Search a number
-
+
120343244040 = 23325829403241
BaseRepresentation
bin111000000010100000…
…1000010110100001000
3102111121221001012210200
41300011001002310020
53432430332302130
6131141313212200
711460134460615
oct1600501026410
9374557035720
10120343244040
1147045695488
121b3a6861060
13b46b346456
145b78b7550c
1531e51a7760
hex1c05042d08

120343244040 has 96 divisors (see below), whose sum is σ = 391588306200. Its totient is φ = 32052741120.

The previous prime is 120343243987. The next prime is 120343244051. The reversal of 120343244040 is 40442343021.

It is a happy number.

120343244040 is a `hidden beast` number, since 120 + 34 + 32 + 440 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120157903044 + 185340996 = 346638^2 + 13614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120343243995 and 120343244013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96820 + ... + 500060.

Almost surely, 2120343244040 is an apocalyptic number.

120343244040 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 120343244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195794153100).

120343244040 is an abundant number, since it is smaller than the sum of its proper divisors (271245062160).

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

120343244040 is a wasteful number, since it uses less digits than its factorization.

120343244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404087 (or 404080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 120343244040 its reverse (40442343021), we get a palindrome (160785587061).

The spelling of 120343244040 in words is "one hundred twenty billion, three hundred forty-three million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 829 1658 2487 3316 4145 4974 6632 7461 8290 9948 12435 14922 16580 19896 24870 29844 33160 37305 49740 59688 74610 99480 149220 298440 403241 806482 1209723 1612964 2016205 2419446 3225928 3629169 4032410 4838892 6048615 7258338 8064820 9677784 12097230 14516676 16129640 18145845 24194460 29033352 36291690 48388920 72583380 145166760 334286789 668573578 1002860367 1337147156 1671433945 2005720734 2674294312 3008581101 3342867890 4011441468 5014301835 6017162202 6685735780 8022882936 10028603670 12034324404 13371471560 15042905505 20057207340 24068648808 30085811010 40114414680 60171622020 120343244040