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120343431040 = 275742196367
BaseRepresentation
bin111000000010100000…
…1110000011110000000
3102111121221101201022121
41300011001300132000
53432430404243130
6131141321214024
711460136200040
oct1600501603600
9374557351277
10120343431040
1147045802a28
121b3a6931314
13b46b3b05c1
145b78bc3720
1531e51e2d7a
hex1c05070780

120343431040 has 128 divisors (see below), whose sum is σ = 328925030400. Its totient is φ = 41244346368.

The previous prime is 120343430947. The next prime is 120343431059. The reversal of 120343431040 is 40134343021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 120343430996 and 120343431014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18897937 + ... + 18904303.

It is an arithmetic number, because the mean of its divisors is an integer number (2569726800).

Almost surely, 2120343431040 is an apocalyptic number.

120343431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120343431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164462515200).

120343431040 is an abundant number, since it is smaller than the sum of its proper divisors (208581599360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120343431040 is an equidigital number, since it uses as much as digits as its factorization.

120343431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 120343431040 its reverse (40134343021), we get a palindrome (160477774061).

The spelling of 120343431040 in words is "one hundred twenty billion, three hundred forty-three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4219 4480 6367 8438 12734 16876 21095 25468 29533 31835 33752 42190 44569 50936 59066 63670 67504 84380 89138 101872 118132 127340 135008 147665 168760 178276 203744 222845 236264 254680 270016 295330 337520 356552 407488 445690 472528 509360 540032 590660 675040 713104 814976 891380 945056 1018720 1181320 1350080 1426208 1782760 1890112 2037440 2362640 2700160 2852416 3565520 3780224 4074880 4725280 5704832 7131040 9450560 14262080 18901120 26862373 28524160 53724746 107449492 134311865 188036611 214898984 268623730 376073222 429797968 537247460 752146444 859595936 940183055 1074494920 1504292888 1719191872 1880366110 2148989840 3008585776 3438383744 3760732220 4297979680 6017171552 7521464440 8595959360 12034343104 15042928880 17191918720 24068686208 30085857760 60171715520 120343431040