137953106200
137,953,106,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137953106200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
137953106200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137953106200:
23 × 52 × 7 × 13 × 17 × 19 × 31 × 757
(2 × 2 × 2 × 5 × 5 × 7 × 13 × 17 × 19 × 31 × 757)See below for interesting mathematical facts about the number 137953106200 from the Numbermatics database.
Names of 137953106200
- Cardinal: 137953106200 can be written as One hundred thirty-seven billion, nine hundred fifty-three million, one hundred six thousand, two hundred.
Scientific notation
- Scientific notation: 1.379531062 × 1011
Factors of 137953106200
Divisors of 137953106200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 17 19 20 25 26 28 31 34 35 38 40 50 52 56 62 65 68 70 76 85 91 95 100 104 119 124 130 133 136 140 152 155 170 175 182 190 200 217 221 238 247 248 260 266 280 310 323 325 340 350 364 380 403 425 434 442 455 475 476 494 520 527 532 589 595 620 646 650 665 680 700 728 757 760 775 806 850 868 884 910 950 952 988 1054 1064 1085 1105 1178 1190 1235 1240 1292 1300 1330 1400 1514 1547 1550 1612 1615 1700 1729 1736 1768 1820 1900 1976 2015 2108 2170 2210 2261 2275 2356 2380 2470 2584 2600 2635 2660 2821 2945 2975 3028 3094 3100 3224 3230 3325 3400 3458 3640 3689 3785 3800 4030 4123 4199 4216 4340 4420 4522 4550 4712 4760 4940 5270 5299 5320 5425 5525 5642 5890 5950 6056 6175 6188 6200 6460 6650 6851 6916 7378 7570 7657 7735 8060 8075 8246 8398 8645 8680 8840 9044 9100 9841 9880 10013 10075 10540 10598 10850 11050 11284 11305 11780 11900 12350 12376 12869 12920 13175 13300 13702 13832 14105 14383 14725 14756 15140 15314 15470 16120 16150 16492 16796 17290 18088 18200 18445 18925 19682 20026 20150 20615 20995 21080 21196 21700 22100 22568 22610 23467 23560 23800 24700 25738 26350 26495 26600 27404 28210 28766 29393 29450 29512 30280 30628 30940 32300 32984 33592 34255 34580 36890 37850 38285 38675 39364 40052 40300 41230 41990 42392 43225 43400 44200 45220 46934 47957 49205 49400 50065 51476 52700 52990 53599 54808 56420 56525 57532 58786 58900 61256 61880 64345 64600 68510 68887 69160 70091 70525 71915 73780 75700 76570 77350 78728 80104 80600 82460 83980 86450 90083 90440 92225 93868 95914 98410 100130 100681 102952 103075 104975 105400 105980 107198 112840 113050 115064 117335 117572 117800 128690 130169 132475 137020 137774 140182 141050 143830 146965 147560 151400 153140 154700 164269 164920 167297 167960 171275 172900 180166 184450 186979 187736 191425 191828 196820 200260 201362 206150 209950 211960 214396 226100 234670 235144 239785 244511 246025 250325 257380 260338 264950 267995 274040 275548 280364 282100 287660 293930 305071 306280 309400 321725 328538 334594 342550 344435 345800 350455 359575 360332 368900 373958 382850 383656 393640 398939 400520 402724 412300 419900 428792 445873 450415 452200 469340 479570 489022 492050 500650 503405 514760 520676 529900 535990 551096 560728 564200 575320 586675 587860 610142 643450 650845 657076 669188 685100 688870 700910 719150 720664 734825 737800 747916 765700 797878 805448 821345 824600 836485 839800 891746 900830 911183 934895 938680 959140 978044 984100 1001300 1006810 1041352 1059800 1071980 1171079 1173350 1175720 1198925 1220284 1222555 1286900 1301690 1308853 1314152 1338376 1339975 1370200 1377740 1401820 1438300 1469650 1495832 1525355 1531400 1595756 1642690 1672970 1711577 1722175 1752275 1783492 1801660 1822366 1869790 1918280 1956088 1968200 1994695 2002600 2013620 2135497 2143960 2229365 2252075 2342158 2346700 2397850 2440568 2445110 2517025 2573800 2603380 2617706 2679950 2755480 2792573 2803640 2876600 2939300 3050710 3121111 3178643 3191512 3254225 3285380 3345940 3423154 3444350 3504550 3566984 3603320 3644732 3739580 3989390 4027240 4106725 4182425 4270994 4458730 4504150 4555915 4674475 