4048138080
4,048,138,080 is an even composite number composed of six prime numbers multiplied together.
4048138080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 4048138080:
25 × 33 × 5 × 7 × 263 × 509
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 263 × 509)See below for interesting mathematical facts about the number 4048138080 from the Numbermatics database.
Names of 4048138080
- Cardinal: 4048138080 can be written as Four billion, forty-eight million, one hundred thirty-eight thousand and eighty.
Scientific notation
- Scientific notation: 4.04813808 × 109
Factors of 4048138080
Divisors of 4048138080
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 210 216 224 240 252 263 270 280 288 315 336 360 378 420 432 480 504 509 526 540 560 630 672 720 756 789 840 864 945 1008 1018 1052 1080 1120 1260 1315 1440 1512 1527 1578 1680 1841 1890 2016 2036 2104 2160 2367 2520 2545 2630 3024 3054 3156 3360 3563 3682 3780 3945 4072 4208 4320 4581 4734 5040 5090 5260 5523 6048 6108 6312 7101 7126 7364 7560 7635 7890 8144 8416 9162 9205 9468 10080 10180 10520 10689 11046 11835 12216 12624 13743 14202 14252 14728 15120 15270 15780 16288 16569 17815 18324 18410 18936 20360 21040 21378 22092 22905 23670 24432 25248 27486 27615 28404 28504 29456 30240 30540 31560 32067 33138 35505 35630 36648 36820 37872 40720 42080 42756 44184 45810 47340 48864 49707 53445 54972 55230 56808 57008 58912 61080 63120 64134 66276 68715 71010 71260 73296 73640 75744 81440 82845 85512 88368 91620 94680 96201 99414 106890 109944 110460 113616 114016 122160 126240 128268 132552 133867 137430 142020 142520 146592 147280 160335 165690 171024 176736 183240 189360 192402 198828 213780 219888 220920 227232 244320 248535 256536 265104 267734 274860 284040 285040 294560 320670 331380 342048 366480 378720 384804 397656 401601 427560 439776 441840 481005 497070 513072 530208 535468 549720 568080 570080 641340 662760 669335 732960 769608 795312 803202 855120 883680 937069 962010 994140 1026144 1070936 1099440 1136160 1204803 1282680 1325520 1338670 1539216 1590624 1606404 1710240 1874138 1924020 1988280 2008005 2141872 2198880 2409606 2565360 2651040 2677340 2811207 3078432 3212808 3614409 3748276 3848040 3976560 4016010 4283744 4685345 4819212 5130720 5354680 5622414 6024015 6425616 7228818 7496552 7696080 7953120 8032020 8433621 9370690 9638424 10709360 11244828 12048030 12851232 14056035 14457636 14993104 15392160 16064040 16867242 18072045 18741380 19276848 21418720 22489656 24096060 25300863 28112070 28915272 29986208 32128080 33734484 36144090 37482760 38553696 42168105 44979312 48192120 50601726 56224140 57830544 64256160 67468968 72288180 74965520 84336210 89958624 96384240 101203452 112448280 115661088 126504315 134937936 144576360 149931040 168672420 192768480 202406904 224896560 253008630 269875872 289152720 337344840 404813808 449793120 506017260 578305440 674689680 809627616 1012034520 1349379360 2024069040 4048138080
- Sum of all divisors σ(n): 16286054400
- Sum of proper divisors (its aliquot sum) s(n): 12237916320
- 4048138080 is an abundant number, because the sum of its proper divisors (12237916320) is greater than itself. Its abundance is 8189778240
Bases of 4048138080
- Binary: 111100010100100110101111011000002
- Hexadecimal: 0xF149AF60
- Base-36: 1UY5NC0
Squares and roots of 4048138080
- 4048138080 squared (40481380802) is 16387421914746086400
- 4048138080 cubed (40481380803) is 66338546686110145886810112000
-
The
square root of 4048138080 is 63624.9799999967 -
The
cube root of 4048138080 is 1593.7435465483
Scales and comparisons
How big is 4048138080?- 4,048,138,080 seconds is equal to 128 years, 37 weeks, 2 days, 10 hours, 48 minutes.
-
To count from 1 to 4,048,138,080 would take you about two hundred fifty-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 4048138080 cubic inches would be around 132.8 feet tall.
Recreational maths with 4048138080
- 4048138080 backwards is 0808318404
- 4048138080 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 4048138080's digits is 36
- More coming soon!
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