Search a number
-
+
432424144100 = 2252131087306011
BaseRepresentation
bin1100100101011100111…
…11001100110011100100
31112100011101022112220202
412102232133030303210
524041101040102400
6530353010050032
743145605402244
oct6225637146344
91470141275822
10432424144100
11157432179803
126b981b79918
1331a14cc3820
1416d02553b24
15b3ad2674d5
hex64ae7ccce4

432424144100 has 72 divisors (see below), whose sum is σ = 1011474928128. Its totient is φ = 159516892800.

The previous prime is 432424144091. The next prime is 432424144111. The reversal of 432424144100 is 1441424234.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260095 + ... + 1566105.

Almost surely, 2432424144100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432424144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505737464064).

432424144100 is an abundant number, since it is smaller than the sum of its proper divisors (579050784028).

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

432424144100 is a wasteful number, since it uses less digits than its factorization.

432424144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307125 (or 307118 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 432424144100 its reverse (1441424234), we get a palindrome (433865568334).

The spelling of 432424144100 in words is "four hundred thirty-two billion, four hundred twenty-four million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1087 1300 2174 4348 5435 10870 14131 21740 27175 28262 54350 56524 70655 108700 141310 282620 306011 353275 612022 706550 1224044 1413100 1530055 3060110 3978143 6120220 7650275 7956286 15300550 15912572 19890715 30601100 39781430 79562860 99453575 198907150 332633957 397814300 665267914 1330535828 1663169785 3326339570 4324241441 6652679140 8315848925 8648482882 16631697850 17296965764 21621207205 33263395700 43242414410 86484828820 108106036025 216212072050 432424144100