137970768000
137,970,768,000 is an even composite number composed of six prime numbers multiplied together.
137970768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 137970768000:
27 × 3 × 53 × 13 × 127 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 127 × 1741)See below for interesting mathematical facts about the number 137970768000 from the Numbermatics database.
Names of 137970768000
- Cardinal: 137970768000 can be written as One hundred thirty-seven billion, nine hundred seventy million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.37970768 × 1011
Factors of 137970768000
Divisors of 137970768000
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 127 128 130 150 156 160 192 195 200 208 240 250 254 260 300 312 320 325 375 381 384 390 400 416 480 500 508 520 600 624 635 640 650 750 762 780 800 832 960 975 1000 1016 1040 1200 1248 1270 1300 1500 1524 1560 1600 1625 1651 1664 1741 1905 1920 1950 2000 2032 2080 2400 2496 2540 2600 3000 3048 3120 3175 3200 3250 3302 3482 3810 3900 4000 4064 4160 4800 4875 4953 4992 5080 5200 5223 6000 6096 6240 6350 6500 6604 6964 7620 7800 8000 8128 8255 8320 8705 9525 9600 9750 9906 10160 10400 10446 12000 12192 12480 12700 13000 13208 13928 15240 15600 15875 16000 16256 16510 17410 19050 19500 19812 20320 20800 20892 22633 24000 24384 24765 24960 25400 26000 26115 26416 27856 30480 31200 31750 33020 34820 38100 39000 39624 40640 41275 41600 41784 43525 45266 47625 48000 48768 49530 50800 52000 52230 52832 55712 60960 62400 63500 66040 67899 69640 76200 78000 79248 81280 82550 83568 87050 90532 95250 99060 101600 104000 104460 105664 111424 113165 121920 123825 124800 127000 130575 132080 135798 139280 152400 156000 158496 165100 167136 174100 181064 190500 198120 203200 206375 208000 208920 211328 217625 221107 222848 226330 243840 247650 254000 261150 264160 271596 278560 304800 312000 316992 330200 334272 339495 348200 362128 381000 396240 406400 412750 417840 435250 442214 452660 495300 508000 522300 528320 543192 557120 565825 609600 619125 624000 633984 652875 660400 663321 668544 678990 696400 724256 762000 792480 825500 835680 870500 884428 905320 990600 1016000 1044600 1056640 1086384 1105535 1114240 1131650 1219200 1238250 1305750 1320800 1326642 1357980 1392800 1448512 1524000 1584960 1651000 1671360 1697475 1741000 1768856 1810640 1981200 2032000 2089200 2172768 2211070 2263300 2476500 2611500 2641600 2653284 2715960 2785600 2829125 2874391 2897024 3048000 3169920 3302000 3316605 3342720 3394950 3482000 3537712 3621280 3962400 4178400 4345536 4422140 4526600 4953000 5223000 5283200 5306568 5431920 5527675 5571200 5658250 5748782 6096000 6604000 6633210 6789900 6964000 7075424 7242560 7924800 8356800 8487375 8623173 8691072 8844280 9053200 9906000 10446000 10613136 10863840 11055350 11316500 11497564 13208000 13266420 13579800 13928000 14150848 14371955 14485120 15849600 16583025 16713600 16974750 17246346 17688560 18106400 19812000 20892000 21226272 21727680 22110700 22633000 22995128 26416000 26532840 27159600 27638375 27856000 28301696 28743910 33166050 33949500 34492692 35377120 36212800 39624000 41784000 42452544 43115865 43455360 44221400 45266000 45990256 53065680 54319200 55276750 57487820 66332100 67899000 68985384 70754240 71859775 72425600 79248000 82915125 83568000 84905088 86231730 88442800 90532000 91980512 106131360 108638400 110553500 114975640 132664200 135798000 137970768 141508480 143719550 165830250 172463460 176885600 181064000 183961024 212262720 215579325 217276800 221107000 229951280 265328400 271596000 275941536 287439100 331660500 344926920 353771200 359298875 362128000 367922048 424525440 431158650 442214000 459902560 530656800 543192000 551883072 574878200 663321000 689853840 707542400 718597750 862317300 884428000 919805120 1061313600 1077896625 1086384000 1103766144 1149756400 1326642000 1379707680 1437195500 1724634600 1768856000 1839610240 2122627200 2155793250 2299512800 2653284000 2759415360 2874391000 3449269200 3537712000 4311586500 4599025600 5306568000 5518830720 5748782000 6898538400 8623173000 9198051200 10613136000 11497564000 13797076800 17246346000 22995128000 27594153600 34492692000 45990256000 68985384000 137970768000
- Sum of all divisors σ(n): 496719175680
- Sum of proper divisors (its aliquot sum) s(n): 358748407680
- 137970768000 is an abundant number, because the sum of its proper divisors (358748407680) is greater than itself. Its abundance is 220777639680
Bases of 137970768000
- Binary: 100000000111111011001011011000100000002
- Hexadecimal: 0x201FB2D880
- Base-36: 1RDS8DXC
Squares and roots of 137970768000
- 137970768000 squared (1379707680002) is 19035932822509824000000
- 137970768000 cubed (1379707680003) is 2626402271118088104824832000000000
-
The
square root of 137970768000 is 371444.1653869395 -
The
cube root of 137970768000 is 5167.2843456235
Scales and comparisons
How big is 137970768000?- 137,970,768,000 seconds is equal to 4,387 years, 2 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 137,970,768,000 would take you about eight thousand, seven hundred seventy-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 137970768000 cubic inches would be around 430.6 feet tall.
Recreational maths with 137970768000
- 137970768000 backwards is 000867079731
- 137970768000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137970768000's digits is 48
- More coming soon!
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