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1412411000 = 2353711131783
BaseRepresentation
bin101010000101111…
…1010111001111000
310122102200220122112
41110023322321320
510343034123000
6352052511452
750000203220
oct12413727170
93572626575
101412411000
116652a6320
1233501b588
13196805870
14d5823080
1583ee7235
hex542fae78

1412411000 has 512 divisors, whose sum is σ = 4755179520. Its totient is φ = 377856000.

The previous prime is 1412410997. The next prime is 1412411047. The reversal of 1412411000 is 1142141.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 17016959 + ... + 17017041.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 21412411000 is an apocalyptic number.

1412411000 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 1412411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1412411000 is an abundant number, since it is smaller than the sum of its proper divisors (3342768520).

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

1412411000 is a wasteful number, since it uses less digits than its factorization.

1412411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1412411000 is about 37582.0568888931. The cubic root of 1412411000 is about 1121.9849473124.

Adding to 1412411000 its reverse (1142141), we get a palindrome (1413553141).

It can be divided in two parts, 141241 and 1000, that added together give a palindrome (142241).

The spelling of 1412411000 in words is "one billion, four hundred twelve million, four hundred eleven thousand".