122728320
122,728,320 is an even composite number composed of six prime numbers multiplied together.
122728320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 122728320:
27 × 32 × 5 × 11 × 13 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 149)See below for interesting mathematical facts about the number 122728320 from the Numbermatics database.
Names of 122728320
- Cardinal: 122728320 can be written as One hundred twenty-two million, seven hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.2272832 × 108
Factors of 122728320
Divisors of 122728320
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 64 65 66 72 78 80 88 90 96 99 104 110 117 120 128 130 132 143 144 149 156 160 165 176 180 192 195 198 208 220 234 240 260 264 286 288 298 312 320 330 352 360 384 390 396 416 429 440 447 468 480 495 520 528 572 576 585 596 624 640 660 704 715 720 745 780 792 832 858 880 894 936 960 990 1040 1056 1144 1152 1170 1192 1248 1287 1320 1341 1408 1430 1440 1490 1560 1584 1639 1664 1716 1760 1788 1872 1920 1937 1980 2080 2112 2145 2235 2288 2340 2384 2496 2574 2640 2682 2860 2880 2980 3120 3168 3278 3432 3520 3576 3744 3874 3960 4160 4224 4290 4470 4576 4680 4768 4917 4992 5148 5280 5364 5720 5760 5811 5960 6240 6336 6435 6556 6705 6864 7040 7152 7488 7748 7920 8195 8320 8580 8940 9152 9360 9536 9685 9834 10296 10560 10728 11440 11622 11920 12480 12672 12870 13112 13410 13728 14304 14751 14976 15496 15840 16390 17160 17433 17880 18304 18720 19072 19370 19668 20592 21120 21307 21456 22880 23244 23840 24585 24960 25740 26224 26820 27456 28608 29055 29502 30992 31680 32780 34320 34866 35760 37440 38740 39336 41184 42614 42912 45760 46488 47680 49170 51480 52448 53640 54912 57216 58110 59004 61984 63360 63921 65560 68640 69732 71520 73755 74880 77480 78672 82368 85228 85824 87165 91520 92976 95360 98340 102960 104896 106535 107280 116220 118008 123968 127842 131120 137280 139464 143040 147510 154960 157344 164736 170456 171648 174330 185952 191763 196680 205920 209792 213070 214560 232440 236016 247936 255684 262240 274560 278928 286080 295020 309920 314688 319605 340912 348660 371904 383526 393360 411840 426140 429120 464880 472032 511368 524480 557856 590040 619840 629376 639210 681824 697320 743808 767052 786720 823680 852280 858240 929760 944064 958815 1022736 1048960 1115712 1180080 1239680 1278420 1363648 1394640 1534104 1573440 1704560 1859520 1888128 1917630 2045472 2231424 2360160 2556840 2727296 2789280 3068208 3146880 3409120 3719040 3835260 4090944 4720320 5113680 5578560 6136416 6818240 7670520 8181888 9440640 10227360 11157120 12272832 13636480 15341040 20454720 24545664 30682080 40909440 61364160 122728320
- Sum of all divisors σ(n): 501228000
- Sum of proper divisors (its aliquot sum) s(n): 378499680
- 122728320 is an abundant number, because the sum of its proper divisors (378499680) is greater than itself. Its abundance is 255771360
Bases of 122728320
- Binary: 1110101000010101111100000002
- Hexadecimal: 0x750AF80
- Base-36: 212HS0
Squares and roots of 122728320
- 122728320 squared (1227283202) is 15062240530022400
- 122728320 cubed (1227283203) is 1848563475685558714368000
-
The
square root of 122728320 is 11078.2814551717 -
The
cube root of 122728320 is 496.9525572539
Scales and comparisons
How big is 122728320?- 122,728,320 seconds is equal to 3 years, 46 weeks, 6 days, 11 hours, 12 minutes.
-
To count from 1 to 122,728,320 would take you about five 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 122728320 cubic inches would be around 41.4 feet tall.
Recreational maths with 122728320
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