138920064400
138,920,064,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138920064400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138920064400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138920064400:
24 × 52 × 13 × 23 × 31 × 89 × 421
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 31 × 89 × 421)See below for interesting mathematical facts about the number 138920064400 from the Numbermatics database.
Names of 138920064400
- Cardinal: 138920064400 can be written as One hundred thirty-eight billion, nine hundred twenty million, sixty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.389200644 × 1011
Factors of 138920064400
Divisors of 138920064400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 31 40 46 50 52 62 65 80 89 92 100 104 115 124 130 155 178 184 200 208 230 248 260 299 310 325 356 368 400 403 421 445 460 496 520 575 598 620 650 712 713 775 806 842 890 920 1040 1150 1157 1196 1240 1300 1424 1426 1495 1550 1612 1684 1780 1840 2015 2047 2105 2225 2300 2314 2392 2480 2600 2759 2852 2990 3100 3224 3368 3560 3565 4030 4094 4210 4450 4600 4628 4784 5200 5473 5518 5704 5785 5980 6200 6448 6736 7120 7130 7475 8060 8188 8420 8900 9200 9256 9269 9683 10075 10235 10525 10946 11036 11408 11570 11960 12400 13051 13795 14260 14950 16120 16376 16840 17800 17825 18512 18538 19366 20150 20470 21050 21892 22072 23140 23920 26102 26611 27365 27590 28520 28925 29900 32240 32752 33680 35600 35650 35867 37076 37469 38732 40300 40940 42100 43784 44144 46280 46345 48415 51175 52204 53222 54730 55180 57040 57850 59800 63457 65255 68975 71300 71734 74152 74938 77464 80600 81880 84200 87568 92560 92690 96830 102350 104408 106444 109460 110360 115700 119600 125879 126914 130510 133055 136825 137950 142600 143468 148304 149876 154928 161200 163760 168400 169663 179335 185380 187345 193660 204700 208816 212888 218920 220720 231400 231725 242075 251758 253828 261020 266110 273650 275900 285200 286936 299752 300173 317285 326275 339326 358670 370760 374690 387320 409400 425776 437840 462800 463450 484150 487097 503516 507656 522040 532220 547300 551800 573872 599504 600346 629395 634570 652550 665275 678652 717340 741520 749380 774640 818800 824941 848315 861787 896675 926900 936725 968300 974194 1007032 1015312 1044080 1064440 1094600 1103600 1161539 1200692 1258790 1269140 1305100 1330550 1357304 1434680 1498760 1500865 1586425 1649882 1696630 1723574 1793350 1853800 1873450 1936600 1948388 2014064 2128880 2189200 2323078 2401384 2435485 2517580 2538280 2610200 2661100 2714608 2869360 2997520 3001730 3146975 3172850 3299764 3393260 3447148 3586700 3707600 3746900 3873200 3896776 3902249 4124705 4241575 4308935 4646156 4802768 4870970 5035160 5076560 5220400 5322200 5807695 6003460 6293950 6345700 6599528 6786520 6894296 7173400 7493800 7504325 7793552 7804498 8249410 8483150 8617870 9292312 9741940 10070320 10644400 11203231 11615390 12006920 12177425 12587900 12691400 13199056 13573040 13788592 14346800 14987600 15008650 15100007 15608996 16498820 16966300 17235740 18584624 19483880 19511245 20623525 21544675 22406462 23230780 24013840 24354850 25175800 25382800 26715397 29038475 30017300 30200014 31217992 32997640 33932600 34471480 38967760 39022490 41247050 43089350 44812924 46461560 48709700 50351600 53430794 56016155 58076950 60034600 60400028 62435984 65995280 67865200 68942960 75500035 78044980 82494100 86178700 89625848 92923120 97419400 97556225 106861588 112032310 116153900 120069200 120800056 133576985 151000070 156089960 164988200 172357400 179251696 194838800 195112450 213723176 224064620 232307800 241600112 267153970 280080775 302000140 312179920 329976400 344714800 347300161 377500175 390224900 427446352 448129240 464615600 534307940 560161550 604000280 667884925 694600322 755000350 780449800 896258480 1068615880 1120323100 1208000560 1335769850 1389200644 1510000700 1560899600 1736500805 2137231760 2240646200 2671539700 2778401288 3020001400 3473001610 4481292400 5343079400 5556802576 6040002800 6946003220 8682504025 10686158800 13892006440 17365008050 27784012880 34730016100 69460032200 138920064400
- Sum of all divisors σ(n): 392434882560
- Sum of proper divisors (its aliquot sum) s(n): 253514818160
- 138920064400 is an abundant number, because the sum of its proper divisors (253514818160) is greater than itself. Its abundance is 114594753760
Bases of 138920064400
- Binary: 100000010110000100011111110101100100002
- Hexadecimal: 0x205847F590
- Base-36: 1RTHF3PS
Squares and roots of 138920064400
- 138920064400 squared (1389200644002) is 19298784292900147360000
- 138920064400 cubed (1389200644003) is 2680988356811396934020689984000000
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The
square root of 138920064400 is 372719.8202403515 -
The
cube root of 138920064400 is 5179.1082925145
Scales and comparisons
How big is 138920064400?- 138,920,064,400 seconds is equal to 4,417 years, 11 weeks, 6 days, 2 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,920,064,400 would take you about eight thousand, eight hundred thirty-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 138920064400 cubic inches would be around 431.6 feet tall.
Recreational maths with 138920064400
- 138920064400 backwards is 004460029831
- The number of decimal digits it has is: 12
- The sum of 138920064400's digits is 37
- More coming soon!
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