135507840
135,507,840 is an even composite number composed of six prime numbers multiplied together.
135507840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 135507840:
27 × 3 × 5 × 13 × 61 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 61 × 89)See below for interesting mathematical facts about the number 135507840 from the Numbermatics database.
Names of 135507840
- Cardinal: 135507840 can be written as One hundred thirty-five million, five hundred seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3550784 × 108
Factors of 135507840
Divisors of 135507840
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 61 64 65 78 80 89 96 104 120 122 128 130 156 160 178 183 192 195 208 240 244 260 267 305 312 320 356 366 384 390 416 445 480 488 520 534 610 624 640 712 732 780 793 832 890 915 960 976 1040 1068 1157 1220 1248 1335 1424 1464 1560 1586 1664 1780 1830 1920 1952 2080 2136 2314 2379 2440 2496 2670 2848 2928 3120 3172 3471 3560 3660 3904 3965 4160 4272 4628 4758 4880 4992 5340 5429 5696 5785 5856 6240 6344 6942 7120 7320 7808 7930 8320 8544 9256 9516 9760 10680 10858 11392 11570 11712 11895 12480 12688 13884 14240 14640 15860 16287 17088 17355 18512 19032 19520 21360 21716 23140 23424 23790 24960 25376 27145 27768 28480 29280 31720 32574 34176 34710 37024 38064 39040 42720 43432 46280 47580 50752 54290 55536 56960 58560 63440 65148 69420 70577 74048 76128 81435 85440 86864 92560 95160 101504 108580 111072 117120 126880 130296 138840 141154 148096 152256 162870 170880 173728 185120 190320 211731 217160 222144 253760 260592 277680 282308 304512 325740 347456 352885 370240 380640 423462 434320 444288 507520 521184 555360 564616 651480 694912 705770 740480 761280 846924 868640 1042368 1058655 1110720 1129232 1302960 1411540 1522560 1693848 1737280 2084736 2117310 2221440 2258464 2605920 2823080 3387696 3474560 4234620 4516928 5211840 5646160 6775392 8469240 9033856 10423680 11292320 13550784 16938480 22584640 27101568 33876960 45169280 67753920 135507840
- Sum of all divisors σ(n): 478094400
- Sum of proper divisors (its aliquot sum) s(n): 342586560
- 135507840 is an abundant number, because the sum of its proper divisors (342586560) is greater than itself. Its abundance is 207078720
Bases of 135507840
- Binary: 10000001001110101111100000002
- Hexadecimal: 0x813AF80
- Base-36: 28OEIO
Squares and roots of 135507840
- 135507840 squared (1355078402) is 18362374701465600
- 135507840 cubed (1355078403) is 2488245733066248290304000
-
The
square root of 135507840 is 11640.7834787869 -
The
cube root of 135507840 is 513.6352340421
Scales and comparisons
How big is 135507840?- 135,507,840 seconds is equal to 4 years, 16 weeks, 9 hours, 4 minutes.
-
To count from 1 to 135,507,840 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 135507840 cubic inches would be around 42.8 feet tall.
Recreational maths with 135507840
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