Search a number
-
+
323414040000 = 2635423373167
BaseRepresentation
bin1001011010011001111…
…10101001110111000000
31010220210021120111102210
410231030332221313000
520244322443240000
6404324021142120
732236333660542
oct4551476516700
91126707514383
10323414040000
11115182881087
125281a85a940
1324661906a4c
1411920a0b692
15862d007350
hex4b4cfa9dc0

323414040000 has 560 divisors, whose sum is σ = 1146290669568. Its totient is φ = 80239104000.

The previous prime is 323414039987. The next prime is 323414040007. The reversal of 323414040000 is 40414323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323414040007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102118417 + ... + 102121583.

Almost surely, 2323414040000 is an apocalyptic number.

323414040000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323414040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573145334784).

323414040000 is an abundant number, since it is smaller than the sum of its proper divisors (822876629568).

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

323414040000 is a wasteful number, since it uses less digits than its factorization.

323414040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 323414040000 its reverse (40414323), we get a palindrome (323454454323).

The spelling of 323414040000 in words is "three hundred twenty-three billion, four hundred fourteen million, forty thousand".