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42554144000 = 285337127283
BaseRepresentation
bin100111101000011011…
…001011010100000000
311001211200010111101102
4213220123023110000
51144122330102000
631314334553532
73034350153524
oct475033132400
9131750114342
1042554144000
1117057783255
1282b73688a8
13402228b384
1420b98b3d84
151190d5a3d5
hex9e86cb500

42554144000 has 288 divisors, whose sum is σ = 110117769216. Its totient is φ = 16373145600.

The previous prime is 42554143969. The next prime is 42554144041. The reversal of 42554144000 is 44145524.

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, 150367859 + ... + 150368141.

Almost surely, 242554144000 is an apocalyptic number.

42554144000 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 42554144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55058884608).

42554144000 is an abundant number, since it is smaller than the sum of its proper divisors (67563625216).

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

42554144000 is a wasteful number, since it uses less digits than its factorization.

42554144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 42554144000 its reverse (44145524), we get a palindrome (42598289524).

The spelling of 42554144000 in words is "forty-two billion, five hundred fifty-four million, one hundred forty-four thousand".