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423413314324 = 2271113734992903
BaseRepresentation
bin1100010100101010110…
…01100111001100010100
31111110220101211222020121
412022111121213030110
523414122302024244
6522302520441324
742406401534430
oct6122531471424
91443811758217
10423413314324
11153628860a50
126a088319244
1330c0a2210a0
14166c991d9c0
15b03214bc84
hex6295667314

423413314324 has 192 divisors, whose sum is σ = 1010870784000. Its totient is φ = 149837921280.

The previous prime is 423413314321. The next prime is 423413314349.

423413314324 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 423413314324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423413314321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145852257 + ... + 145855159.

It is an arithmetic number, because the mean of its divisors is an integer number (5264952000).

Almost surely, 2423413314324 is an apocalyptic number.

423413314324 is a gapful number since it is divisible by the number (44) 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 423413314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505435392000).

423413314324 is an abundant number, since it is smaller than the sum of its proper divisors (587457469676).

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

423413314324 is a wasteful number, since it uses less digits than its factorization.

423413314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3508 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 423413 and 314324, that added together give a palindrome (737737).

The spelling of 423413314324 in words is "four hundred twenty-three billion, four hundred thirteen million, three hundred fourteen thousand, three hundred twenty-four".