31438110132000
31,438,110,132,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 31438110132000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
31438110132000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 31438110132000:
25 × 32 × 53 × 112 × 13 × 173 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 17 × 17 × 17 × 113)See below for interesting mathematical facts about the number 31438110132000 from the Numbermatics database.
Names of 31438110132000
- Cardinal: 31438110132000 can be written as Thirty-one trillion, four hundred thirty-eight billion, one hundred ten million, one hundred thirty-two thousand.
Scientific notation
- Scientific notation: 3.1438110132 × 1013
Factors of 31438110132000
Divisors of 31438110132000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 20 22 24 25 26 30 32 33 34 36 39 40 44 45 48 50 51 52 55 60 65 66 68 72 75 78 80 85 88 90 96 99 100 102 104 110 113 117 120 121 125 130 132 136 143 144 150 153 156 160 165 170 176 180 187 195 198 200 204 208 220 221 225 226 234 240 242 250 255 260 264 272 275 286 288 289 300 306 312 325 330 339 340 352 360 363 374 375 390 396 400 408 416 425 429 440 442 450 452 468 480 484 495 500 510 520 528 544 550 561 565 572 578 585 600 605 612 624 650 660 663 678 680 715 720 726 748 750 765 780 792 800 816 825 850 858 867 880 884 900 904 935 936 968 975 990 1000 1017 1020 1040 1056 1089 1100 1105 1122 1125 1130 1144 1156 1170 1200 1210 1224 1243 1248 1275 1287 1300 1320 1326 1356 1360 1375 1430 1440 1445 1452 1469 1496 1500 1530 1560 1573 1584 1625 1632 1650 1683 1695 1700 1716 1734 1760 1768 1800 1808 1815 1870 1872 1921 1936 1950 1980 1989 2000 2034 2040 2057 2080 2125 2145 2178 2200 2210 2244 2250 2260 2288 2312 2340 2400 2420 2431 2448 2475 2486 2550 2574 2600 2601 2640 2652 2712 2720 2750 2805 2825 2860 2890 2904 2925 2938 2992 3000 3025 3060 3120 3146 3168 3179 3250 3300 3315 3366 3390 3400 3432 3468 3536 3575 3600 3616 3630 3729 3740 3744 3757 3825 3842 3872 3900 3960 3978 4000 4068 4080 4114 4125 4250 4290 4335 4356 4400 4407 4420 4488 4500 4520 4576 4624 4675 4680 4719 4840 4862 4875 4896 4913 4950 4972 5085 5100 5148 5200 5202 5280 5304 5424 5445 5500 5525 5610 5650 5720 5763 5780 5808 5850 5876 5984 6000 6050 6120 6171 6215 6240 6292 6358 6375 6435 6500 6600 6630 6732 6780 6800 6864 6936 7072 7150 7200 7225 7260 7293 7345 7458 7480 7514 7650 7684 7800 7865 7920 7956 8136 8160 8228 8250 8415 8475 8500 8580 8670 8712 8800 8814 8840 8976 9000 9040 9075 9248 9350 9360 9438 9537 9605 9680 9724 9750 9826 9900 9944 9945 10170 10200 10285 10296 10400 10404 10608 10725 10848 10890 11000 11050 11187 11220 11271 11300 11440 11526 11560 11616 11700 11752 12000 12100 12155 12240 12342 12375 12430 12584 12716 12750 12870 13000 13005 13200 13221 13260 13464 13560 13600 13673 13728 13872 14025 14125 14157 14300 14450 14520 14586 14625 14690 14739 14916 14960 15028 15125 15300 15368 15600 15730 15840 15895 15912 16159 16272 16456 16500 16575 16830 16950 17000 17160 17289 17340 17424 17628 17680 17875 17952 18000 18080 18150 18513 18645 18700 18720 18785 18876 19074 19125 19210 19360 19448 19500 19652 19800 19888 19890 20340 20400 20570 20592 20808 21131 21216 21450 21675 21780 21879 22000 22035 22100 22374 22440 22542 22600 22880 23052 23120 23375 23400 23504 23595 24200 24310 24480 24565 24684 24750 24860 24973 25168 25425 25432 25500 25740 26000 26010 26400 26442 26520 26741 26928 27120 27225 27346 27625 27744 28050 28250 28314 28600 28611 28815 28900 29040 29172 29250 29380 29478 29832 29920 30056 30250 30600 30736 30855 31075 31200 31460 31790 31824 32175 32318 32544 32657 32912 33000 33150 33660 33813 33900 34000 34320 34578 34680 34848 34969 35256 35360 35750 36000 36125 36300 36465 36725 37026 37290 37400 37570 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19346529312 19847291750 19986084000 20152634700 20547784400 20958740088 21014779500 21401028000 21651591000 21756477600 21832020925 21984692400 22864080096 23116257450 23184447000 23708982000 23816750100 