Search a number
-
+
412242023340 = 223257677961813
BaseRepresentation
bin1011111111110111000…
…10100001001110101100
31110102001212002120221200
411333323202201032230
523223232424221330
6513214213125500
741532512245110
oct5777342411654
91412055076850
10412242023340
11149915969764
1267a8b029890
132cb49981934
1415d49dc1740
15aacb524a60
hex5ffb8a13ac

412242023340 has 288 divisors, whose sum is σ = 1468819322880. Its totient is φ = 91643954688.

The previous prime is 412242023339. The next prime is 412242023353. The reversal of 412242023340 is 43320242214.

412242023340 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 420 + 233 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6638274 + ... + 6700086.

Almost surely, 2412242023340 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 412242023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734409661440).

412242023340 is an abundant number, since it is smaller than the sum of its proper divisors (1056577299540).

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

412242023340 is a wasteful number, since it uses less digits than its factorization.

412242023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61981 (or 61976 counting only the distinct ones).

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

Adding to 412242023340 its reverse (43320242214), we get a palindrome (455562265554).

It can be divided in two parts, 4122420 and 23340, that added together give a triangular number (4145760 = T2879).

The spelling of 412242023340 in words is "four hundred twelve billion, two hundred forty-two million, twenty-three thousand, three hundred forty".