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434201023140 = 223568443105733
BaseRepresentation
bin1100101000110000110…
…01011101001010100100
31112111202012211100201120
412110120121131022210
524103220430220030
6531245202453540
743240622541513
oct6243031351244
91474665740646
10434201023140
11158164181285
12701990642b0
1331c39179a41
141703052c67a
15b464255010
hex651865d2a4

434201023140 has 48 divisors (see below), whose sum is σ = 1215792126528. Its totient is φ = 115784152704.

The previous prime is 434201023129. The next prime is 434201023147. The reversal of 434201023140 is 41320102434.

It is a self number, because there is not a number n which added to its sum of digits gives 434201023140.

It is not an unprimeable number, because it can be changed into a prime (434201023147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4053714 + ... + 4159446.

It is an arithmetic number, because the mean of its divisors is an integer number (25329002636).

Almost surely, 2434201023140 is an apocalyptic number.

It is an amenable number.

434201023140 is an abundant number, since it is smaller than the sum of its proper divisors (781591103388).

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

434201023140 is a wasteful number, since it uses less digits than its factorization.

434201023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174188 (or 174186 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434201023140 its reverse (41320102434), we get a palindrome (475521125574).

The spelling of 434201023140 in words is "four hundred thirty-four billion, two hundred one million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 68443 105733 136886 205329 211466 273772 317199 342215 410658 422932 528665 634398 684430 821316 1026645 1057330 1268796 1368860 1585995 2053290 2114660 3171990 4106580 6343980 7236683719 14473367438 21710051157 28946734876 36183418595 43420102314 72366837190 86840204628 108550255785 144733674380 217100511570 434201023140