972390131680
972,390,131,680 is an even composite number composed of five prime numbers multiplied together.
972390131680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 972390131680:
25 × 5 × 112 × 41 × 1073
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 41 × 107 × 107 × 107)See below for interesting mathematical facts about the number 972390131680 from the Numbermatics database.
Names of 972390131680
- Cardinal: 972390131680 can be written as Nine hundred seventy-two billion, three hundred ninety million, one hundred thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 9.7239013168 × 1011
Factors of 972390131680
Divisors of 972390131680
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 107 110 121 160 164 176 205 214 220 242 328 352 410 428 440 451 484 535 605 656 820 856 880 902 968 1070 1177 1210 1312 1640 1712 1760 1804 1936 2140 2255 2354 2420 3280 3424 3608 3872 4280 4387 4510 4708 4840 4961 5885 6560 7216 8560 8774 9020 9416 9680 9922 11449 11770 12947 14432 17120 17548 18040 18832 19360 19844 21935 22898 23540 24805 25894 35096 36080 37664 39688 43870 45796 47080 48257 49610 51788 57245 64735 70192 72160 79376 87740 91592 94160 96514 99220 103576 114490 125939 129470 140384 158752 175480 183184 188320 193028 198440 207152 228980 241285 251878 258940 350960 366368 386056 396880 414304 457960 469409 482570 503756 517880 530827 629695 701920 772112 793760 915920 938818 965140 1007512 1035760 1061654 1225043 1259390 1385329 1544224 1831840 1877636 1930280 2015024 2071520 2123308 2347045 2450086 2518780 2654135 2770658 3755272 3860560 4030048 4246616 4694090 4900172 5037560 5163499 5308270 5541316 6125215 6926645 7510544 7721120 8493232 9388180 9800344 10075120 10326998 10616540 11082632 12250430 13475473 13853290 15021088 16986464 18776360 19600688 20150240 20653996 21233080 22165264 24500860 25817495 26950946 27706580 37552720 39201376 41307992 42466160 44330528 49001720 50226763 51634990 53901892 55413160 56798489 67377365 75105440 82615984 84932320 98003440 100453526 103269980 107803784 110826320 113596978 134754730 148230203 165231968 196006880 200907052 206539960 215607568 221652640 227193956 251133815 269509460 283992445 296460406 401814104 413079920 431215136 454387912 502267630 539018920 552494393 567984890 592920812 741151015 803628208 826159840 908775824 1004535260 1078037840 1104988786 1135969780 1185841624 1482302030 1607256416 1817551648 2009070520 2156075680 2209977572 2271939560 2371683248 2762471965 2964604060 4018141040 4419955144 4543879120 4743366496 5524943930 5929208120 6077438323 8036282080 8839910288 9087758240 11049887860 11858416240 12154876646 17679820576 22099775720 23716832480 24309753292 30387191615 44199551440 48619506584 60774383230 88399102880 97239013168 121548766460 194478026336 243097532920 486195065840 972390131680
- Sum of all divisors σ(n): 2611090792800
- Sum of proper divisors (its aliquot sum) s(n): 1638700661120
- 972390131680 is an abundant number, because the sum of its proper divisors (1638700661120) is greater than itself. Its abundance is 666310529440
Bases of 972390131680
- Binary: 11100010011001101111011111100111111000002
- Hexadecimal: 0xE266F7E7E0
- Base-36: CEPJZ7J4
Squares and roots of 972390131680
- 972390131680 squared (9723901316802) is 945542568188647739622400
- 972390131680 cubed (9723901316803) is 919436262390004554612559889477632000
-
The
square root of 972390131680 is 986098.4391428679 -
The
cube root of 972390131680 is 9907.1068640879
Scales and comparisons
How big is 972390131680?- 972,390,131,680 seconds is equal to 30,918 years, 51 weeks, 6 days, 9 hours, 54 minutes, 40 seconds.
-
To count from 1 to 972,390,131,680 would take you about sixty-one thousand, eight hundred thirty-seven 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 972390131680 cubic inches would be around 825.6 feet tall.
Recreational maths with 972390131680
- 972390131680 backwards is 086131093279
- The number of decimal digits it has is: 12
- The sum of 972390131680's digits is 49
- More coming soon!
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