138285327000
138,285,327,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138285327000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
138285327000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138285327000:
23 × 3 × 53 × 17 × 31 × 47 × 1861
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 31 × 47 × 1861)See below for interesting mathematical facts about the number 138285327000 from the Numbermatics database.
Names of 138285327000
- Cardinal: 138285327000 can be written as One hundred thirty-eight billion, two hundred eighty-five million, three hundred twenty-seven thousand.
Scientific notation
- Scientific notation: 1.38285327 × 1011
Factors of 138285327000
Divisors of 138285327000
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 31 34 40 47 50 51 60 62 68 75 85 93 94 100 102 120 124 125 136 141 150 155 170 186 188 200 204 235 248 250 255 282 300 310 340 372 375 376 408 425 465 470 500 510 527 564 600 620 680 705 744 750 775 799 850 930 940 1000 1020 1054 1128 1175 1240 1275 1410 1457 1500 1550 1581 1598 1700 1860 1861 1880 2040 2108 2125 2325 2350 2397 2550 2635 2820 2914 3000 3100 3162 3196 3400 3525 3720 3722 3875 3995 4216 4250 4371 4650 4700 4794 5100 5270 5583 5640 5828 5875 6200 6324 6375 6392 7050 7285 7444 7750 7905 7990 8500 8742 9300 9305 9400 9588 10200 10540 11166 11625 11656 11750 11985 12648 12750 13175 14100 14570 14888 15500 15810 15980 17000 17484 17625 18600 18610 19176 19975 21080 21855 22332 23250 23500 23970 24769 25500 26350 27915 28200 29140 31000 31620 31637 31960 34968 35250 36425 37220 39525 39950 43710 44664 46500 46525 47000 47940 49538 51000 52700 55830 57691 58280 59925 63240 63274 65875 70500 72850 74307 74440 79050 79900 87420 87467 93000 93050 94911 95880 99076 99875 105400 109275 111660 115382 119850 123845 126548 131750 139575 141000 145700 148614 158100 158185 159800 173073 174840 174934 182125 186100 189822 197625 198152 199750 218550 223320 230764 232625 239700 247690 253096 262401 263500 279150 288455 291400 297228 299625 316200 316370 346146 349868 364250 371535 372200 379644 395250 399500 437100 437335 461528 465250 474555 479400 495380 524802 527000 546375 558300 576910 594456 599250 619225 632740 692292 697875 699736 728500 743070 759288 790500 790925 799000 865365 874200 874670 930500 949110 980747 990760 1049604 1092750 1116600 1153820 1198500 1238450 1265480 1312005 1384584 1395750 1442275 1457000 1486140 1486939 1581000 1581850 1730730 1749340 1857675 1861000 1898220 1961494 2099208 2185500 2186675 2307640 2372775 2397000 2476900 2624010 2711477 2791500 2884550 2942241 2972280 2973878 3096125 3163700 3461460 3498680 3715350 3796440 3922988 3954625 4326825 4371000 4373350 4460817 4745550 4903735 4953800 5248020 5422954 5583000 5769100 5884482 5947756 6192250 6327400 6560025 6922920 7211375 7430700 7434695 7845976 7909250 8134431 8653650 8746700 8921634 9288375 9491100 9807470 10496040 10845908 10933375 11538200 11768964 11863875 11895512 12384500 13120050 13557385 14422750 14711205 14861400 14869390 15818500 16268862 17307300 17493400 17843268 18576750 18982200 19614940 21634125 21691816 21866750 22304085 23537928 23727750 24518675 24769000 26240100 27114770 28845500 29422410 29738780 31637000 32537724 32800125 34614600 35686536 37153500 37173475 39229880 40672155 43268250 43733500 44608170 46095109 47455500 49037350 52480200 54229540 57691000 58844820 59477560 65075448 65600250 67786925 73556025 74307000 74346950 81344310 86536500 87467000 89216340 92190218 94911000 98074700 108459080 111520425 117689640 122593375 131200500 135573850 138285327 147112050 148693900 162688620 173073000 178432680 184380436 185867375 196149400 203360775 223040850 230475545 245186750 262401000 271147700 276570654 294224100 297387800 325377240 338934625 367780125 368760872 371734750 406721550 446081700 460951090 490373500 542295400 553141308 557602125 588448200 677869250 691426635 735560250 743469500 813443100 892163400 921902180 980747000 1016803875 1106282616 1115204250 1152377725 1355738500 1382853270 1471120500 1486939000 1626886200 1843804360 2033607750 2230408500 2304755450 2711477000 2765706540 2942241000 3457133175 4067215500 4460817000 4609510900 5531413080 5761888625 6914266350 8134431000 9219021800 11523777250 13828532700 17285665875 23047554500 27657065400 34571331750 46095109000 69142663500 138285327000
- Sum of all divisors σ(n): 481858191360
- Sum of proper divisors (its aliquot sum) s(n): 343572864360
- 138285327000 is an abundant number, because the sum of its proper divisors (343572864360) is greater than itself. Its abundance is 205287537360
Bases of 138285327000
- Binary: 100000001100100111001010100010100110002
- Hexadecimal: 0x203272A298
- Base-36: 1RIZIH7C
Squares and roots of 138285327000
- 138285327000 squared (1382853270002) is 19122831663496929000000
- 138285327000 cubed (1382853270003) is 2644407029752626790260783000000000
-
The
square root of 138285327000 is 371867.3513499135 -
The
cube root of 138285327000 is 5171.2083219909
Scales and comparisons
How big is 138285327000?- 138,285,327,000 seconds is equal to 4,397 years, 2 weeks, 2 days, 14 hours, 50 minutes.
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To count from 1 to 138,285,327,000 would take you about eight thousand, seven hundred ninety-four 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 138285327000 cubic inches would be around 430.9 feet tall.
Recreational maths with 138285327000
- 138285327000 backwards is 000723582831
- The number of decimal digits it has is: 12
- The sum of 138285327000's digits is 39
- More coming soon!
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