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23143124400 = 243521123312459
BaseRepresentation
bin10101100011011100…
…000000110110110000
32012201212212112100120
4111203130000312300
5334344114440100
614344245250240
71446336211614
oct254334006660
965655775316
1023143124400
1198a67659a0
12459a703980
13224a921666
141197907344
15906b820a0
hex563700db0

23143124400 has 480 divisors, whose sum is σ = 87148707840. Its totient is φ = 5191296000.

The previous prime is 23143124383. The next prime is 23143124419. The reversal of 23143124400 is 442134132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9410371 + ... + 9412829.

It is an arithmetic number, because the mean of its divisors is an integer number (181559808).

Almost surely, 223143124400 is an apocalyptic number.

23143124400 is a gapful number since it is divisible by the number (20) 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 23143124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43574353920).

23143124400 is an abundant number, since it is smaller than the sum of its proper divisors (64005583440).

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

23143124400 is a wasteful number, since it uses less digits than its factorization.

23143124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23143124400 its reverse (442134132), we get a palindrome (23585258532).

The spelling of 23143124400 in words is "twenty-three billion, one hundred forty-three million, one hundred twenty-four thousand, four hundred".