132148800
132,148,800 is an even composite number composed of six prime numbers multiplied together.
132148800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 132148800:
26 × 33 × 52 × 7 × 19 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 23)See below for interesting mathematical facts about the number 132148800 from the Numbermatics database.
Names of 132148800
- Cardinal: 132148800 can be written as One hundred thirty-two million, one hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.321488 × 108
Factors of 132148800
Divisors of 132148800
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 25 27 28 30 32 35 36 38 40 42 45 46 48 50 54 56 57 60 63 64 69 70 72 75 76 80 84 90 92 95 96 100 105 108 112 114 115 120 126 133 135 138 140 144 150 152 160 161 168 171 175 180 184 189 190 192 200 207 210 216 224 225 228 230 240 252 266 270 276 280 285 288 300 304 315 320 322 336 342 345 350 360 368 378 380 399 400 414 420 432 437 448 450 456 460 475 480 483 504 513 525 532 540 552 560 570 575 576 600 608 621 630 644 665 672 675 684 690 700 720 736 756 760 798 800 805 828 840 855 864 874 900 912 920 945 950 960 966 1008 1026 1035 1050 1064 1080 1104 1120 1140 1150 1197 1200 1216 1242 1260 1288 1311 1330 1344 1350 1368 1380 1400 1425 1440 1449 1472 1512 1520 1575 1596 1600 1610 1656 1680 1710 1725 1728 1748 1800 1824 1840 1890 1900 1932 1995 2016 2052 2070 2100 2128 2160 2185 2208 2240 2280 2300 2394 2400 2415 2484 2520 2565 2576 2622 2660 2700 2736 2760 2800 2850 2880 2898 3024 3040 3059 3105 3150 3192 3220 3312 3325 3360 3420 3450 3496 3591 3600 3648 3680 3780 3800 3864 3933 3990 4025 4032 4104 4140 4200 4256 4275 4320 4347 4370 4416 4560 4600 4725 4788 4800 4830 4968 5040 5130 5152 5175 5244 5320 5400 5472 5520 5600 5700 5796 5985 6048 6080 6118 6210 6300 6384 6440 6555 6624 6650 6720 6840 6900 6992 7182 7200 7245 7360 7560 7600 7728 7866 7980 8050 8208 8280 8400 8512 8550 8640 8694 8740 9120 9177 9200 9450 9576 9660 9936 9975 10080 10260 10304 10350 10488 10640 10800 10925 10944 11040 11200 11400 11592 11799 11970 12075 12096 12236 12420 12600 12768 12825 12880 13110 13248 13300 13680 13800 13984 14364 14400 14490 15120 15200 15295 15456 15525 15732 15960 16100 16416 16560 16800 17100 17388 17480 17955 18240 18354 18400 18900 19152 19320 19665 19872 19950 20160 20520 20700 20976 21280 21600 21735 21850 22080 22800 23184 23598 23940 24150 24472 24840 25200 25536 25650 25760 26220 26600 27360 27531 27600 27968 28728 28980 29925 30240 30400 30590 30912 31050 31464 31920 32200 32775 32832 33120 33600 34200 34776 34960 35910 36225 36708 36800 37800 38304 38640 39330 39744 39900 41040 41400 41952 42560 43200 43470 43700 45600 45885 46368 47196 47880 48300 48944 49680 50400 51300 51520 52440 53200 54720 55062 55200 57456 57960 58995 59850 60480 61180 62100 62928 63840 64400 65550 66240 68400 69552 69920 71820 72450 73416 75600 76475 76608 77280 78660 79800 82080 82593 82800 83904 86940 87400 89775 91200 91770 92736 94392 95760 96600 97888 98325 99360 100800 102600 104880 106400 108675 110124 110400 114912 115920 117990 119700 122360 124200 125856 127680 128800 131100 136800 137655 139104 139840 143640 144900 146832 151200 152950 154560 157320 159600 164160 165186 165600 173880 174800 179550 183540 188784 191520 193200 195776 196650 198720 205200 209760 212800 217350 220248 229425 229824 231840 235980 239400 244720 248400 251712 257600 262200 273600 275310 278208 287280 289800 293664 294975 302400 305900 314640 319200 330372 331200 347760 349600 359100 367080 377568 383040 386400 393300 410400 412965 419520 434700 440496 458850 463680 471960 478800 489440 496800 524400 550620 574560 579600 587328 589950 611800 629280 638400 660744 688275 695520 699200 718200 734160 755136 772800 786600 820800 825930 869400 880992 917700 943920 957600 978880 993600 1048800 1101240 1149120 1159200 1179900 1223600 1258560 1321488 1376550 1391040 1436400 1468320 1573200 1651860 1738800 1761984 1835400 1887840 1915200 2064825 2097600 2202480 2318400 2359800 2447200 2642976 2753100 2872800 2936640 3146400 3303720 3477600 3670800 3775680 4129650 4404960 4719600 4894400 5285952 5506200 5745600 6292800 6607440 6955200 7341600 8259300 8809920 9439200 11012400 13214880 14683200 16518600 18878400 22024800 26429760 33037200 44049600 66074400 132148800
- Sum of all divisors σ(n): 604723200
- Sum of proper divisors (its aliquot sum) s(n): 472574400
- 132148800 is an abundant number, because the sum of its proper divisors (472574400) is greater than itself. Its abundance is 340425600
Bases of 132148800
- Binary: 1111110000001101110010000002
- Hexadecimal: 0x7E06E40
- Base-36: 26OEO0
Squares and roots of 132148800
- 132148800 squared (1321488002) is 17463305341440000
- 132148800 cubed (1321488003) is 2307754844904886272000000
-
The
square root of 132148800 is 11495.5991579387 -
The
cube root of 132148800 is 509.3555874771
Scales and comparisons
How big is 132148800?- 132,148,800 seconds is equal to 4 years, 10 weeks, 3 days, 12 hours.
-
To count from 1 to 132,148,800 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 132148800 cubic inches would be around 42.4 feet tall.
Recreational maths with 132148800
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