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42054230000 = 245433712479
BaseRepresentation
bin100111001010101000…
…001001111111110000
311000112211110020022002
4213022220021333300
51142111340330000
631153000033132
73016100025356
oct471250117760
9130484406262
1042054230000
1116920575492
128197a627a8
133c72836483
14206d3417d6
15116200c8d5
hex9caa09ff0

42054230000 has 100 divisors (see below), whose sum is σ = 102127808640. Its totient is φ = 16770432000.

The previous prime is 42054229999. The next prime is 42054230003. The reversal of 42054230000 is 3245024.

42054230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42054230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3363761 + ... + 3376239.

Almost surely, 242054230000 is an apocalyptic number.

42054230000 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 42054230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51063904320).

42054230000 is an abundant number, since it is smaller than the sum of its proper divisors (60073578640).

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

42054230000 is a wasteful number, since it uses less digits than its factorization.

42054230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12844 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 42054230000 its reverse (3245024), we get a palindrome (42057475024).

The spelling of 42054230000 in words is "forty-two billion, fifty-four million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 337 400 500 625 674 1000 1250 1348 1685 2000 2500 2696 3370 5000 5392 6740 8425 10000 12479 13480 16850 24958 26960 33700 42125 49916 62395 67400 84250 99832 124790 134800 168500 199664 210625 249580 311975 337000 421250 499160 623950 674000 842500 998320 1247900 1559875 1685000 2495800 3119750 3370000 4205423 4991600 6239500 7799375 8410846 12479000 15598750 16821692 21027115 24958000 31197500 33643384 42054230 62395000 67286768 84108460 105135575 124790000 168216920 210271150 336433840 420542300 525677875 841084600 1051355750 1682169200 2102711500 2628389375 4205423000 5256778750 8410846000 10513557500 21027115000 42054230000