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1003144122040 = 235166715044153
BaseRepresentation
bin11101001100100000000…
…11001000111010111000
310112220021211122101002111
432212100003020322320
5112413414343401130
62044501003542104
7132321563230414
oct16462003107270
93486254571074
101003144122040
11357481783365
121424bab2a934
13737997a1698
14367a3c47d44
151b1627c802a
hexe9900c8eb8

1003144122040 has 32 divisors (see below), whose sum is σ = 2258428398480. Its totient is φ = 401016915712.

The previous prime is 1003144122037. The next prime is 1003144122049. The reversal of 1003144122040 is 402214413001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003144122049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7455397 + ... + 7588756.

Almost surely, 21003144122040 is an apocalyptic number.

1003144122040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003144122040 is an abundant number, since it is smaller than the sum of its proper divisors (1255284276440).

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

1003144122040 is a wasteful number, since it uses less digits than its factorization.

1003144122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15045831 (or 15045827 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1003144122040 its reverse (402214413001), we get a palindrome (1405358535041).

The spelling of 1003144122040 in words is "one trillion, three billion, one hundred forty-four million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1667 3334 6668 8335 13336 16670 33340 66680 15044153 30088306 60176612 75220765 120353224 150441530 300883060 601766120 25078603051 50157206102 100314412204 125393015255 200628824408 250786030510 501572061020 1003144122040