24183161640 24427436000 24657341280 25190793375 25292124000 25684730500 25981909200 26198425110 26870179600 27195597000 27480865500 27821336400 27944986784 28019706000 28450778400 28580100120 28868788000 29770937625 30228952050 30821676600 30912596000 31438110132 31755666800 32244215520 32477386500 33587724500 33623647200 34776670500 34931233480 35563473000 35725125150 36260796000 36641154000 36986011920 38106800160 38527095750 39297637665 39694583500 40305269400 41095568800 41917480176 42029559000 43303182000 43664041850 43969384800 46232514900 46368894000 47417964000 47633500200 48366323280 50381586750 51369461000 51963818400 52396850220 53740359200 54391194000 54961731000 55642672800 56039412000 57160200240 57790643625 59541875250 60457904100 61643353200 62876220264 63511333600 64954773000 65496062775 67175449000 69553341000 69862466960 71126946000 71450250300 73282308000 73972023840 75572380125 77054191500 78595275330 79389167000 80610538800 83834960352 84059118000 86606364000 87328083700 89312812875 92465029800 92737788000 95267000400 96732646560 100763173500 102738922000 104793700440 108782388000 109160104625 109923462000 114320400480 115581287250 119083750500 120915808200 123286706400 125752440528 129909546000 130992125550 134350898000 139106682000 139724933920 142253892000 142900500600 151144760250 154108383000 157190550660 158778334000 161221077600 168118236000 174656167400 178625625750 184930059600 190534000800 196488188325 201526347000 205477844000 209587400880 218320209250 219846924000 231162574500 238167501000 241831616400 251504881056 259819092000 261984251100 268701796000 278213364000 285801001200 302289520500 308216766000 314381101320 317556668000 327480313875 349312334800 357251251500 369860119200 392976376650 403052694000 419174801760 436640418500 462325149000 476335002000 483663232800 523968502200 571602002400 604579041000 616433532000 628762202640 654960627750 698624669600 714502503000 785952753300 806105388000 873280837000 924650298000 952670004000 982440941625 1047937004400 1209158082000 1257524405280 1309921255500 1429005006000 1571905506600 1746561674000 1849300596000 1964881883250 2095874008800 2418316164000 2619842511000 2858010012000 3143811013200 3493123348000 3929763766500 5239685022000 6287622026400 7859527533000 10479370044000 15719055066000 31438110132000
- Sum of all divisors σ(n): 141567489685440
- Sum of proper divisors (its aliquot sum) s(n): 110129379553440
- 31438110132000 is an abundant number, because the sum of its proper divisors (110129379553440) is greater than itself. Its abundance is 78691269421440
Bases of 31438110132000
- Binary: 1110010010111110000010110001100000111001000002
- Hexadecimal: 0x1C97C1630720
- Base-36: B56GV2BS0
Squares and roots of 31438110132000
- 31438110132000 squared (314381101320002) is 988354768671761057424000000
- 31438110132000 cubed (314381101320003) is 31072006066990207481684488219968000000000
-
The
square root of 31438110132000 is 5606969.7816200151 -
The
cube root of 31438110132000 is 31561.1009003607
Scales and comparisons
How big is 31438110132000?- 31,438,110,132,000 seconds is equal to 999,634 years, 34 weeks, 1 day, 10 hours.
-
To count from 1 to 31,438,110,132,000 would take you about two million, four hundred ninety-nine thousand and eighty-six 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 31438110132000 cubic inches would be around 2630.1 feet tall.
Recreational maths with 31438110132000
- 31438110132000 backwards is 00023101183413
- The number of decimal digits it has is: 14
- The sum of 31438110132000's digits is 27
- More coming soon!
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"Number 31438110132000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 31438110132000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/31438110132000/
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The information we have on file for 31438110132000 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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