137354242420224
137,354,242,420,224 is an even composite number composed of six prime numbers multiplied together.
What does the number 137354242420224 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2520 divisors.
137354242420224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 137354242420224:
29 × 36 × 192 × 232 × 41 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 23 × 23 × 41 × 47)See below for interesting mathematical facts about the number 137354242420224 from the Numbermatics database.
Names of 137354242420224
- Cardinal: 137354242420224 can be written as One hundred thirty-seven trillion, three hundred fifty-four billion, two hundred forty-two million, four hundred twenty thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.37354242420224 × 1014
Factors of 137354242420224
Divisors of 137354242420224
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 27 32 36 38 41 46 47 48 54 57 64 69 72 76 81 82 92 94 96 108 114 123 128 138 141 144 152 162 164 171 184 188 192 207 216 228 243 246 256 276 282 288 304 324 328 342 361 368 369 376 384 414 423 432 437 456 486 492 512 513 529 552 564 576 608 621 648 656 684 722 729 736 738 752 768 779 828 846 864 874 893 912 943 972 984 1026 1058 1081 1083 1104 1107 1128 1152 1216 1242 1269 1296 1311 1312 1368 1444 1458 1472 1476 1504 1536 1539 1558 1587 1656 1692 1728 1748 1786 1824 1863 1886 1927 1944 1968 2052 2116 2162 2166 2208 2214 2256 2304 2337 2432 2484 2538 2592 2622 2624 2679 2736 2829 2888 2916 2944 2952 3008 3078 3116 3174 3243 3249 3312 3321 3384 3456 3496 3572 3648 3726 3772 3807 3854 3888 3933 3936 4104 4232 4324 4332 4416 4428 4512 4608 4617 4674 4761 4864 4968 5076 5184 5244 5248 5358 5472 5589 5658 5776 5781 5832 5888 5904 6016 6156 6232 6348 6486 6498 6624 6642 6768 6912 6992 7011 7144 7296 7452 7544 7614 7708 7776 7866 7872 8037 8208 8303 8464 8487 8648 8664 8832 8856 9024 9234 9348 9522 9728 9729 9747 9936 9963 10051 10152 10368 10488 10496 10716 10944 11178 11316 11421 11552 11562 11664 11776 11799 11808 12032 12312 12464 12696 12972 12996 13248 13284 13536 13824 13851 13984 14022 14283 14288 14592 14801 14904 15088 15228 15416 15552 15732 15744 16074 16416 16606 16767 16928 16967 16974 17296 17328 17343 17664 17712 17917 18048 18468 18696 19044 19458 19494 19872 19926 20102 20304 20539 20736 20976 20992 21033 21432 21689 21888 22356 22632 22842 23104 23124 23328 23598 23616 24064 24111 24624 24863 24909 24928 25392 25461 25944 25992 26496 26568 27072 27702 27968 28044 28566 28576 29184 29187 29241 29602 29808 29889 30153 30176 30456 30832 31104 31464 31488 32148 32832 33212 33534 33856 33934 33948 34263 34592 34656 34686 35328 35397 35424 35834 36096 36613 36936 37392 38088 38916 38988 39744 39852 40204 40608 41078 41472 41952 42066 42849 42864 43378 43776 44321 44403 44712 45264 45684 46208 46248 46656 47196 47232 48222 49248 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86549617152 88160617728 89249020416 89423334909 91325959056 93058429824 93311305992 94207299328 95120666496 100405147968 104690733552 104770589184 105983211744 108238173696 110591177472 112955791464 119231113212 121767945408 124077906432 124415074656 126827555328 127062203904 129824425728 133873530624 139587644736 141310948992 145656672768 150607721952 153812141568 157155883776 158974817616 162357260544 165886766208 176321235456 178846669818 182651918112 186116859648 186622611984 188414598656 190241332992 200810295936 209381467104 211966423488 221182354944 225911582928 238462226424 243535890816 248830149312 259648851456 267747061248 268270004727 279175289472 282621897984 301215443904 314311767552 317949635232 324714521088 331773532416 357693339636 365303836224 372233719296 373245223968 380482665984 401620591872 418762934208 423932846976 451823165856 476924452848 487071781632 497660298624 536540009454 558350578944 565243795968 602430887808 635899270464 663547064832 715386679272 730607672448 746490447936 803241183744 837525868416 847865693952 903646331712 953848905696 974143563264 995320597248 1073080018908 1116701157888 1204861775616 1271798540928 1430773358544 1461215344896 1492980895872 1675051736832 1695731387904 1807292663424 1907697811392 1990641194496 2146160037816 2409723551232 2543597081856 2861546717088 2922430689792 2985961791744 3350103473664 3614585326848 3815395622784 4292320075632 5087194163712 5723093434176 5971923583488 7229170653696 7630791245568 8584640151264 11446186868352 15261582491136 17169280302528 22892373736704 34338560605056 45784747473408 68677121210112 137354242420224
- Sum of all divisors σ(n): 474937465619232
- Sum of proper divisors (its aliquot sum) s(n): 337583223199008
- 137354242420224 is an abundant number, because the sum of its proper divisors (337583223199008) is greater than itself. Its abundance is 200228980778784
Bases of 137354242420224
- Binary: 111110011101100010001101101001111101110000000002
- Hexadecimal: 0x7CEC46D3EE00
- Base-36: 1CORO1K000
Squares and roots of 137354242420224
- 137354242420224 squared (1373542424202242) is 18866187910833662157004210176
- 137354242420224 cubed (1373542424202243) is 2591350947850146202301563125798103808999424
-
The
square root of 137354242420224 is 11719822.6275069539 -
The
cube root of 137354242420224 is 51595.7614275035
Scales and comparisons
How big is 137354242420224?- 137,354,242,420,224 seconds is equal to 4,367,440 years, 2 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,354,242,420,224 would take you about ten million, nine hundred eighteen thousand, six hundred 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 137354242420224 cubic inches would be around 4299.6 feet tall.
Recreational maths with 137354242420224
- 137354242420224 backwards is 422024242453731
- The number of decimal digits it has is: 15
- The sum of 137354242420224's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 137354242420224 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 137354242420224 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137354242420224/
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The information we have on file for 137354242420224 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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