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42005425200 = 2435235004521
BaseRepresentation
bin100111000111101101…
…111110110000110000
311000102102121200200220
4213013231332300300
51142011342101300
631144054013040
73014635136334
oct470755766060
9130372550626
1042005425200
11168a5a70742
128183647180
133c656a90ab
142066a797c4
15115cabbda0
hex9c7b7ec30

42005425200 has 60 divisors (see below), whose sum is σ = 134557382568. Its totient is φ = 11201446400.

The previous prime is 42005425151. The next prime is 42005425211. The reversal of 42005425200 is 252450024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 17501061 + ... + 17503460.

Almost surely, 242005425200 is an apocalyptic number.

42005425200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42005425200 is an abundant number, since it is smaller than the sum of its proper divisors (92551957368).

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

42005425200 is a wasteful number, since it uses less digits than its factorization.

42005425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35004542 (or 35004531 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 42005425200 its reverse (252450024), we get a palindrome (42257875224).

The spelling of 42005425200 in words is "forty-two billion, five million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 35004521 70009042 105013563 140018084 175022605 210027126 280036168 350045210 420054252 525067815 560072336 700090420 840108504 875113025 1050135630 1400180840 1680217008 1750226050 2100271260 2625339075 2800361680 3500452100 4200542520 5250678150 7000904200 8401085040 10501356300 14001808400 21002712600 42005425200