Search a number
-
+
1445344031142 = 23211171016476571
BaseRepresentation
bin10101000010000101001…
…101111011000110100110
312010011200111210020112200
4111002011031323012212
5142140031032444032
63023552030355330
7206264654362404
oct25020515730646
95104614706480
101445344031142
11507a70030aa0
121b414a95bb46
13a63abb9142b
144dd52830474
15278e3da847c
hex1508537b1a6

1445344031142 has 192 divisors, whose sum is σ = 3659241650688. Its totient is φ = 407445120000.

The previous prime is 1445344031129. The next prime is 1445344031143. The reversal of 1445344031142 is 2411304435441.

It is a happy number.

1445344031142 is a `hidden beast` number, since 1 + 4 + 4 + 534 + 4 + 0 + 3 + 114 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1445344031097 and 1445344031106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445344031143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219954717 + ... + 219961287.

It is an arithmetic number, because the mean of its divisors is an integer number (19058550264).

Almost surely, 21445344031142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445344031142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829620825344).

1445344031142 is an abundant number, since it is smaller than the sum of its proper divisors (2213897619546).

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

1445344031142 is a wasteful number, since it uses less digits than its factorization.

1445344031142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1445344031142 its reverse (2411304435441), we get a palindrome (3856648466583).

The spelling of 1445344031142 in words is "one trillion, four hundred forty-five billion, three hundred forty-four million, thirty-one thousand, one hundred forty-two".