137072481400400
137,072,481,400,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137072481400400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2430 divisors.
137072481400400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 137072481400400:
24 × 52 × 72 × 132 × 172 × 312 × 149
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 17 × 17 × 31 × 31 × 149)See below for interesting mathematical facts about the number 137072481400400 from the Numbermatics database.
Names of 137072481400400
- Cardinal: 137072481400400 can be written as One hundred thirty-seven trillion, seventy-two billion, four hundred eighty-one million, four hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.370724814004 × 1014
Factors of 137072481400400
Divisors of 137072481400400
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 31 34 35 40 49 50 52 56 62 65 68 70 80 85 91 98 100 104 112 119 124 130 136 140 149 155 169 170 175 182 196 200 208 217 221 238 245 248 260 272 280 289 298 310 325 338 340 350 364 392 400 403 425 434 442 455 476 490 496 520 527 560 578 595 596 620 637 650 676 680 700 728 745 775 784 806 833 845 850 868 884 910 952 961 980 1040 1043 1054 1085 1105 1156 1183 1190 1192 1225 1240 1274 1300 1352 1360 1400 1445 1456 1490 1519 1547 1550 1612 1666 1690 1700 1736 1768 1820 1904 1922 1937 1960 2015 2023 2086 2108 2170 2210 2275 2312 2366 2380 2384 2450 2480 2533 2548 2600 2635 2704 2800 2821 2873 2890 2975 2980 3038 3094 3100 3185 3224 3332 3380 3400 3472 3536 3640 3689 3725 3757 3844 3874 3920 4030 4046 4165 4172 4216 4225 4340 4420 4550 4619 4624 4732 4760 4805 4900 5066 5096 5200 5215 5239 5270 5425 5525 5642 5746 5780 5915 5950 5960 6076 6188 6200 6370 6448 6664 6727 6760 6800 6851 7225 7280 7301 7378 7450 7514 7595 7688 7735 7748 8060 8092 8281 8330 8344 8432 8450 8680 8840 8959 9100 9238 9464 9520 9610 9685 9800 10075 10115 10132 10192 10430 10478 10540 10829 10850 11050 11284 11492 11560 11830 11900 11920 12152 12376 12400 12493 12665 12740 13175 13328 13454 13520 13559 13702 14105 14161 14365 14450 14602 14756 14900 15028 15190 15376 15470 15496 15925 16120 16184 16337 16562 16660 16688 16900 17360 17680 17731 17918 18200 18445 18476 18785 18928 19220 19370 19600 19747 20111 20150 20230 20264 20825 20860 20956 21080 21658 21700 22100 22568 22984 23095 23120 23660 23800 24025 24304 24752 24986 25181 25330 25480 25823 26075 26195 26299 26350 26908 27118 27404 28210 28322 28730 28900 29204 29512 29575 29800 30056 30380 30940 30992 31850 32240 32333 32368 32674 32929 33124 33320 33635 33800 34255 35462 35836 36400 36505 36673 36890 36952 37570 37975 38440 38675 38740 39494 40222 40300 40460 40528 41405 41650 41720 41912 42160 43061 43316 43400 44200 44795 45136 45968 46190 47089 47320 47600 47957 48050 48425 48841 49972 50362 50575 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403154357060 405539885800 421761481232 442169294840 459974769800 474299243600 489544576430 503942946325 527201851540 552711618550 559479515920 575934795800 620237472400 631670421200 659002314425 685362407002 699349394900 753145502200 783271322288 806308714120 811079771600 884338589680 919949539600 979089152860 1007885892650 1054403703080 1105423237100 1151869591600 1223861441075 1318004628850 1370724814004 1398698789800 1506291004400 1612617428240 1713406017505 1958178305720 2015771785300 2108807406160 2210846474200 2447722882150 2636009257700 2741449628008 2797397579600 3426812035010 3916356611440 4031543570600 4421692948400 4895445764300 5272018515400 5482899256016 6853624070020 8063087141200 8567030087525 9790891528600 10544037030800 13707248140040 17134060175050 19581783057200 27414496280080 34268120350100 68536240700200 137072481400400
- Sum of all divisors σ(n): 458382697581150
- Sum of proper divisors (its aliquot sum) s(n): 321310216180750
- 137072481400400 is an abundant number, because the sum of its proper divisors (321310216180750) is greater than itself. Its abundance is 184237734780350
Bases of 137072481400400
- Binary: 111110010101010101011001000111111110110010100002
- Hexadecimal: 0x7CAAAC8FF650
- Base-36: 1CL688BHOW
Squares and roots of 137072481400400
- 137072481400400 squared (1370724814004002) is 18788865157263003945120160000
- 137072481400400 cubed (1370724814004003) is 2575436369803556729238514953943072064000000
-
The
square root of 137072481400400 is 11707795.7532748239 -
The
cube root of 137072481400400 is 51560.4570300459
Scales and comparisons
How big is 137072481400400?- 137,072,481,400,400 seconds is equal to 4,358,480 years, 47 weeks, 4 days, 5 hours, 53 minutes, 20 seconds.
-
To count from 1 to 137,072,481,400,400 would take you about ten million, eight hundred ninety-six thousand, two hundred two 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 137072481400400 cubic inches would be around 4296.7 feet tall.
Recreational maths with 137072481400400
- 137072481400400 backwards is 004004184270731
- The number of decimal digits it has is: 15
- The sum of 137072481400400's digits is 41
- More coming soon!
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"Number 137072481400400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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The information we have on file for 137072481400400 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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