137934146508397960
137,934,146,508,397,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137934146508397960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
137934146508397960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137934146508397960:
23 × 5 × 72 × 71 × 103 × 19661 × 489457
(2 × 2 × 2 × 5 × 7 × 7 × 71 × 103 × 19661 × 489457)See below for interesting mathematical facts about the number 137934146508397960 from the Numbermatics database.
Names of 137934146508397960
- Cardinal: 137934146508397960 can be written as One hundred thirty-seven quadrillion, nine hundred thirty-four trillion, one hundred forty-six billion, five hundred eight million, three hundred ninety-seven thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3793414650839796 × 1017
Factors of 137934146508397960
Divisors of 137934146508397960
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 71 98 103 140 142 196 206 245 280 284 355 392 412 490 497 515 568 710 721 824 980 994 1030 1420 1442 1960 1988 2060 2485 2840 2884 3479 3605 3976 4120 4970 5047 5768 6958 7210 7313 9940 10094 13916 14420 14626 17395 19661 19880 20188 25235 27832 28840 29252 34790 36565 39322 40376 50470 51191 58504 69580 73130 78644 98305 100940 102382 137627 139160 146260 157288 196610 201880 204764 255955 275254 292520 358337 393220 409528 489457 511910 550508 688135 716674 786440 963389 978914 1023820 1101016 1376270 1395931 1433348 1791685 1926778 1957828 2025083 2047640 2447285 2752540 2791862 2866696 3426199 3583370 3853556 3915656 4050166 4816945 4894570 5505080 5583724 6852398 6979655 7166740 7707112 8100332 9633890 9771517 9789140 10125415 11167448 13704796 13959310 14175581 14333480 16200664 17130995 19267780 19543034 19578280 20250830 23983393 27409592 27918620 28351162 34261990 34751447 38535560 39086068 40501660 47966786 48857585 50414071 55837240 56702324 68400619 68523980 69502894 70877905 78172136 81003320 95933572 97715170 99229067 100828142 113404648 119916965 136801238 137047960 139005788 141755810 143780893 173757235 191867144 195430340 198458134 201656284 239833930 243260129 252070355 273602476 278011576 283511620 287561786 342003095 347514470 352898497 390860680 396916268 403312568 479667860 486520258 496145335 504140710 547204952 567023240 575123572 684006190 695028940 705796994 718904465 793832536 959335720 973040516 992290670 1006466251 1008281420 1150247144 1216300645 1368012380 1390057880 1411593988 1437808930 1702820903 1764492485 1946081032 1984581340 2012932502 2016562840 2432601290 2470289479 2736024760 2823187976 2875617860 3405641806 3528984970 3579399041 3969162680 4025865004 4865202580 4940578958 5032331255 5751235720 6811283612 7045263757 7057969940 7158798082 8051730008 8514104515 9623214077 9730405160 9881157916 10064662510 12351447395 13622567224 14090527514 14115939880 14317596164 17028209030 17896995205 19246428154 19762315832 20129325020 24702894790 25055793287 28181055028 28635192328 34056418060 35226318785 35793990410 38492856308 40258650040 48116070385 49405789580 50111586574 56362110056 67362498539 68112836120 70452637570 71587980820 76985712616 96232140770 98811579160 100223173148 125278966435 134724997078 140905275140 143175961640 175390553009 192464281540 200446346296 250557932870 269449994156 281810550280 336812492695 350781106018 384928563080 471537489773 501115865740 538899988312 673624985390 683248199467 701562212036 876952765045 943074979546 991191049931 1002231731480 1347249970780 1366496398934 1403124424072 1753905530090 1886149959092 1982382099862 2357687448865 2694499941560 2732992797868 3416240997335 3507811060180 3772299918184 3964764199724 4715374897730 4782737396269 4955955249655 5465985595736 6832481994670 6938337349517 7015622120360 7929528399448 9430749795460 9565474792538 9911910499310 13664963989340 13876674699034 18861499590920 19130949585076 19823820998620 23913686981345 27329927978680 27753349398068 33479161773883 34691686747585 38261899170152 39647641997240 47827373962690 48568361446619 55506698796136 66958323547766 69383373495170 70374564545101 95654747925380 97136722893238 133916647095532 138766746990340 140749129090202 167395808869415 191309495850760 194273445786476 242841807233095 267833294191064 277533493980680 281498258180404 334791617738830 351872822725505 388546891572952 485683614466190 492621951815707 562996516360808 669583235477660 703745645451010 971367228932380 985243903631414 1339166470955320 1407491290902020 1942734457864760 1970487807262828 2463109759078535 2814982581804040 3448353662709949 3940975614525656 4926219518157070 6896707325419898 9852439036314140 13793414650839796 17241768313549745 19704878072628280 27586829301679592 34483536627099490 68967073254198980 137934146508397960
- Sum of all divisors σ(n): 369680313566154240
- Sum of proper divisors (its aliquot sum) s(n): 231746167057756280
- 137934146508397960 is an abundant number, because the sum of its proper divisors (231746167057756280) is greater than itself. Its abundance is 93812020549358320
Bases of 137934146508397960
- Binary: 1111010100000101001100000000111010000011110011101100010002
- Hexadecimal: 0x1EA0A601D079D88
- Base-36: 11Q5KO4KZ2X4
Squares and roots of 137934146508397960
- 137934146508397960 squared (1379341465083979602) is 19025828773000193139952805732161600
- 137934146508397960 cubed (1379341465083979603) is 2624311453418702034097050010927615960500863830336000
-
The
square root of 137934146508397960 is 371394866.0232098039 -
The
cube root of 137934146508397960 is 516682.7122188435
Scales and comparisons
How big is 137934146508397960?- 137,934,146,508,397,960 seconds is equal to 4,385,879,200 years, 33 weeks, 1 day, 9 hours, 12 minutes, 40 seconds.
-
To count from 1 to 137,934,146,508,397,960 would take you about thirteen billion, one hundred fifty-seven million, six hundred thirty-seven thousand, six hundred 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 137934146508397960 cubic inches would be around 43056.9 feet tall.
Recreational maths with 137934146508397960
- 137934146508397960 backwards is 069793805641439731
- The number of decimal digits it has is: 18
- The sum of 137934146508397960's digits is 85
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137934146508397960 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 137934146508397960 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137934146508397960/
Chicago style:
Numbermatics. 2024. "Number 137934146508397960 - Facts about the integer". https://numbermatics.com/n/137934146508397960/
The information we have on file for 137934146508397960 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!
Keywords: Divisors of 137934146508397960, math, Factors of 137934146508397960, curriculum, school, college, exams, university, Prime factorization of 137934146508397960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred thirty-four trillion, one hundred forty-six billion, five hundred eight million, three hundred ninety-seven thousand, nine hundred sixty.