.
136988800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 136988800:
27 × 52 × 13 × 37 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 89)See below for interesting mathematical facts about the number 136988800 from the Numbermatics database.
Names of 136988800
- Cardinal: 136988800 can be written as One hundred thirty-six million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.369888 × 108
Factors of 136988800
Divisors of 136988800
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 89 100 104 128 130 148 160 178 185 200 208 260 296 320 325 356 370 400 416 445 481 520 592 640 650 712 740 800 832 890 925 962 1040 1157 1184 1300 1424 1480 1600 1664 1780 1850 1924 2080 2225 2314 2368 2405 2600 2848 2960 3200 3293 3560 3700 3848 4160 4450 4628 4736 4810 5200 5696 5785 5920 6586 7120 7400 7696 8320 8900 9256 9620 10400 11392 11570 11840 12025 13172 14240 14800 15392 16465 17800 18512 19240 20800 23140 23680 24050 26344 28480 28925 29600 30784 32930 35600 37024 38480 41600 42809 46280 48100 52688 56960 57850 59200 61568 65860 71200 74048 76960 82325 85618 92560 96200 105376 115700 118400 131720 142400 148096 153920 164650 171236 185120 192400 210752 214045 231400 263440 284800 307840 329300 342472 370240 384800 421504 428090 462800 526880 658600 684944 740480 769600 856180 925600 1053760 1070225 1317200 1369888 1539200 1712360 1851200 2107520 2140450 2634400 2739776 3424720 3702400 4280900 5268800 5479552 6849440 8561800 10537600 13698880 17123600 27397760 34247200 68494400 136988800
- Sum of all divisors σ(n): 378491400
- Sum of proper divisors (its aliquot sum) s(n): 241502600
- 136988800 is an abundant number, because the sum of its proper divisors (241502600) is greater than itself. Its abundance is 104513800
Bases of 136988800
- Binary: 10000010101001001000100000002
- Hexadecimal: 0x82A4880
- Base-36: 29K58G
Squares and roots of 136988800
- 136988800 squared (1369888002) is 18765931325440000
- 136988800 cubed (1369888003) is 2570722413154435072000000
-
The
square root of 136988800 is 11704.2214606525 -
The
cube root of 136988800 is 515.4996251035
Scales and comparisons
How big is 136988800?- 136,988,800 seconds is equal to 4 years, 18 weeks, 3 days, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 136,988,800 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 136988800 cubic inches would be around 43 feet tall.
Recreational maths with 136988800
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