148135680
148,135,680 is an even composite number composed of six prime numbers multiplied together.
148135680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 148135680:
28 × 32 × 5 × 7 × 11 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 167)See below for interesting mathematical facts about the number 148135680 from the Numbermatics database.
Names of 148135680
- Cardinal: 148135680 can be written as One hundred forty-eight million, one hundred thirty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.4813568 × 108
Factors of 148135680
Divisors of 148135680
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 110 112 120 126 128 132 140 144 154 160 165 167 168 176 180 192 198 210 220 224 231 240 252 256 264 280 288 308 315 320 330 334 336 352 360 384 385 396 420 440 448 462 480 495 501 504 528 560 576 616 630 640 660 668 672 693 704 720 768 770 792 835 840 880 896 924 960 990 1002 1008 1056 1120 1152 1155 1169 1232 1260 1280 1320 1336 1344 1386 1408 1440 1503 1540 1584 1670 1680 1760 1792 1837 1848 1920 1980 2004 2016 2112 2240 2304 2310 2338 2464 2505 2520 2640 2672 2688 2772 2816 2880 3006 3080 3168 3340 3360 3465 3507 3520 3674 3696 3840 3960 4008 4032 4224 4480 4620 4676 4928 5010 5040 5280 5344 5376 5511 5544 5760 5845 6012 6160 6336 6680 6720 6930 7014 7040 7348 7392 7515 7920 8016 8064 8448 8960 9185 9240 9352 9856 10020 10080 10521 10560 10688 11022 11088 11520 11690 12024 12320 12672 12859 13360 13440 13860 14028 14080 14696 14784 15030 15840 16032 16128 16533 17535 18370 18480 18704 19712 20040 20160 21042 21120 21376 22044 22176 23380 24048 24640 25344 25718 26720 26880 27555 27720 28056 29392 29568 30060 31680 32064 33066 35070 36740 36960 37408 38577 40080 40320 42084 42240 42752 44088 44352 46760 48096 49280 51436 52605 53440 55110 55440 56112 58784 59136 60120 63360 64128 64295 66132 70140 73480 73920 74816 77154 80160 80640 82665 84168 88176 88704 93520 96192 98560 102872 105210 106880 110220 110880 112224 115731 117568 120240 126720 128256 128590 132264 140280 146960 147840 149632 154308 160320 165330 168336 176352 177408 187040 192384 192885 205744 210420 213760 220440 221760 224448 231462 235136 240480 257180 264528 280560 293920 295680 299264 308616 320640 330660 336672 352704 374080 384768 385770 411488 420840 440880 443520 448896 462924 470272 480960 514360 529056 561120 578655 587840 617232 641280 661320 673344 705408 748160 771540 822976 841680 881760 887040 897792 925848 961920 1028720 1058112 1122240 1157310 1175680 1234464 1322640 1346688 1410816 1496320 1543080 1645952 1683360 1763520 1851696 1923840 2057440 2116224 2244480 2314620 2351360 2468928 2645280 2693376 3086160 3291904 3366720 3527040 3703392 4114880 4232448 4488960 4629240 4937856 5290560 6172320 6733440 7054080 7406784 8229760 9258480 9875712 10581120 12344640 13466880 14813568 16459520 18516960 21162240 24689280 29627136 37033920 49378560 74067840 148135680
- Sum of all divisors σ(n): 642829824
- Sum of proper divisors (its aliquot sum) s(n): 494694144
- 148135680 is an abundant number, because the sum of its proper divisors (494694144) is greater than itself. Its abundance is 346558464
Bases of 148135680
- Binary: 10001101010001011111000000002
- Hexadecimal: 0x8D45F00
- Base-36: 2G7280
Squares and roots of 148135680
- 148135680 squared (1481356802) is 21944179689062400
- 148135680 cubed (1481356803) is 3250715980281447186432000
-
The
square root of 148135680 is 12171.1001967777 -
The
cube root of 148135680 is 529.1188396093
Scales and comparisons
How big is 148135680?- 148,135,680 seconds is equal to 4 years, 36 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 148,135,680 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 148135680 cubic inches would be around 44.1 feet tall.
Recreational maths with 148135680
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