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432042242130 = 232523208716059
BaseRepresentation
bin1100100100101111011…
…10010111000001010010
31112022011202200220220100
412102113232113001102
524034310303222010
6530251044353230
743133260315362
oct6222756270122
91468152626810
10432042242130
11157256645144
126b8960a5816
1331983b4aa25
1416ca79409a2
15b38997b2c0
hex6497b97052

432042242130 has 48 divisors (see below), whose sum is σ = 1172149392960. Its totient is φ = 110202078624.

The previous prime is 432042242117. The next prime is 432042242141. The reversal of 432042242130 is 31242240234.

432042242130 is a `hidden beast` number, since 4 + 3 + 20 + 422 + 4 + 213 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 432042242094 and 432042242103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104355960 + ... + 104360099.

It is an arithmetic number, because the mean of its divisors is an integer number (24419779020).

Almost surely, 2432042242130 is an apocalyptic number.

432042242130 is an abundant number, since it is smaller than the sum of its proper divisors (740107150830).

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

432042242130 is a wasteful number, since it uses less digits than its factorization.

432042242130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208716095 (or 208716092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 432042242130 its reverse (31242240234), we get a palindrome (463284482364).

The spelling of 432042242130 in words is "four hundred thirty-two billion, forty-two million, two hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 208716059 417432118 626148177 1043580295 1252296354 1878444531 2087160590 3130740885 3756889062 4800469357 6261481770 9392222655 9600938714 14401408071 18784445310 24002346785 28802816142 43204224213 48004693570 72007040355 86408448426 144014080710 216021121065 432042242130