138921626800
138,921,626,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138921626800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138921626800 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 138921626800:
24 × 52 × 11 × 17 × 31 × 181 × 331
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 31 × 181 × 331)See below for interesting mathematical facts about the number 138921626800 from the Numbermatics database.
Names of 138921626800
- Cardinal: 138921626800 can be written as One hundred thirty-eight billion, nine hundred twenty-one million, six hundred twenty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389216268 × 1011
Factors of 138921626800
Divisors of 138921626800
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 31 34 40 44 50 55 62 68 80 85 88 100 110 124 136 155 170 176 181 187 200 220 248 272 275 310 331 340 341 362 374 400 425 440 496 527 550 620 662 680 682 724 748 775 850 880 905 935 1054 1100 1240 1324 1360 1364 1448 1496 1550 1655 1700 1705 1810 1870 1991 2108 2200 2480 2635 2648 2728 2896 2992 3077 3100 3310 3400 3410 3620 3641 3740 3982 4216 4400 4525 4675 5270 5296 5456 5611 5627 5797 6154 6200 6620 6800 6820 7240 7282 7480 7964 8275 8432 8525 9050 9350 9955 10261 10540 11222 11254 11594 12308 12400 13175 13240 13640 14480 14564 14960 15385 15928 16550 17050 18100 18205 18700 19910 20522 21080 22444 22508 23188 24616 26350 26480 27280 28055 28135 28985 29128 30770 31856 33100 33847 34100 36200 36410 37400 39820 41044 42160 44888 45016 46376 49232 49775 51305 52700 56110 56270 57970 58256 59911 61540 61721 61897 66200 67694 68200 72400 72820 74800 76925 79640 82088 89776 90032 91025 92752 95387 99550 102610 105400 112220 112540 112871 115940 119822 123080 123442 123794 132400 135388 136400 140275 140675 144925 145640 153850 159280 164176 169235 174437 182050 190774 199100 205220 210800 224440 225080 225742 231880 239644 246160 246884 247588 256525 270776 280550 281350 289850 291280 299555 307700 308605 309485 338470 348874 364100 381548 398200 410440 448880 450160 451484 463760 476935 479288 493768 495176 513050 541552 561100 562700 564355 579700 599110 615400 617210 618970 659021 676940 697748 728200 763096 796400 820880 846175 872185 902968 953870 958576 987536 990352 1018487 1026100 1049257 1122200 1125400 1128710 1159400 1198220 1230800 1234420 1237940 1318042 1353880 1395496 1456400 1497775 1526192 1543025 1547425 1692350 1744370 1805936 1857241 1907740 1918807 2036974 2052200 2098514 2244400 2250800 2257420 2318800 2384675 2396440 2468840 2475880 2636084 2707760 2790992 2821775 2995550 3086050 3094850 3295105 3384700 3488740 3714482 3815480 3837614 4073948 4104400 4197028 4360925 4514840 4769350 4792880 4937680 4951760 5092435 5246285 5272168 5643550 5991100 6172100 6189700 6590210 6769400 6977480 7428964 7630960 7675228 8147896 8394056 8721850 9029680 9286205 9538700 9594035 10184870 10492570 10544336 11203357 11287100 11982200 12344200 12379400 13180420 13538800 13954960 14857928 15350456 16295792 16475525 16788112 17443700 18572410 19077400 19188070 20369740 20429651 20985140 22406714 22574200 23964400 24688400 24758800 25462175 26231425 26360840 29715856 30700912 31573097 32951050 34887400 37144820 38154800 38376140 40739480 40859302 41970280 44813428 45148400 46431025 47970175 50924350 52462850 52721680 56016785 63146194 65902100 69774800 74289640 76752280 81478960 81718604 83940560 89626856 92862050 95940350 101848700 102148255 104925700 112033570 126292388 131804200 148579280 153504560 157865485 163437208 179253712 185724100 191880700 203697400 204296510 209851400 224067140 252584776 263608400 280083925 315730970 326874416 347304067 371448200 383761400 407394800 408593020 419702800 448134280 505169552 510741275 560167850 631461940 694608134 742896400 767522800 789327425 817186040 896268560 1021482550 1120335700 1262923880 1389216268 1578654850 1634372080 1736520335 2042965100 2240671400 2525847760 2778432536 3157309700 3473040670 4085930200 4481342800 5556865072 6314619400 6946081340 8171860400 8682601675 12629238800 13892162680 17365203350 27784325360 34730406700 69460813400 138921626800
- Sum of all divisors σ(n): 401362311168
- Sum of proper divisors (its aliquot sum) s(n): 262440684368
- 138921626800 is an abundant number, because the sum of its proper divisors (262440684368) is greater than itself. Its abundance is 123519057568
Bases of 138921626800
- Binary: 100000010110000101111111001100101100002
- Hexadecimal: 0x20585FCCB0
- Base-36: 1RTICL9S
Squares and roots of 138921626800
- 138921626800 squared (1389216268002) is 19299218392758478240000
- 138921626800 cubed (1389216268003) is 2681078815090489136593200832000000
-
The
square root of 138921626800 is 372721.9161788049 -
The
cube root of 138921626800 is 5179.1277084967
Scales and comparisons
How big is 138921626800?- 138,921,626,800 seconds is equal to 4,417 years, 14 weeks, 3 days, 4 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,921,626,800 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 138921626800 cubic inches would be around 431.6 feet tall.
Recreational maths with 138921626800
- 138921626800 backwards is 008626129831
- The number of decimal digits it has is: 12
- The sum of 138921626800's digits is 46
- More coming soon!
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