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42051544000 = 265323449509
BaseRepresentation
bin100111001010011101…
…111010001111000000
311000112122101202210121
4213022131322033000
51142110143402000
631152422310024
73016035140434
oct471235721700
9130478352717
1042051544000
111691a000454
128196b88314
133c72105a1b
14206cc429c4
151161b7bb1a
hex9ca77a3c0

42051544000 has 224 divisors, whose sum is σ = 109124496000. Its totient is φ = 16021913600.

The previous prime is 42051543991. The next prime is 42051544019. The reversal of 42051544000 is 44515024.

It is a happy number.

42051544000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82615746 + ... + 82616254.

Almost surely, 242051544000 is an apocalyptic number.

42051544000 is a gapful number since it is divisible by the number (40) 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 42051544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54562248000).

42051544000 is an abundant number, since it is smaller than the sum of its proper divisors (67072952000).

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

42051544000 is a wasteful number, since it uses less digits than its factorization.

42051544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 42051544000 in words is "forty-two billion, fifty-one million, five hundred forty-four thousand".