148993440
148,993,440 is an even composite number composed of six prime numbers multiplied together.
148993440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 148993440:
25 × 3 × 5 × 17 × 19 × 312
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 19 × 31 × 31)See below for interesting mathematical facts about the number 148993440 from the Numbermatics database.
Names of 148993440
- Cardinal: 148993440 can be written as One hundred forty-eight million, nine hundred ninety-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.4899344 × 108
Factors of 148993440
Divisors of 148993440
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 31 32 34 38 40 48 51 57 60 62 68 76 80 85 93 95 96 102 114 120 124 136 152 155 160 170 186 190 204 228 240 248 255 272 285 304 310 323 340 372 380 408 456 465 480 496 510 527 544 570 589 608 620 646 680 744 760 816 912 930 961 969 992 1020 1054 1140 1178 1240 1292 1360 1488 1520 1581 1615 1632 1767 1824 1860 1922 1938 2040 2108 2280 2356 2480 2584 2635 2720 2883 2945 2976 3040 3162 3230 3534 3720 3844 3876 4080 4216 4560 4712 4805 4845 4960 5168 5270 5766 5890 6324 6460 7068 7440 7688 7752 7905 8160 8432 8835 9120 9424 9610 9690 10013 10336 10540 11532 11780 12648 12920 14136 14415 14880 15376 15504 15810 16337 16864 17670 18259 18848 19220 19380 20026 21080 23064 23560 25296 25840 28272 28830 30039 30752 31008 31620 32674 35340 36518 38440 38760 40052 42160 46128 47120 49011 50065 50592 51680 54777 56544 57660 60078 63240 65348 70680 73036 76880 77520 80104 81685 84320 91295 92256 94240 98022 100130 109554 115320 120156 126480 130696 141360 146072 150195 153760 155040 160208 163370 182590 196044 200260 219108 230640 240312 245055 252960 261392 273885 282720 292144 300390 310403 320416 326740 365180 392088 400520 438216 461280 480624 490110 522784 547770 584288 600780 620806 653480 730360 784176 801040 876432 931209 961248 980220 1095540 1201560 1241612 1306960 1460720 1552015 1568352 1602080 1752864 1862418 1960440 2191080 2403120 2483224 2613920 2921440 3104030 3724836 3920880 4382160 4656045 4806240 4966448 6208060 7449672 7841760 8764320 9312090 9932896 12416120 14899344 18624180 24832240 29798688 37248360 49664480 74496720 148993440
- Sum of all divisors σ(n): 540509760
- Sum of proper divisors (its aliquot sum) s(n): 391516320
- 148993440 is an abundant number, because the sum of its proper divisors (391516320) is greater than itself. Its abundance is 242522880
Bases of 148993440
- Binary: 10001110000101110101101000002
- Hexadecimal: 0x8E175A0
- Base-36: 2GPG2O
Squares and roots of 148993440
- 148993440 squared (1489934402) is 22199045163033600
- 148993440 cubed (1489934403) is 3307512103555736899584000
-
The
square root of 148993440 is 12206.2869047061 -
The
cube root of 148993440 is 530.1381389063
Scales and comparisons
How big is 148993440?- 148,993,440 seconds is equal to 4 years, 38 weeks, 2 days, 11 hours, 4 minutes.
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To count from 1 to 148,993,440 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 148993440 cubic inches would be around 44.2 feet tall.
Recreational maths with 148993440
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