4684316 4693400 4795700 4890220 5034050 5186207 5206760 5235412 5359900 5585146 5796349 5855395 5878600 6101420 6112775 6242222 6357286 6508450 6544265 6570760 6691880 6846308 6888700 7009100 7289464 7479160 7579841 7626775 7978780 8213450 8364850 8541988 8557885 8917460 9008300 9111830 9348950 9368632 9591400 9780440 9973475 10068100 10372414 10470824 10677485 10719800 11146825 11170292 11592698 11710790 12202840 12225550 12484444 12714572 13016900 13088530 13692616 13777400 13962865 14018200 15159682 15253550 15605555 15893215 15957560 16426900 16729700 17083976 17115770 17834920 18016600 18223660 18697900 19946950 20136200 20744828 21354970 22250501 22293650 22340584 22779575 23185396 23421580 24451100 24968888 25429144 25931035 26033800 26177060 27925730 28981745 29276975 30319364 30507100 31211110 31786430 32721325 32853800 33459400 34231540 36303449 36447320 37395800 37899205 39893900 40574443 41489656 42709940 42789425 44501002 44587300 45559150 46370792 46843160 48902200 51862070 52354120 53058887 53387425 55851460 57963490 58553950 60638728 61014200 62422220 63572860 65442650 68463080 69814325 72606898 75798410 78027775 79466075 79787800 81148886 85419880 85578850 89002004 89174600 91118300 98537933 103724140 106117774 106774850 111252505 111702920 115926980 117107900 124844440 127145720 129655175 130885300 139628650 144908725 145213796 151596820 156055550 158932150 162297772 171157700 178004008 181517245 182236600 189496025 197075866 202872215 207448280 212235548 213549700 222505010 231853960 234215800 259310350 261770600 265294435 279257300 289817450 290427592 303193640 312111100 317864300 324595544 342315400 363034490 378992050 394151732 405744430 424471096 427099400 445010020 492689665 518620700 530588870 556262525 558514600 579634900 624222200 635728600 689765531 726068980 757984100 788303464 811488860 890020040 907586225 985379330 1014361075 1037241400 1061177740 1112525050 1159269800 1326472175 1379531062 1452137960 1515968200 1622977720 1815172450 1970758660 2028722150 2122355480 2225050100 2463448325 2652944350 2759062124 3448827655 3630344900 3941517320 4057444300 4450100200 4926896650 5305888700 5518124248 6897655310 7260689800 8114888600 9853793300 10611777400 13795310620 17244138275 19707586600 27590621240 34488276550 68976553100 137953106200
- Sum of all divisors σ(n): 454770892800
- Sum of proper divisors (its aliquot sum) s(n): 316817786600
- 137953106200 is an abundant number, because the sum of its proper divisors (316817786600) is greater than itself. Its abundance is 178864680400
Bases of 137953106200
- Binary: 100000000111101010010101011001000110002
- Hexadecimal: 0x201EA55918
- Base-36: 1RDHPTZS
Squares and roots of 137953106200
- 137953106200 squared (1379531062002) is 19031059510228478440000
- 137953106200 cubed (1379531062003) is 2625393773713069272497730328000000
-
The
square root of 137953106200 is 371420.3901241827 -
The
cube root of 137953106200 is 5167.0638461693
Scales and comparisons
How big is 137953106200?- 137,953,106,200 seconds is equal to 4,386 years, 25 weeks, 11 hours, 16 minutes, 40 seconds.
-
To count from 1 to 137,953,106,200 would take you about eight thousand, seven hundred seventy-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 137953106200 cubic inches would be around 430.6 feet tall.
Recreational maths with 137953106200
- 137953106200 backwards is 002601359731
- The number of decimal digits it has is: 12
- The sum of 137953106200's digits is 37
- More coming soon!
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Numbermatics. (2024). Number 137953106200 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137953106200/
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The information we have on file for 137953106200 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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