137297971871872
137,297,971,871,872 is an even composite number composed of six prime numbers multiplied together.
137297971871872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137297971871872:
27 × 7 × 19 × 292 × 1861 × 5153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 19 × 29 × 29 × 1861 × 5153)See below for interesting mathematical facts about the number 137297971871872 from the Numbermatics database.
Names of 137297971871872
- Cardinal: 137297971871872 can be written as One hundred thirty-seven trillion, two hundred ninety-seven billion, nine hundred seventy-one million, eight hundred seventy-one thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.37297971871872 × 1014
Factors of 137297971871872
Divisors of 137297971871872
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 29 32 38 56 58 64 76 112 116 128 133 152 203 224 232 266 304 406 448 464 532 551 608 812 841 896 928 1064 1102 1216 1624 1682 1856 1861 2128 2204 2432 3248 3364 3712 3722 3857 4256 4408 5153 5887 6496 6728 7444 7714 8512 8816 10306 11774 12992 13027 13456 14888 15428 15979 17024 17632 20612 23548 25984 26054 26912 29776 30856 31958 35264 35359 36071 41224 47096 52108 53824 53969 59552 61712 63916 70528 70718 72142 82448 94192 97907 104216 107648 107938 111853 119104 123424 127832 141436 144284 149437 164896 188384 195814 208432 215876 223706 238208 246848 247513 255664 282872 288568 298874 329792 376768 377783 391628 416864 431752 447412 493696 495026 511328 565744 577136 597748 659584 685349 753536 755566 783256 833728 863504 894824 990052 1022656 1025411 1046059 1131488 1154272 1195496 1370698 1511132 1565101 1566512 1667456 1727008 1789648 1980104 2045312 2050822 2092118 2262976 2308544 2390992 2741396 2839303 3022264 3130202 3133024 3454016 3579296 3960208 4101644 4184236 4333673 4525952 4617088 4781984 5482792 5678606 6044528 6260404 6266048 6908032 7158592 7177877 7920416 8203288 8368472 8667346 9563968 9589733 10955707 10965584 11357212 12089056 12520808 12532096 14317184 14355754 15840832 16406576 16736944 17334692 19127936 19179466 19875121 21911414 21931168 22714424 24178112 25041616 28711508 29736919 30335711 31681664 32813152 33473888 34669384 38358932 39750242 43822828 43862336 45428848 48356224 50083232 57423016 59473838 60671422 65626304 66947776 67128131 69338768 76717864 79500484 82339787 87645656 87724672 90857696 100166464 114846032 118947676 121342844 131252608 133895552 134256262 138677536 153435728 159000968 164679574 175291312 181715392 182204927 200332928 208158433 229692064 237895352 242685688 268512524 277355072 278102257 306871456 318001936 329359148 350582624 363430784 364409854 416316866 459384128 475790704 485371376 537025048 554710144 556204514 576378509 613742912 636003872 658718296 701165248 728819708 832633732 918768256 951581408 970742752 1074050096 1112409028 1152757018 1227485824 1272007744 1275434489 1317436592 1402330496 1457639416 1665267464 1903162816 1941485504 1946715799 2148100192 2224818056 2305514036 2544015488 2550868978 2634873184 2915278832 3330534928 3806325632 3882971008 3893431598 4296200384 4449636112 4611028072 5101737956 5269746368 5283942883 5830557664 6661069856 7786863196 8064965453 8592400768 8899272224 9222056144 10203475912 10539492736 10567885766 11661115328 13322139712 15573726392 16129930906 17798544448 18444112288 20406951824 21135771532 23322230656 26644279424 31147452784 32259861812 35597088896 36888224576 36987600181 40813903648 42271543064 56454758171 62294905568 64519723624 73776449152 73975200362 81627807296 84543086128 112909516342 124589811136 129039447248 147950400724 153234343607 163255614592 169086172256 225819032684 249179622272 258078894496 295900801448 306468687214 338172344512 451638065368 516157788992 591801602896 612937374428 676344689024 903276130736 1032315577984 1072640405249 1183603205792 1225874748856 1806552261472 2145280810498 2367206411584 2451749497712 3613104522944 4290561620996 4734412823168 4903498995424 7226209045888 8581123241992 9806997990848 17162246483984 19613995981696 34324492967968 68648985935936 137297971871872
- Sum of all divisors σ(n): 341037714326400
- Sum of proper divisors (its aliquot sum) s(n): 203739742454528
- 137297971871872 is an abundant number, because the sum of its proper divisors (203739742454528) is greater than itself. Its abundance is 66441770582656
Bases of 137297971871872
- Binary: 111110011011111001011001101011110000000100000002
- Hexadecimal: 0x7CDF2CD78080
- Base-36: 1CO1TFIV0G
Squares and roots of 137297971871872
- 137297971871872 squared (1372979718718722) is 18850733080129354903584784384
- 137297971871872 cubed (1372979718718723) is 2588167420199767197839632440893957994446848
-
The
square root of 137297971871872 is 11717421.7245890745 -
The
cube root of 137297971871872 is 51588.7146403065
Scales and comparisons
How big is 137297971871872?- 137,297,971,871,872 seconds is equal to 4,365,650 years, 42 weeks, 2 days, 15 hours, 57 minutes, 52 seconds.
-
To count from 1 to 137,297,971,871,872 would take you about ten million, nine hundred fourteen thousand, one hundred twenty-seven 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 137297971871872 cubic inches would be around 4299.1 feet tall.
Recreational maths with 137297971871872
- 137297971871872 backwards is 278178179792731
- The number of decimal digits it has is: 15
- The sum of 137297971871872's digits is 79
- More coming soon!
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