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434042452000 = 2553108510613
BaseRepresentation
bin1100101000011101111…
…00100011100000100000
31112111100011110010000101
412110032330203200200
524102404331431000
6531221340032144
743233655653133
oct6241674434040
91474304403011
10434042452000
11158092715453
1270153b32654
1331c12369771
141701745221a
15b455380e6a
hex650ef23820

434042452000 has 48 divisors (see below), whose sum is σ = 1066442314392. Its totient is φ = 173616979200.

The previous prime is 434042451971. The next prime is 434042452021. The reversal of 434042452000 is 254240434.

It can be written as a sum of positive squares in 4 ways, for example, as 117339132304 + 316703319696 = 342548^2 + 562764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 434042452000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54251307 + ... + 54259306.

Almost surely, 2434042452000 is an apocalyptic number.

434042452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434042452000 is an abundant number, since it is smaller than the sum of its proper divisors (632399862392).

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

434042452000 is a wasteful number, since it uses less digits than its factorization.

434042452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108510638 (or 108510620 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 434042452000 its reverse (254240434), we get a palindrome (434296692434).

The spelling of 434042452000 in words is "four hundred thirty-four billion, forty-two million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 108510613 217021226 434042452 542553065 868084904 1085106130 1736169808 2170212260 2712765325 3472339616 4340424520 5425530650 8680849040 10851061300 13563826625 17361698080 21702122600 27127653250 43404245200 54255306500 86808490400 108510613000 217021226000 434042452000