Search a number
-
+
1142303440 = 245171137433
BaseRepresentation
bin100010000010110…
…0010101011010000
32221121110000201211
41010011202223100
54314412202230
6305203305504
740210263505
oct10405425320
92847400654
101142303440
11536889533
1227a67b294
13152872ac5
14ab9d14ac
156a44042a
hex44162ad0

1142303440 has 80 divisors (see below), whose sum is σ = 2837349648. Its totient is φ = 426180608.

The previous prime is 1142303429. The next prime is 1142303447. The reversal of 1142303440 is 443032411.

It can be written as a sum of positive squares in 8 ways, for example, as 280763536 + 861539904 = 16756^2 + 29352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142303447) 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 15 ways as a sum of consecutive naturals, for example, 149964 + ... + 157396.

Almost surely, 21142303440 is an apocalyptic number.

1142303440 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 1142303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418674824).

1142303440 is an abundant number, since it is smaller than the sum of its proper divisors (1695046208).

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

1142303440 is a wasteful number, since it uses less digits than its factorization.

1142303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1142303440 is about 33797.9798212852. The cubic root of 1142303440 is about 1045.3470425382.

Adding to 1142303440 its reverse (443032411), we get a palindrome (1585335851).

The spelling of 1142303440 in words is "one billion, one hundred forty-two million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 113 136 170 226 272 340 452 565 680 904 1130 1360 1808 1921 2260 3842 4520 7433 7684 9040 9605 14866 15368 19210 29732 30736 37165 38420 59464 74330 76840 118928 126361 148660 153680 252722 297320 505444 594640 631805 839929 1010888 1263610 1679858 2021776 2527220 3359716 4199645 5054440 6719432 8399290 10108880 13438864 14278793 16798580 28557586 33597160 57115172 67194320 71393965 114230344 142787930 228460688 285575860 571151720 1142303440