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1490310252000 = 2535535472803
BaseRepresentation
bin10101101011111101011…
…010011100010111100000
312021110202021122221100000
4111223331122130113200
5143404123411031000
63100350012500000
7212446164062253
oct25537532342740
95243667587300
101490310252000
11525045315299
122009b9a7a600
13aa6c6aa63cb
14521ba7c909a
1528b76873000
hex15afd69c5e0

1490310252000 has 576 divisors, whose sum is σ = 5496991928064. Its totient is φ = 396548006400.

The previous prime is 1490310251887. The next prime is 1490310252007. The reversal of 1490310252000 is 2520130941.

1490310252000 is a `hidden beast` number, since 14 + 90 + 310 + 252 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490310252007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531682599 + ... + 531685401.

It is an arithmetic number, because the mean of its divisors is an integer number (9543388764).

Almost surely, 21490310252000 is an apocalyptic number.

1490310252000 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 1490310252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748495964032).

1490310252000 is an abundant number, since it is smaller than the sum of its proper divisors (4006681676064).

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

1490310252000 is an equidigital number, since it uses as much as digits as its factorization.

1490310252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1490310252000 its reverse (2520130941), we get a palindrome (1492830382941).

The spelling of 1490310252000 in words is "one trillion, four hundred ninety billion, three hundred ten million, two hundred fifty-two thousand".