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1043142324224 = 212711213101229
BaseRepresentation
bin11110010111000000010…
…00001011000000000000
310200201112101022120110012
433023200020023000000
5114042323413333344
62115114000124052
7135236016312650
oct17134010130000
93621471276405
101043142324224
11372437713700
1214a202306628
13774a2374840
14386ba0a8360
151c20405729e
hexf2e020b000

1043142324224 has 624 divisors, whose sum is σ = 2862428170560. Its totient is φ = 369819648000.

The previous prime is 1043142324223. The next prime is 1043142324251. The reversal of 1043142324224 is 4224232413401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043142324223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4555206542 + ... + 4555206770.

Almost surely, 21043142324224 is an apocalyptic number.

1043142324224 is a gapful number since it is divisible by the number (14) 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 1043142324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431214085280).

1043142324224 is an abundant number, since it is smaller than the sum of its proper divisors (1819285846336).

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

1043142324224 is a wasteful number, since it uses less digits than its factorization.

1043142324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1043142324224 its reverse (4224232413401), we get a palindrome (5267374737625).

The spelling of 1043142324224 in words is "one trillion, forty-three billion, one hundred forty-two million, three hundred twenty-four thousand, two hundred twenty-four".