131974068992320
131,974,068,992,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131974068992320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
131974068992320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 131974068992320:
26 × 5 × 17 × 41 × 53 × 181 × 61681
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 41 × 53 × 181 × 61681)See below for interesting mathematical facts about the number 131974068992320 from the Numbermatics database.
Names of 131974068992320
- Cardinal: 131974068992320 can be written as One hundred thirty-one trillion, nine hundred seventy-four billion, sixty-eight million, nine hundred ninety-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3197406899232 × 1014
Factors of 131974068992320
Divisors of 131974068992320
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 32 34 40 41 53 64 68 80 82 85 106 136 160 164 170 181 205 212 265 272 320 328 340 362 410 424 530 544 656 680 697 724 820 848 901 905 1060 1088 1312 1360 1394 1448 1640 1696 1802 1810 2120 2173 2624 2720 2788 2896 3077 3280 3392 3485 3604 3620 4240 4346 4505 5440 5576 5792 6154 6560 6970 7208 7240 7421 8480 8692 9010 9593 10865 11152 11584 12308 13120 13940 14416 14480 14842 15385 16960 17384 18020 19186 21730 22304 24616 27880 28832 28960 29684 30770 34768 36040 36941 37105 38372 43460 44608 47965 49232 55760 57664 57920 59368 61540 61681 69536 72080 73882 74210 76744 86920 95930 98464 111520 118736 123080 123362 126157 139072 144160 147764 148420 153488 163081 173840 184705 191860 196928 223040 237472 246160 246724 252314 288320 295528 296840 306976 308405 326162 347680 369410 383720 393313 474944 492320 493448 504628 591056 593680 613952 616810 630785 652324 695360 738820 767440 786626 815405 984640 986896 1009256 1048577 1182112 1187360 1233620 1261570 1304648 1477640 1534880 1573252 1630810 1966565 1973792 2018512 2097154 2364224 2374720 2467240 2523140 2528921 2609296 2955280 3069760 3146504 3261620 3269093 3933130 3947584 4037024 4194308 4934480 5046280 5057842 5218592 5242885 5910560 6293008 6523240 6538186 6686321 7866260 8074048 8388616 9868960 10092560 10115684 10437184 10485770 11164261 11821120 12586016 12644605 13046480 13076372 13372642 15732520 16345465 16777232 19737920 20185120 20231368 20971540 22328522 25172032 25289210 26092960 26152744 26745284 31465040 32690930 33431605 33554464 40370240 40462736 41943080 42991657 44657044 50578420 52185920 52305488 53490568 55574581 55821305 62930080 65381860 66863210 67108928 80925472 83886160 85983314 89314088 101156840 104610976 106981136 111149162 111642610 125860160 130763720 133726420 134032813 161850944 167772320 171966628 178628176 189792437 202313680 209221952 213962272 214958285 222298324 223285220 261527440 267452840 268065626 277872905 335544640 343933256 357256352 379584874 404627360 427924544 429916570 444596648 446570440 457734701 523054880 534905680 536131252 555745810 591705833 670164065 687866512 714512704 759169748 809254720 859833140 889193296 893140880 915469402 948962185 1046109760 1069811360 1072262504 1111491620 1183411666 1340328130 1375733024 1518339496 1719666280 1778386592 1786281760 1830938804 1897924370 2139622720 2144525008 2222983240 2278557821 2288673505 2366823332 2680656260 2751466048 2958529165 3036678992 3439332560 3556773184 3572563520 3661877608 3795848740 4289050016 4445966480 4557115642 4577347010 4733646664 5361312520 5917058330 6073357984 6878665120 7323755216 7591697480 7781489917 8578100032 8891932960 9114231284 9154694020 9467293328 10058999161 10722625040 11392789105 11834116660 12146715968 13757330240 14647510432 15183394960 15562979834 17783865920 18228462568 18309388040 18934586656 20117998322 21445250080 22785578210 23668233320 24259939153 29295020864 30366789920 31125959668 36456925136 36618776080 37869173312 38907449585 40235996644 42890500160 45571156420 47336466640 48519878306 50294995805 60733579840 62251919336 72913850272 73237552160 77814899170 80471993288 91142312840 94672933280 97039756612 100589991610 121299695765 124503838672 145827700544 146475104320 155629798340 160943986576 182284625680 189345866560 194079513224 201179983220 242599391530 249007677344 311259596680 321887973152 364569251360 388159026448 402359966440 412418965601 485198783060 498015354688 622519193360 643775946304 729138502720 776318052896 804719932880 824837931202 970397566120 1245038386720 1552636105792 1609439865760 1649675862404 1940795132240 2062094828005 2490076773440 3218879731520 3299351724808 3881590264480 4124189656010 6598703449616 7763180528960 8248379312020 13197406899232 16496758624040 26394813798464 32993517248080 65987034496160 131974068992320
- Sum of all divisors σ(n): 349221008066112
- Sum of proper divisors (its aliquot sum) s(n): 217246939073792
- 131974068992320 is an abundant number, because the sum of its proper divisors (217246939073792) is greater than itself. Its abundance is 85272870081472
Bases of 131974068992320
- Binary: 111100000000111100110111000000001111001010000002
- Hexadecimal: 0x78079B807940
- Base-36: 1AS41T7I9S
Squares and roots of 131974068992320
- 131974068992320 squared (1319740689923202) is 17417154886389639300218982400
- 131974068992320 cubed (1319740689923203) is 2298612800626309668364739268541703815168000
-
The
square root of 131974068992320 is 11487996.7353895081 -
The
cube root of 131974068992320 is 50913.0993508879
Scales and comparisons
How big is 131974068992320?- 131,974,068,992,320 seconds is equal to 4,196,367 years, 8 weeks, 6 days, 8 hours, 58 minutes, 40 seconds.
-
To count from 1 to 131,974,068,992,320 would take you about ten million, four hundred ninety thousand, nine hundred seventeen 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 131974068992320 cubic inches would be around 4242.8 feet tall.
Recreational maths with 131974068992320
- 131974068992320 backwards is 023299860479131
- 131974068992320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131974068992320's digits is 64
- More coming soon!
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The information we have on file for 131974068992320 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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