148112640
148,112,640 is an even composite number composed of six prime numbers multiplied together.
148112640 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 148112640:
28 × 32 × 5 × 13 × 23 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 23 × 43)See below for interesting mathematical facts about the number 148112640 from the Numbermatics database.
Names of 148112640
- Cardinal: 148112640 can be written as One hundred forty-eight million, one hundred twelve thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.4811264 × 108
Factors of 148112640
Divisors of 148112640
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 32 36 39 40 43 45 46 48 52 60 64 65 69 72 78 80 86 90 92 96 104 115 117 120 128 129 130 138 144 156 160 172 180 184 192 195 207 208 215 230 234 240 256 258 260 276 288 299 312 320 344 345 360 368 384 387 390 414 416 430 460 468 480 516 520 552 559 576 585 598 624 640 645 688 690 720 736 768 774 780 828 832 860 897 920 936 960 989 1032 1035 1040 1104 1118 1152 1170 1196 1248 1280 1290 1376 1380 1440 1472 1495 1548 1560 1656 1664 1677 1720 1794 1840 1872 1920 1935 1978 2064 2070 2080 2208 2236 2304 2340 2392 2496 2580 2691 2752 2760 2795 2880 2944 2967 2990 3096 3120 3312 3328 3354 3440 3588 3680 3744 3840 3870 3956 4128 4140 4160 4416 4472 4485 4680 4784 4945 4992 5031 5160 5382 5504 5520 5590 5760 5888 5934 5980 6192 6240 6624 6708 6880 7176 7360 7488 7740 7912 8256 8280 8320 8385 8832 8901 8944 8970 9360 9568 9890 9984 10062 10320 10764 11008 11040 11180 11520 11868 11960 12384 12480 12857 13248 13416 13455 13760 14352 14720 14835 14976 15480 15824 16512 16560 16640 16770 17664 17802 17888 17940 18720 19136 19780 20124 20640 21528 22080 22360 23736 23920 24768 24960 25155 25714 26496 26832 26910 27520 28704 29440 29670 29952 30960 31648 33024 33120 33540 35604 35776 35880 37440 38272 38571 39560 40248 41280 43056 44160 44505 44720 47472 47840 49536 49920 50310 51428 52992 53664 53820 55040 57408 59340 61920 63296 64285 66240 67080 71208 71552 71760 74880 76544 77142 79120 80496 82560 86112 88320 89010 89440 94944 95680 99072 100620 102856 107328 107640 114816 115713 118680 123840 126592 128570 132480 134160 142416 143104 143520 149760 154284 158240 160992 165120 172224 178020 178880 189888 191360 192855 201240 205712 214656 215280 229632 231426 237360 247680 253184 257140 264960 268320 284832 287040 308568 316480 321984 344448 356040 357760 379776 382720 385710 402480 411424 429312 430560 462852 474720 495360 514280 536640 569664 574080 578565 617136 632960 643968 688896 712080 715520 759552 771420 804960 822848 861120 925704 949440 1028560 1073280 1139328 1148160 1157130 1234272 1265920 1287936 1424160 1542840 1609920 1645696 1722240 1851408 1898880 2057120 2146560 2278656 2314260 2468544 2848320 3085680 3219840 3291392 3444480 3702816 3797760 4114240 4628520 4937088 5696640 6171360 6439680 7405632 8228480 9257040 9874176 11393280 12342720 14811264 16456960 18514080 24685440 29622528 37028160 49370880 74056320 148112640
- Sum of all divisors σ(n): 589260672
- Sum of proper divisors (its aliquot sum) s(n): 441148032
- 148112640 is an abundant number, because the sum of its proper divisors (441148032) is greater than itself. Its abundance is 293035392
Bases of 148112640
- Binary: 10001101010000000101000000002
- Hexadecimal: 0x8D40500
- Base-36: 2G6KG0
Squares and roots of 148112640
- 148112640 squared (1481126402) is 21937354127769600
- 148112640 cubed (1481126403) is 3249199434478852767744000
-
The
square root of 148112640 is 12170.1536555625 -
The
cube root of 148112640 is 529.0914063577
Scales and comparisons
How big is 148112640?- 148,112,640 seconds is equal to 4 years, 36 weeks, 6 days, 6 hours, 24 minutes.
-
To count from 1 to 148,112,640 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 148112640 cubic inches would be around 44.1 feet tall.
Recreational maths with 148112640
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