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1255430510400 = 263521131839241
BaseRepresentation
bin10010010001001101011…
…111010101011101000000
311110000111002222210102010
4102101031133111131000
5131032110202313100
62400423052452520
7156462511160433
oct22211537253500
94400432883363
101255430510400
11444474880a70
1218338917a140
139150444aca1
1444a9818381a
15229cb1c5750
hex1244d7d5740

1255430510400 has 672 divisors, whose sum is σ = 4694635524096. Its totient is φ = 290949120000.

The previous prime is 1255430510381. The next prime is 1255430510419. The reversal of 1255430510400 is 40150345521.

It is an interprime number because it is at equal distance from previous prime (1255430510381) and next prime (1255430510419).

It is a super-2 number, since 2×12554305104002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 135849780 + ... + 135859020.

It is an arithmetic number, because the mean of its divisors is an integer number (6986064768).

Almost surely, 21255430510400 is an apocalyptic number.

1255430510400 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 1255430510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347317762048).

1255430510400 is an abundant number, since it is smaller than the sum of its proper divisors (3439205013696).

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

1255430510400 is a wasteful number, since it uses less digits than its factorization.

1255430510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1255430510400 its reverse (40150345521), we get a palindrome (1295580855921).

The spelling of 1255430510400 in words is "one trillion, two hundred fifty-five billion, four hundred thirty million, five hundred ten thousand, four hundred".