131438974670640
131,438,974,670,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 131438974670640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
131438974670640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 131438974670640:
24 × 32 × 5 × 7 × 13 × 2006089357
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 2006089357)See below for interesting mathematical facts about the number 131438974670640 from the Numbermatics database.
Names of 131438974670640
- Cardinal: 131438974670640 can be written as One hundred thirty-one trillion, four hundred thirty-eight billion, nine hundred seventy-four million, six hundred seventy thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3143897467064 × 1014
Factors of 131438974670640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 2006089387
Divisors of 131438974670640
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 104 105 112 117 120 126 130 140 144 156 168 180 182 195 208 210 234 240 252 260 273 280 312 315 336 360 364 390 420 455 468 504 520 546 560 585 624 630 720 728 780 819 840 910 936 1008 1040 1092 1170 1260 1365 1456 1560 1638 1680 1820 1872 2184 2340 2520 2730 3120 3276 3640 4095 4368 4680 5040 5460 6552 7280 8190 9360 10920 13104 16380 21840 32760 65520 2006089357 4012178714 6018268071 8024357428 10030446785 12036536142 14042625499 16048714856 18054804213 20060893570 24073072284 26079161641 28085250998 30091340355 32097429712 36109608426 40121787140 42127876497 48146144568 52158323282 56170501996 60182680710 70213127495 72219216852 78237484923 80243574280 84255752994 90274021065 96292289136 104316646564 112341003992 120365361420 126383629491 130395808205 140426254990 144438433704 156474969846 160487148560 168511505988 180548042130 182554131487 208633293128 210639382485 224682007984 234712454769 240730722840 252767258982 260791616410 280852509980 288876867408 312949939692 337023011976 361096084260 365108262974 391187424615 417266586256 421278764970 469424909538 481461445680 505534517964 521583232820 547662394461 561705019960 625899879384 631918147455 674046023952 722192168520 730216525948 782374849230 842557529940 912770657435 938849819076 1011069035928 1043166465640 1095324788922 1123410039920 1173562273845 1251799758768 1263836294910 1444384337040 1460433051896 1564749698460 1642987183383 1685115059880 1825541314870 1877699638152 2022138071856 2086332931280 2190649577844 2347124547690 2527672589820 2738311972305 2920866103792 3129499396920 3285974366766 3370230119760 3651082629740 3755399276304 4381299155688 4694249095380 5055345179640 5476623944610 6258998793840 6571948733532 7302165259480 8214935916915 8762598311376 9388498190760 10110690359280 10953247889220 13143897467064 14604330518960 16429871833830 18776996381520 21906495778440 26287794934128 32859743667660 43812991556880 65719487335320 131438974670640
- Sum of all divisors σ(n): 543281095576128
- Sum of proper divisors (its aliquot sum) s(n): 411842120905488
- 131438974670640 is an abundant number, because the sum of its proper divisors (411842120905488) is greater than itself. Its abundance is 280403146234848
Bases of 131438974670640
- Binary: 111011110001011000001010110010100010111001100002
- Hexadecimal: 0x778B05651730
- Base-36: 1ALA8BV580
Squares and roots of 131438974670640
- 131438974670640 squared (1314389746706402) is 17276204062469143496478009600
- 131438974670640 cubed (1314389746706403) is 2270766548171689620290148589864162758144000
-
The
square root of 131438974670640 is 11464683.8015987167 -
The
cube root of 131438974670640 is 50844.1963877485
Scales and comparisons
How big is 131438974670640?- 131,438,974,670,640 seconds is equal to 4,179,352 years, 43 weeks, 1 hour, 24 minutes.
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To count from 1 to 131,438,974,670,640 would take you about ten million, four hundred forty-eight thousand, three hundred eighty-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 131438974670640 cubic inches would be around 4237 feet tall.
Recreational maths with 131438974670640
- 131438974670640 backwards is 046076479834131
- 131438974670640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131438974670640's digits is 63
- More coming soon!
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