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432005134134 = 23771571125367
BaseRepresentation
bin1100100100101011000…
…00110011011100110110
31112022002011212122022010
412102111200303130312
524034221303243014
6530243241145050
743132330023660
oct6222540633466
91468064778263
10432005134134
111572376aa382
126b88578b186
1331979257632
1416ca2a41530
15b38659b359
hex6495833736

432005134134 has 64 divisors (see below), whose sum is σ = 1001562734592. Its totient is φ = 121665482400.

The previous prime is 432005134123. The next prime is 432005134163. The reversal of 432005134134 is 431431500234.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17017519 + ... + 17042885.

It is an arithmetic number, because the mean of its divisors is an integer number (15649417728).

Almost surely, 2432005134134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432005134134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500781367296).

432005134134 is an abundant number, since it is smaller than the sum of its proper divisors (569557600458).

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

432005134134 is a wasteful number, since it uses less digits than its factorization.

432005134134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31161.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 432005134134 its reverse (431431500234), we get a palindrome (863436634368).

The spelling of 432005134134 in words is "four hundred thirty-two billion, five million, one hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 5711 11422 17133 25367 34266 39977 50734 76101 79954 119931 152202 177569 239862 355138 405481 532707 810962 1065414 1216443 1801057 2432886 2838367 3602114 5403171 5676734 8515101 10806342 12607399 17030202 25214798 37822197 75644394 144870937 289741874 434612811 869225622 1014096559 2028193118 3042289677 6084579354 10285836527 20571673054 30857509581 61715019162 72000855689 144001711378 216002567067 432005134134