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423236844144 = 24351929316373
BaseRepresentation
bin1100010100010101110…
…00011011101001110000
31111110110002210100200000
412022022320123221300
523413242113003034
6522233214230000
742402126550212
oct6121270335160
91443402710600
10423236844144
1115354818a324
126a0391b5300
1330bac7b4a6a
14166b03045b2
15b0218de599
hex628ae1ba70

423236844144 has 480 divisors, whose sum is σ = 1380944947200. Its totient is φ = 124862653440.

The previous prime is 423236844119. The next prime is 423236844157. The reversal of 423236844144 is 441448632324.

423236844144 is a `hidden beast` number, since 4 + 232 + 368 + 44 + 14 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 423236844144.

It is a congruent number.

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, 66407742 + ... + 66414114.

It is an arithmetic number, because the mean of its divisors is an integer number (2876968640).

Almost surely, 2423236844144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423236844144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690472473600).

423236844144 is an abundant number, since it is smaller than the sum of its proper divisors (957708103056).

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

423236844144 is a wasteful number, since it uses less digits than its factorization.

423236844144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6457 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 423236844144 in words is "four hundred twenty-three billion, two hundred thirty-six million, eight hundred forty-four thousand, one hundred forty-four".