137952829352520000
137,952,829,352,520,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137952829352520000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3780 divisors.
137952829352520000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 137952829352520000:
26 × 32 × 54 × 7 × 132 × 19 × 41292
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 19 × 4129 × 4129)See below for interesting mathematical facts about the number 137952829352520000 from the Numbermatics database.
Names of 137952829352520000
- Cardinal: 137952829352520000 can be written as One hundred thirty-seven quadrillion, nine hundred fifty-two trillion, eight hundred twenty-nine billion, three hundred fifty-two million, five hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3795282935252 × 1017
Factors of 137952829352520000
Divisors of 137952829352520000
- Number of divisors d(n): 3780
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 25 26 28 30 32 35 36 38 39 40 42 45 48 50 52 56 57 60 63 64 65 70 72 75 76 78 80 84 90 91 95 96 100 104 105 112 114 117 120 125 126 130 133 140 144 150 152 156 160 168 169 171 175 180 182 190 192 195 200 208 210 224 225 228 234 240 247 250 252 260 266 273 280 285 288 300 304 312 315 320 325 336 338 342 350 360 364 375 380 390 399 400 416 420 448 450 455 456 468 475 480 494 500 504 507 520 525 532 546 560 570 576 585 600 608 624 625 630 650 665 672 676 684 700 720 728 741 750 760 780 798 800 819 832 840 845 855 875 900 910 912 936 950 960 975 988 1000 1008 1014 1040 1050 1064 1092 1120 1125 1140 1170 1183 1197 1200 1216 1235 1248 1250 1260 1300 1330 1344 1352 1365 1368 1400 1425 1440 1456 1482 1500 1520 1521 1560 1575 1596 1600 1625 1638 1680 1690 1710 1729 1750 1800 1820 1824 1872 1875 1900 1950 1976 1995 2000 2016 2028 2080 2100 2128 2184 2223 2240 2250 2275 2280 2340 2366 2375 2394 2400 2470 2496 2500 2520 2535 2600 2625 2660 2704 2730 2736 2800 2850 2880 2912 2925 2964 3000 3040 3042 3120 3150 3192 3211 3250 3276 3325 3360 3380 3420 3458 3500 3549 3600 3640 3648 3705 3744 3750 3800 3900 3952 3990 4000 4032 4056 4095 4129 4160 4200 4225 4256 4275 4368 4375 4446 4500 4550 4560 4680 4732 4750 4788 4800 4875 4940 5000 5040 5070 5187 5200 5250 5320 5408 5460 5472 5600 5625 5700 5824 5850 5915 5928 5985 6000 6080 6084 6175 6240 6300 6384 6422 6500 6552 6650 6720 6760 6825 6840 6916 7000 7098 7125 7200 7280 7410 7488 7500 7600 7605 7800 7875 7904 7980 8000 8112 8125 8190 8258 8400 8450 8512 8550 8645 8736 8750 8892 9000 9100 9120 9360 9464 9500 9576 9633 9750 9880 9975 10000 10080 10140 10374 10400 10500 10640 10647 10816 10920 10944 11115 11200 11250 11375 11400 11700 11830 11856 11875 11970 12000 12168 12350 12387 12480 12600 12675 12768 12844 13000 13104 13125 13300 13520 13650 13680 13832 14000 14196 14250 14400 14560 14625 14820 15000 15200 15210 15561 15600 15750 15808 15960 16055 16224 16250 16380 16516 16625 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13795282935252000 15328092150280000 17244103669065000 19707547050360000 22992138225420000 27590565870504000 34488207338130000 45984276450840000 68976414676260000 137952829352520000
- Sum of all divisors σ(n): 643819519373453280
- Sum of proper divisors (its aliquot sum) s(n): 505866690020933280
- 137952829352520000 is an abundant number, because the sum of its proper divisors (505866690020933280) is greater than itself. Its abundance is 367913860668413280
Bases of 137952829352520000
- Binary: 1111010100001101101011110000011010101000100101001010000002
- Hexadecimal: 0x1EA1B5E0D512940
- Base-36: 11QC72WNZKG0
Squares and roots of 137952829352520000
- 137952829352520000 squared (1379528293525200002) is 19030983126365503682430350400000000
- 137952829352520000 cubed (1379528293525200003) is 2625377967642187892707551791271628723008000000000000
-
The
square root of 137952829352520000 is 371420017.4364865865 -
The
cube root of 137952829352520000 is 516706.0389705829
Scales and comparisons
How big is 137952829352520000?- 137,952,829,352,520,000 seconds is equal to 4,386,473,257 years, 15 weeks, 1 day, 4 hours.
-
To count from 1 to 137,952,829,352,520,000 would take you about thirteen billion, one hundred fifty-nine million, four hundred nineteen thousand, seven hundred seventy-one 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 137952829352520000 cubic inches would be around 43058.8 feet tall.
Recreational maths with 137952829352520000
- 137952829352520000 backwards is 000025253928259731
- 137952829352520000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137952829352520000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 137952829352520000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 137952829352520000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137952829352520000/
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Numbermatics. 2024. "Number 137952829352520000 - Facts about the integer". https://numbermatics.com/n/137952829352520000/
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