Search a number
-
+
412121432232 = 23325723908781
BaseRepresentation
bin1011111111101000101…
…10100000000010101000
31110101202110011221001100
411333310112200002220
523223011041312412
6513154224321400
741526516242406
oct5776426400250
91411673157040
10412121432232
11149863893894
1267a56773260
132cb2a9ab953
1415d37d90476
15aac0b53edc
hex5ff45a00a8

412121432232 has 24 divisors (see below), whose sum is σ = 1116162212490. Its totient is φ = 137373810720.

The previous prime is 412121432231. The next prime is 412121432237. The reversal of 412121432232 is 232234121214.

412121432232 is a `hidden beast` number, since 4 + 121 + 214 + 322 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 411386263236 + 735168996 = 641394^2 + 27114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412121432196 and 412121432205.

It is not an unprimeable number, because it can be changed into a prime (412121432231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2861954319 + ... + 2861954462.

Almost surely, 2412121432232 is an apocalyptic number.

It is an amenable number.

412121432232 is an abundant number, since it is smaller than the sum of its proper divisors (704040780258).

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

412121432232 is a wasteful number, since it uses less digits than its factorization.

412121432232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723908793 (or 5723908786 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 412121432232 its reverse (232234121214), we get a palindrome (644355553446).

The spelling of 412121432232 in words is "four hundred twelve billion, one hundred twenty-one million, four hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5723908781 11447817562 17171726343 22895635124 34343452686 45791270248 51515179029 68686905372 103030358058 137373810744 206060716116 412121432232