137142046620975
137,142,046,620,975 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 137142046620975 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 432 divisors.
137142046620975 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137142046620975:
3 × 52 × 112 × 612 × 97 × 149 × 281
(3 × 5 × 5 × 11 × 11 × 61 × 61 × 97 × 149 × 281)See below for interesting mathematical facts about the number 137142046620975 from the Numbermatics database.
Names of 137142046620975
- Cardinal: 137142046620975 can be written as One hundred thirty-seven trillion, one hundred forty-two billion, forty-six million, six hundred twenty thousand, nine hundred seventy-five.
Scientific notation
- Scientific notation: 1.37142046620975 × 1014
Factors of 137142046620975
Divisors of 137142046620975
- Number of divisors d(n): 432
-
Complete list of divisors:
1 3 5 11 15 25 33 55 61 75 97 121 149 165 183 275 281 291 305 363 447 485 605 671 745 825 843 915 1067 1405 1455 1525 1639 1815 2013 2235 2425 3025 3091 3201 3355 3721 3725 4215 4575 4917 5335 5917 7025 7275 7381 8195 9075 9089 9273 10065 11163 11175 11737 14453 15455 16005 16775 17141 17751 18029 18605 21075 22143 24585 26675 27257 27267 29585 34001 35211 36905 40931 40975 41869 43359 45445 46365 50325 51423 54087 55815 58685 65087 72265 77275 80025 81771 85705 88755 90145 93025 99979 102003 110715 122793 122925 125607 136285 136335 147925 158983 170005 176055 184525 188551 195261 204655 209345 216795 227225 231825 257115 270435 279075 293425 299827 299937 325435 360937 361325 408855 428525 443775 450241 450725 460559 476949 499895 510015 553575 554429 565653 613965 628035 681425 681675 715957 794915 850025 880275 881633 899481 942755 976305 1023275 1045601 1046725 1082811 1083975 1099769 1285575 1350723 1352175 1381677 1499135 1499685 1627175 1662677 1663287 1748813 1804685 2044275 2074061 2147871 2251205 2302795 2384745 2499475 2550075 2554009 2644899 2772145 2828265 3069825 3136803 3140175 3298097 3299307 3579785 3970307 3974575 4061293 4408165 4497405 4713775 4881525 4988031 5066149 5228005 5246439 5414055 5498845 6098719 6222183 6753615 6908385 7495675 7498425 7662027 8313385 8316435 8744065 9023425 9697963 9894291 10370305 10739355 11256025 11501611 11513975 11910921 11923725 12183879 12770045 13224495 13860725 14141325 15198447 15684015 16490485 16496535 17898925 18289447 18296157 19851535 20306465 22040825 22487025 24940155 25330745 26140025 26232195 27070275 27494225 28094099 29093889 30493595 31110915 33768075 34504833 34541925 38310135 41566925 41582175 43673377 43720325 44674223 48489815 49471455 51851525 53696775 53779613 54868341 57508055 59554605 60919395 63850225 66122475 67085909 75992235 78420075 82452425 82482675 84282297 91447235 91480785 99257675 101423297 101532325 106677593 124700775 126517721 126653725 131020131 131160975 134022669 140470495 145469445 152467975 155554575 155794549 161338839 172524165 191550675 201183917 201257727 218366885 223371115 242449075 247357275 247738873 268898065 274341705 287540275 297773025 304269891 304596975 309035089 320032779 335429545 379553163 379961175 421411485 457236175 457403925 467383647 491416453 507116485 533387965 591575743 603551751 632588605 655100655 670113345 702352475 727347225 743216619 778972745 806694195 862620825 927105267 1005919585 1006288635 1091834425 1115656267 1116855575 1238694365 1344490325 1371708525 1474249359 1521349455 1545175445 1600163895 1677147725 1713740039 1774727229 1897765815 2107057425 2336918235 2457082265 2535582425 2666939825 2725127603 2957878715 3017758755 3162943025 3275503275 3346968801 3350566725 3716083095 3894863725 4033470975 4635526335 5029597925 5031443175 5141220117 5578281335 6193471825 6507333173 7371246795 7606747275 7725877225 8000819475 8175382809 8568700195 8873636145 9488829075 11684591175 12272218937 12285411325 13625638015 14789393575 15088793775 15112071253 16734844005 18580415475 18851140429 19521999519 23177631675 25706100585 27891406675 29976403633 32536665865 36816656811 36856233975 40876914045 42843500975 44368180725 45336213759 56553421287 61361094685 68128190075 75560356265 83674220025 89929210899 94255702145 97609997595 128530502925 149882018165 162683329325 166232783783 184083284055 204384570225 226681068795 282767106435 306805473425 377801781325 449646054495 471278510725 488049987975 498698351349 749410090825 831163918915 920416420275 1133405343975 1413835532175 1828560621613 2248230272475 2493491756745 4155819594575 5485681864839 9142803108065 12467458783725 27428409324195 45714015540325 137142046620975
- Sum of all divisors σ(n): 258628338914400
- Sum of proper divisors (its aliquot sum) s(n): 121486292293425
- 137142046620975 is a deficient number, because the sum of its proper divisors (121486292293425) is less than itself. Its deficiency is 15655754327550
Bases of 137142046620975
- Binary: 111110010111010110111101111100011111101001011112
- Hexadecimal: 0x7CBADEF8FD2F
- Base-36: 1CM26PNLF3
Squares and roots of 137142046620975
- 137142046620975 squared (1371420466209752) is 18807940951389680415309950625
- 137142046620975 cubed (1371420466209753) is 2579359514800028447730943148768575339359375
-
The
square root of 137142046620975 is 11710766.2695903465 -
The
cube root of 137142046620975 is 51569.1779829389
Scales and comparisons
How big is 137142046620975?- 137,142,046,620,975 seconds is equal to 4,360,692 years, 45 weeks, 3 days, 6 hours, 16 minutes, 15 seconds.
-
To count from 1 to 137,142,046,620,975 would take you about ten million, nine hundred one thousand, seven hundred thirty-two 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 137142046620975 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137142046620975
- 137142046620975 backwards is 579026640241731
- The number of decimal digits it has is: 15
- The sum of 137142046620975's digits is 57
- More coming soon!
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