137401293120
137,401,293,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137401293120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
137401293120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137401293120:
26 × 3 × 5 × 7 × 13 × 601 × 2617
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 601 × 2617)See below for interesting mathematical facts about the number 137401293120 from the Numbermatics database.
Names of 137401293120
- Cardinal: 137401293120 can be written as One hundred thirty-seven billion, four hundred one million, two hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3740129312 × 1011
Factors of 137401293120
Divisors of 137401293120
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 130 140 156 160 168 182 192 195 208 210 224 240 260 273 280 312 320 336 364 390 416 420 448 455 480 520 546 560 601 624 672 728 780 832 840 910 960 1040 1092 1120 1202 1248 1344 1365 1456 1560 1680 1803 1820 2080 2184 2240 2404 2496 2617 2730 2912 3005 3120 3360 3606 3640 4160 4207 4368 4808 5234 5460 5824 6010 6240 6720 7212 7280 7813 7851 8414 8736 9015 9616 10468 10920 12020 12480 12621 13085 14424 14560 15626 15702 16828 17472 18030 18319 19232 20936 21035 21840 23439 24040 25242 26170 28848 29120 31252 31404 33656 34021 36060 36638 38464 39065 39255 41872 42070 43680 46878 48080 50484 52340 54691 54957 57696 62504 62808 63105 67312 68042 72120 73276 78130 78510 83744 84140 87360 91595 93756 96160 100968 102063 104680 109382 109914 115392 117195 125008 125616 126210 134624 136084 144240 146552 156260 157020 164073 167488 168280 170105 183190 187512 192320 201936 204126 209360 218764 219828 234390 238147 250016 251232 252420 269248 272168 273455 274785 288480 293104 312520 314040 328146 336560 340210 366380 375024 403872 408252 418720 437528 439656 468780 476294 500032 502464 504840 510315 544336 546910 549570 576960 586208 625040 628080 656292 673120 680420 714441 732760 750048 807744 816504 820365 837440 875056 879312 937560 952588 1009680 1020630 1088672 1093820 1099140 1172416 1190735 1250080 1256160 1312584 1346240 1360840 1428882 1465520 1500096 1572817 1633008 1640730 1750112 1758624 1875120 1905176 2019360 2041260 2177344 2187640 2198280 2381470 2500160 2512320 2625168 2721680 2857764 2931040 3145634 3266016 3281460 3500224 3517248 3572205 3750240 3810352 4038720 4082520 4375280 4396560 4718451 4762940 5250336 5443360 5715528 5862080 6291268 6532032 6562920 7144410 7500480 7620704 7864085 8165040 8750560 8793120 9436902 9525880 10500672 10886720 11009719 11431056 12582536 13125840 14288820 15241408 15728170 16330080 17501120 17586240 18873804 19051760 20446621 22019438 22862112 23592255 25165072 26251680 28577640 31456340 32660160 33029157 37747608 38103520 40893242 44038876 45724224 47184510 50330144 52503360 55048595 57155280 61339863 62912680 66058314 75495216 76207040 81786484 88077752 94369020 100660288 102233105 110097190 114310560 122679726 125825360 132116628 143126347 150990432 163572968 165145785 176155504 188738040 204466210 220194380 228621120 245359452 251650720 264233256 286252694 301980864 306699315 327145936 330291570 352311008 377476080 408932420 429379041 440388760 490718904 503301440 528466512 572505388 613398630 654291872 660583140 704622016 715631735 754952160 817864840 858758082 880777520 981437808 1056933024 1145010776 1226797260 1308583744 1321166280 1431263470 1509904320 1635729680 1717516164 1761555040 1962875616 2113866048 2146895205 2290021552 2453594520 2642332560 2862526940 3271459360 3435032328 3523110080 3925751232 4293790410 4580043104 4907189040 5284665120 5725053880 6542918720 6870064656 8587580820 9160086208 9814378080 10569330240 11450107760 13740129312 17175161640 19628756160 22900215520 27480258624 34350323280 45800431040 68700646560 137401293120
- Sum of all divisors σ(n): 538020865536
- Sum of proper divisors (its aliquot sum) s(n): 400619572416
- 137401293120 is an abundant number, because the sum of its proper divisors (400619572416) is greater than itself. Its abundance is 263218279296
Bases of 137401293120
- Binary: 11111111111011100000101011001010000002
- Hexadecimal: 0x1FFDC15940
- Base-36: 1R4D6KAO
Squares and roots of 137401293120
- 137401293120 squared (1374012931202) is 18879115351048159334400
- 137401293120 cubed (1374012931203) is 2594014862195659839942358499328000
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The
square root of 137401293120 is 370676.8041299591 -
The
cube root of 137401293120 is 5160.1652131465
Scales and comparisons
How big is 137401293120?- 137,401,293,120 seconds is equal to 4,368 years, 48 weeks, 4 days, 17 hours, 52 minutes.
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To count from 1 to 137,401,293,120 would take you about eight thousand, seven hundred thirty-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 137401293120 cubic inches would be around 430 feet tall.
Recreational maths with 137401293120
- 137401293120 backwards is 021392104731
- The number of decimal digits it has is: 12
- The sum of 137401293120's digits is 33
- More coming soon!
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