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1004301412000 = 2553251075353
BaseRepresentation
bin11101001110101010000…
…01110110011010100000
310120000021111021210110121
432213111001312122200
5112423302130141000
62045211504410024
7132362345102545
oct16472501663240
93500244253417
101004301412000
11357a15a68447
12142782616914
1373922490943
143687381abcc
151b1ce1c8b1a
hexe9d50766a0

1004301412000 has 48 divisors (see below), whose sum is σ = 2467568579112. Its totient is φ = 401720563200.

The previous prime is 1004301411991. The next prime is 1004301412001. The reversal of 1004301412000 is 2141034001.

It can be written as a sum of positive squares in 4 ways, for example, as 596731530256 + 407569881744 = 772484^2 + 638412^2 .

It is a super-2 number, since 2×10043014120002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1004301412001) 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 7 ways as a sum of consecutive naturals, for example, 125533677 + ... + 125541676.

Almost surely, 21004301412000 is an apocalyptic number.

1004301412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004301412000 is an abundant number, since it is smaller than the sum of its proper divisors (1463267167112).

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

1004301412000 is an equidigital number, since it uses as much as digits as its factorization.

1004301412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251075378 (or 251075360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1004301412000 its reverse (2141034001), we get a palindrome (1006442446001).

The spelling of 1004301412000 in words is "one trillion, four billion, three hundred one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 251075353 502150706 1004301412 1255376765 2008602824 2510753530 4017205648 5021507060 6276883825 8034411296 10043014120 12553767650 20086028240 25107535300 31384419125 40172056480 50215070600 62768838250 100430141200 125537676500 200860282400 251075353000 502150706000 1004301412000