152349120
152,349,120 is an even composite number composed of six prime numbers multiplied together.
152349120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 152349120:
26 × 33 × 5 × 7 × 11 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 229)See below for interesting mathematical facts about the number 152349120 from the Numbermatics database.
Names of 152349120
- Cardinal: 152349120 can be written as One hundred fifty-two million, three hundred forty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.5234912 × 108
Factors of 152349120
Divisors of 152349120
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 165 168 176 180 189 192 198 210 216 220 224 229 231 240 252 264 270 280 288 297 308 315 320 330 336 352 360 378 385 396 420 432 440 448 458 462 480 495 504 528 540 560 576 594 616 630 660 672 687 693 704 720 756 770 792 840 864 880 916 924 945 960 990 1008 1056 1080 1120 1145 1155 1188 1232 1260 1320 1344 1374 1386 1440 1485 1512 1540 1584 1603 1680 1728 1760 1832 1848 1890 1980 2016 2061 2079 2112 2160 2240 2290 2310 2376 2464 2519 2520 2640 2748 2772 2880 2970 3024 3080 3168 3206 3360 3435 3465 3520 3664 3696 3780 3960 4032 4122 4158 4320 4580 4620 4752 4809 4928 5038 5040 5280 5496 5544 5940 6048 6160 6183 6336 6412 6720 6870 6930 7328 7392 7557 7560 7920 8015 8244 8316 8640 9160 9240 9504 9618 10076 10080 10305 10395 10560 10992 11088 11880 12096 12320 12366 12595 12824 13740 13860 14427 14656 14784 15114 15120 15840 16030 16488 16632 17633 18320 18480 19008 19236 20152 20160 20610 20790 21984 22176 22671 23760 24045 24640 24732 25190 25648 27480 27720 28854 30228 30240 30915 31680 32060 32976 33264 35266 36640 36960 37785 38472 40304 41220 41580 43281 43968 44352 45342 47520 48090 49464 50380 51296 52899 54960 55440 57708 60456 60480 61830 64120 65952 66528 68013 70532 72135 73280 73920 75570 76944 80608 82440 83160 86562 88165 90684 95040 96180 98928 100760 102592 105798 109920 110880 113355 115416 120912 123660 128240 131904 133056 136026 141064 144270 151140 153888 158697 161216 164880 166320 173124 176330 181368 192360 197856 201520 211596 216405 219840 221760 226710 230832 241824 247320 256480 264495 272052 282128 288540 302280 307776 317394 329760 332640 340065 346248 352660 362736 384720 395712 403040 423192 432810 453420 461664 476091 483648 494640 512960 528990 544104 564256 577080 604560 634788 659520 665280 680130 692496 705320 725472 769440 793485 806080 846384 865620 906840 923328 952182 989280 1057980 1088208 1128512 1154160 1209120 1269576 1360260 1384992 1410640 1450944 1538880 1586970 1692768 1731240 1813680 1904364 1978560 2115960 2176416 2308320 2380455 2418240 2539152 2720520 2769984 2821280 3173940 3385536 3462480 3627360 3808728 4231920 4352832 4616640 4760910 5078304 5441040 5642560 6347880 6924960 7254720 7617456 8463840 9521820 10156608 10882080 12695760 13849920 15234912 16927680 19043640 21764160 25391520 30469824 38087280 50783040 76174560 152349120
- Sum of all divisors σ(n): 672998400
- Sum of proper divisors (its aliquot sum) s(n): 520649280
- 152349120 is an abundant number, because the sum of its proper divisors (520649280) is greater than itself. Its abundance is 368300160
Bases of 152349120
- Binary: 10010001010010101001110000002
- Hexadecimal: 0x914A9C0
- Base-36: 2IPDC0
Squares and roots of 152349120
- 152349120 squared (1523491202) is 23210254364774400
- 152349120 cubed (1523491203) is 3536061827449538838528000
-
The
square root of 152349120 is 12342.9785708313 -
The
cube root of 152349120 is 534.0886104691
Scales and comparisons
How big is 152349120?- 152,349,120 seconds is equal to 4 years, 43 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 152,349,120 would take you about seven 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 152349120 cubic inches would be around 44.5 feet tall.
Recreational maths with 152349120
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