Search a number
-
+
1031330144 = 25133836473
BaseRepresentation
bin111101011110001…
…101100101100000
32122212121222222202
4331132031211200
54103010031034
6250200552332
734362106265
oct7536154540
92585558882
101031330144
1148a182669
122494826a8
13135889730
149ad8526c
156081e47e
hex3d78d960

1031330144 has 48 divisors (see below), whose sum is σ = 2192666112. Its totient is φ = 474682368.

The previous prime is 1031330141. The next prime is 1031330149. The reversal of 1031330144 is 4410331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031330141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156092 + ... + 162564.

It is an arithmetic number, because the mean of its divisors is an integer number (45680544).

Almost surely, 21031330144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096333056).

1031330144 is an abundant number, since it is smaller than the sum of its proper divisors (1161335968).

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

1031330144 is a wasteful number, since it uses less digits than its factorization.

1031330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1031330144 is about 32114.3292628073. The cubic root of 1031330144 is about 1010.3361766909.

Adding to 1031330144 its reverse (4410331301), we get a palindrome (5441661445).

The spelling of 1031330144 in words is "one billion, thirty-one million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 383 416 766 1532 3064 4979 6128 6473 9958 12256 12946 19916 25892 39832 51784 79664 84149 103568 159328 168298 207136 336596 673192 1346384 2479159 2692768 4958318 9916636 19833272 32229067 39666544 64458134 79333088 128916268 257832536 515665072 1031330144