137529950208
137,529,950,208 is an even composite number composed of six prime numbers multiplied together.
What does the number 137529950208 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 512 divisors.
137529950208 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 137529950208:
215 × 3 × 7 × 19 × 67 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 67 × 157)See below for interesting mathematical facts about the number 137529950208 from the Numbermatics database.
Names of 137529950208
- Cardinal: 137529950208 can be written as One hundred thirty-seven billion, five hundred twenty-nine million, nine hundred fifty thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.37529950208 × 1011
Factors of 137529950208
Divisors of 137529950208
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 67 76 84 96 112 114 128 133 134 152 157 168 192 201 224 228 256 266 268 304 314 336 384 399 402 448 456 469 471 512 532 536 608 628 672 768 798 804 896 912 938 942 1024 1064 1072 1099 1216 1256 1273 1344 1407 1536 1596 1608 1792 1824 1876 1884 2048 2128 2144 2198 2432 2512 2546 2688 2814 2983 3072 3192 3216 3297 3584 3648 3752 3768 3819 4096 4256 4288 4396 4864 5024 5092 5376 5628 5966 6144 6384 6432 6594 7168 7296 7504 7536 7638 8192 8512 8576 8792 8911 8949 9728 10048 10184 10519 10752 11256 11932 12288 12768 12864 13188 14336 14592 15008 15072 15276 16384 17024 17152 17584 17822 17898 19456 20096 20368 20881 21038 21504 22512 23864 24576 25536 25728 26376 26733 28672 29184 30016 30144 30552 31557 32768 34048 34304 35168 35644 35796 38912 40192 40736 41762 42076 43008 45024 47728 49152 51072 51456 52752 53466 57344 58368 60032 60288 61104 62643 63114 68096 68608 70336 71288 71592 73633 77824 80384 81472 83524 84152 86016 90048 95456 98304 102144 102912 105504 106932 114688 116736 120064 120576 122208 125286 126228 136192 137216 140672 142576 143184 147266 155648 160768 162944 167048 168304 172032 180096 190912 199861 204288 205824 211008 213864 220899 229376 233472 240128 241152 244416 250572 252456 272384 274432 281344 285152 286368 294532 311296 321536 325888 334096 336608 344064 360192 381824 399722 408576 411648 422016 427728 441798 466944 480256 482304 488832 501144 504912 544768 548864 562688 570304 572736 589064 599583 622592 643072 651776 668192 673216 688128 720384 763648 799444 817152 823296 844032 855456 883596 933888 960512 964608 977664 1002288 1009824 1089536 1097728 1125376 1140608 1145472 1178128 1199166 1286144 1303552 1336384 1346432 1399027 1440768 1527296 1598888 1634304 1646592 1688064 1710912 1767192 1867776 1921024 1929216 1955328 2004576 2019648 2179072 2195456 2250752 2281216 2290944 2356256 2398332 2572288 2607104 2672768 2692864 2798054 2881536 3054592 3197776 3268608 3293184 3376128 3421824 3534384 3842048 3858432 3910656 4009152 4039296 4197081 4358144 4501504 4562432 4581888 4712512 4796664 5144576 5214208 5345536 5385728 5596108 5763072 6109184 6395552 6537216 6586368 6752256 6843648 7068768 7684096 7716864 7821312 8018304 8078592 8394162 9003008 9124864 9163776 9425024 9593328 10428416 10691072 10771456 11192216 11526144 12218368 12791104 13074432 13504512 13687296 14137536 15368192 15433728 15642624 16036608 16157184 16788324 18006016 18249728 18327552 18850048 19186656 20856832 21382144 21542912 22384432 23052288 24436736 25582208 27009024 27374592 28275072 31285248 32073216 32314368 33576648 36012032 36499456 36655104 37700096 38373312 41713664 42764288 43085824 44768864 46104576 48873472 51164416 54018048 54749184 56550144 62570496 64146432 64628736 67153296 72998912 73310208 75400192 76746624 85528576 86171648 89537728 97746944 102328832 108036096 109498368 113100288 125140992 128292864 129257472 134306592 145997824 146620416 150800384 153493248 171057152 172343296 179075456 204657664 218996736 226200576 256585728 258514944 268613184 291995648 293240832 301600768 306986496 342114304 344686592 358150912 409315328 437993472 452401152 513171456 517029888 537226368 603201536 613972992 684228608 716301824 818630656 875986944 904802304 1026342912 1034059776 1074452736 1206403072 1227945984 1432603648 1637261312 1809604608 2052685824 2148905472 2412806144 2455891968 2865207296 3274522624 3619209216 4297810944 4911783936 5730414592 6549045248 7238418432 8595621888 9823567872 11460829184 17191243776 19647135744 22921658368 34382487552 45843316736 68764975104 137529950208
- Sum of all divisors σ(n): 450629145600
- Sum of proper divisors (its aliquot sum) s(n): 313099195392
- 137529950208 is an abundant number, because the sum of its proper divisors (313099195392) is greater than itself. Its abundance is 175569245184
Bases of 137529950208
- Binary: 100000000001010110110010000000000000002
- Hexadecimal: 0x20056C8000
- Base-36: 1R6HS4QO
Squares and roots of 137529950208
- 137529950208 squared (1375299502082) is 18914487204214959243264
- 137529950208 cubed (1375299502083) is 2601308483405536472454847279398912
-
The
square root of 137529950208 is 370850.3070080973 -
The
cube root of 137529950208 is 5161.7753016415
Scales and comparisons
How big is 137529950208?- 137,529,950,208 seconds is equal to 4,373 years, 1 week, 2 days, 19 hours, 56 minutes, 48 seconds.
-
To count from 1 to 137,529,950,208 would take you about eight thousand, seven hundred forty-six 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 137529950208 cubic inches would be around 430.1 feet tall.
Recreational maths with 137529950208
- 137529950208 backwards is 802059925731
- The number of decimal digits it has is: 12
- The sum of 137529950208's digits is 51
- More coming soon!
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