137768359480400000
137,768,359,480,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137768359480400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
137768359480400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137768359480400000:
27 × 55 × 11 × 31 × 612 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 11 × 31 × 61 × 61 × 521 × 521)See below for interesting mathematical facts about the number 137768359480400000 from the Numbermatics database.
Names of 137768359480400000
- Cardinal: 137768359480400000 can be written as One hundred thirty-seven quadrillion, seven hundred sixty-eight trillion, three hundred fifty-nine billion, four hundred eighty million, four hundred thousand.
Scientific notation
- Scientific notation: 1.377683594804 × 1017
Factors of 137768359480400000
Divisors of 137768359480400000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 61 62 64 80 88 100 110 122 124 125 128 155 160 176 200 220 244 248 250 275 305 310 320 341 352 400 440 488 496 500 521 550 610 620 625 640 671 682 704 775 800 880 976 992 1000 1042 1100 1220 1240 1250 1342 1364 1375 1408 1525 1550 1600 1705 1760 1891 1952 1984 2000 2084 2200 2440 2480 2500 2605 2684 2728 2750 3050 3100 3125 3200 3355 3410 3520 3721 3782 3875 3904 3968 4000 4168 4400 4880 4960 5000 5210 5368 5456 5500 5731 6100 6200 6250 6710 6820 6875 7040 7442 7564 7625 7750 7808 8000 8336 8525 8800 9455 9760 9920 10000 10420 10736 10912 11000 11462 12200 12400 12500 13025 13420 13640 13750 14884 15128 15250 15500 16000 16151 16672 16775 17050 17600 18605 18910 19375 19520 19840 20000 20801 20840 21472 21824 22000 22924 24400 24800 25000 26050 26840 27280 27500 28655 29768 30256 30500 31000 31781 32302 33344 33550 34100 34375 35200 37210 37820 38125 38750 39040 40000 40931 41602 41680 42625 42944 43648 44000 45848 47275 48800 49600 50000 52100 53680 54560 55000 57310 59536 60512 61000 62000 63562 64604 65125 66688 67100 68200 68750 74420 75640 76250 77500 80000 80755 81862 83204 83360 83875 85250 85888 88000 91696 93025 94550 96875 97600 99200 100000 104005 104200 107360 109120 110000 114620 115351 119072 121024 122000 124000 127124 129208 130250 134200 136400 137500 143275 148840 151280 152500 155000 158905 161510 163724 166408 166720 167750 170500 176000 177661 183392 186050 189100 190625 193750 195200 200000 204655 208010 208400 213125 214720 218240 220000 229240 230702 236375 238144 242048 244000 248000 254248 258416 260500 268400 271441 272800 275000 286550 297680 302560 305000 310000 317810 323020 325625 327448 332816 333440 335500 341000 349591 355322 366784 372100 378200 381250 387500 400000 403775 409310 416020 416800 419375 426250 429440 440000 458480 461404 465125 472750 476288 488000 496000 508496 516832 520025 521000 536800 542882 545600 550000 573100 576755 595360 605120 610000 620000 635620 646040 651250 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1102146875843200 1111035157100000 1129248848200000 1252439631640000 1377683594804000 1565549539550000 1722104493505000 2152630616881250 2222070314200000 2258497696400000 2504879263280000 2755367189608000 3131099079100000 3444208987010000 4305261233762500 4444140628400000 5510734379216000 6262198158200000 6888417974020000 8610522467525000 12524396316400000 13776835948040000 17221044935050000 27553671896080000 34442089870100000 68884179740200000 137768359480400000
- Sum of all divisors σ(n): 393504595186510080
- Sum of proper divisors (its aliquot sum) s(n): 255736235706110080
- 137768359480400000 is an abundant number, because the sum of its proper divisors (255736235706110080) is greater than itself. Its abundance is 117967876225710080
Bases of 137768359480400000
- Binary: 1111010010111001110010111110100000001111000011000100000002
- Hexadecimal: 0x1E97397D01E1880
- Base-36: 11OIT2M8ZYBK
Squares and roots of 137768359480400000
- 137768359480400000 squared (1377683594804000002) is 18980120873920720557984160000000000
- 137768359480400000 cubed (1377683594804000003) is 2614860115539753635202556227249030464000000000000000
-
The
square root of 137768359480400000 is 371171603.8174256671 -
The
cube root of 137768359480400000 is 516475.6239447867
Scales and comparisons
How big is 137768359480400000?- 137,768,359,480,400,000 seconds is equal to 4,380,607,685 years, 49 weeks, 6 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,768,359,480,400,000 would take you about thirteen billion, one hundred forty-one million, eight hundred twenty-three thousand and fifty-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 137768359480400000 cubic inches would be around 43039.6 feet tall.
Recreational maths with 137768359480400000
- 137768359480400000 backwards is 000004084953867731
- The number of decimal digits it has is: 18
- The sum of 137768359480400000's digits is 65
- More coming soon!
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"Number 137768359480400000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 137768359480400000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137768359480400000/
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The information we have on file for 137768359480400000 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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