Search a number
-
+
142345343232 = 2832149341381
BaseRepresentation
bin1000010010010001110…
…0011001000100000000
3111121102021212122211100
42010210130121010000
54313010401440412
6145220442414400
713166310311451
oct2044434310400
9447367778740
10142345343232
1155406265234
1223707201400
1310566751a61
146c64d01128
153a81a9cedc
hex2124719100

142345343232 has 108 divisors (see below), whose sum is σ = 410701535244. Its totient is φ = 47415521280.

The previous prime is 142345343221. The next prime is 142345343233. The reversal of 142345343232 is 232343543241.

142345343232 is a `hidden beast` number, since 1 + 42 + 3 + 45 + 343 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105536618496 + 36808724736 = 324864^2 + 191856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142345343233) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3419182 + ... + 3460562.

It is an arithmetic number, because the mean of its divisors is an integer number (3802791993).

Almost surely, 2142345343232 is an apocalyptic number.

142345343232 is a gapful number since it is divisible by the number (12) 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 142345343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205350767622).

142345343232 is an abundant number, since it is smaller than the sum of its proper divisors (268356192012).

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

142345343232 is a wasteful number, since it uses less digits than its factorization.

142345343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42896 (or 42879 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 142345343232 its reverse (232343543241), we get a palindrome (374688886473).

Subtracting 142345343232 from its reverse (232343543241), we obtain a square (89998200009 = 2999972).

The spelling of 142345343232 in words is "one hundred forty-two billion, three hundred forty-five million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1493 2304 2986 4479 5972 8958 11944 13437 17916 23888 26874 35832 41381 47776 53748 71664 82762 95552 107496 124143 143328 165524 191104 214992 248286 286656 331048 372429 382208 429984 496572 573312 662096 744858 859968 993144 1146624 1324192 1489716 1719936 1986288 2648384 2979432 3439872 3972576 5296768 5958864 7945152 10593536 11917728 15890304 23835456 31780608 47670912 61781833 95341824 123563666 185345499 247127332 370690998 494254664 556036497 741381996 988509328 1112072994 1482763992 1977018656 2224145988 2965527984 3954037312 4448291976 5931055968 7908074624 8896583952 11862111936 15816149248 17793167904 23724223872 35586335808 47448447744 71172671616 142345343232