Search a number
-
+
120342431400 = 233521271579297
BaseRepresentation
bin111000000010011110…
…1111100011010101000
3102111121212111221001220
41300010331330122220
53432430130301100
6131141243542040
711460124534452
oct1600475743250
9374555457056
10120342431400
114704518a984
121b3a652a920
13b46b1205b9
145b78a032d2
1531e5096aa0
hex1c04f7c6a8

120342431400 has 96 divisors (see below), whose sum is σ = 375999267840. Its totient is φ = 31838607360.

The previous prime is 120342431381. The next prime is 120342431413. The reversal of 120342431400 is 4134243021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713449 + ... + 865848.

It is an arithmetic number, because the mean of its divisors is an integer number (3916659040).

Almost surely, 2120342431400 is an apocalyptic number.

120342431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120342431400 is an abundant number, since it is smaller than the sum of its proper divisors (255656836440).

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

120342431400 is a wasteful number, since it uses less digits than its factorization.

120342431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579443 (or 1579434 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120342431400 its reverse (4134243021), we get a palindrome (124476674421).

The spelling of 120342431400 in words is "one hundred twenty billion, three hundred forty-two million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1905 2540 3048 3175 3810 5080 6350 7620 9525 12700 15240 19050 25400 38100 76200 1579297 3158594 4737891 6317188 7896485 9475782 12634376 15792970 18951564 23689455 31585940 37903128 39482425 47378910 63171880 78964850 94757820 118447275 157929700 189515640 200570719 236894550 315859400 401141438 473789100 601712157 802282876 947578200 1002853595 1203424314 1604565752 2005707190 2406848628 3008560785 4011414380 4813697256 5014267975 6017121570 8022828760 10028535950 12034243140 15042803925 20057071900 24068486280 30085607850 40114143800 60171215700 120342431400