149997120
149,997,120 is an even composite number composed of seven prime numbers multiplied together.
149997120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 149997120:
26 × 3 × 5 × 7 × 13 × 17 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 17 × 101)See below for interesting mathematical facts about the number 149997120 from the Numbermatics database.
Names of 149997120
- Cardinal: 149997120 can be written as One hundred forty-nine million, nine hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.4999712 × 108
Factors of 149997120
Divisors of 149997120
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 51 52 56 60 64 65 68 70 78 80 84 85 91 96 101 102 104 105 112 119 120 130 136 140 156 160 168 170 182 192 195 202 204 208 210 221 224 238 240 255 260 272 273 280 303 312 320 336 340 357 364 390 404 408 416 420 442 448 455 476 480 505 510 520 544 546 560 595 606 624 663 672 680 707 714 728 780 808 816 832 840 884 910 952 960 1010 1020 1040 1088 1092 1105 1120 1190 1212 1248 1313 1326 1344 1360 1365 1414 1428 1456 1515 1547 1560 1616 1632 1680 1717 1768 1785 1820 1904 2020 2040 2080 2121 2184 2210 2240 2380 2424 2496 2626 2652 2720 2730 2828 2856 2912 3030 3094 3120 3232 3264 3315 3360 3434 3535 3536 3570 3640 3808 3939 4040 4080 4160 4242 4368 4420 4641 4760 4848 5151 5252 5304 5440 5460 5656 5712 5824 6060 6188 6240 6464 6565 6630 6720 6868 7070 7072 7140 7280 7616 7735 7878 8080 8160 8484 8585 8736 8840 9191 9282 9520 9696 10302 10504 10605 10608 10920 11312 11424 12019 12120 12376 12480 13130 13260 13736 14140 14144 14280 14560 15470 15756 16160 16320 16968 17170 17472 17680 18382 18564 19040 19392 19695 20604 21008 21210 21216 21840 22321 22624 22848 23205 24038 24240 24752 25755 26260 26520 27472 27573 28280 28560 29120 30940 31512 32320 33936 34340 35360 36057 36764 37128 38080 39390 41208 42016 42420 42432 43680 44642 45248 45955 46410 48076 48480 49504 51510 52520 53040 54944 55146 56560 57120 60095 61880 63024 66963 67872 68680 70720 72114 73528 74256 78780 82416 84032 84840 87360 89284 91910 92820 96152 96960 99008 103020 105040 106080 109888 110292 111605 113120 114240 120190 123760 126048 133926 135744 137360 137865 144228 147056 148512 156247 157560 164832 169680 178568 180285 183820 185640 192304 206040 210080 212160 220584 223210 226240 240380 247520 252096 267852 274720 275730 288456 294112 297024 312494 315120 329664 334815 339360 357136 360570 367640 371280 384608 412080 420160 441168 446420 468741 480760 495040 535704 549440 551460 576912 588224 624988 630240 669630 678720 714272 721140 735280 742560 769216 781235 824160 882336 892840 937482 961520 1071408 1102920 1153824 1249976 1260480 1339260 1428544 1442280 1470560 1485120 1562470 1648320 1764672 1785680 1874964 1923040 2142816 2205840 2307648 2343705 2499952 2678520 2884560 2941120 3124940 3571360 3749928 3846080 4285632 4411680 4687410 4999904 5357040 5769120 6249880 7142720 7499856 8823360 9374820 9999808 10714080 11538240 12499760 14999712 18749640 21428160 24999520 29999424 37499280 49999040 74998560 149997120
- Sum of all divisors σ(n): 626766336
- Sum of proper divisors (its aliquot sum) s(n): 476769216
- 149997120 is an abundant number, because the sum of its proper divisors (476769216) is greater than itself. Its abundance is 326772096
Bases of 149997120
- Binary: 10001111000011000110010000002
- Hexadecimal: 0x8F0C640
- Base-36: 2HAYIO
Squares and roots of 149997120
- 149997120 squared (1499971202) is 22499136008294400
- 149997120 cubed (1499971203) is 3374805603732456112128000
-
The
square root of 149997120 is 12247.3311378439 -
The
cube root of 149997120 is 531.3258840621
Scales and comparisons
How big is 149997120?- 149,997,120 seconds is equal to 4 years, 40 weeks, 1 hour, 52 minutes.
-
To count from 1 to 149,997,120 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 149997120 cubic inches would be around 44.3 feet tall.
Recreational maths with 149997120
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