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434423000000 = 26561173541
BaseRepresentation
bin1100101001001011010…
…00001110101111000000
31112112022200111221201202
412110211220032233000
524104144242000000
6531323212320332
743246256400413
oct6244550165700
91475280457652
10434423000000
11158268504830
127023b4730a8
1331c7315a1b2
1417051bd1b7a
15b4789a0dd5
hex6525a0ebc0

434423000000 has 392 divisors, whose sum is σ = 1193824406352. Its totient is φ = 155520000000.

The previous prime is 434422999973. The next prime is 434423000027. The reversal of 434423000000 is 324434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434422999973) and next prime (434423000027).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 802999730 + ... + 803000270.

Almost surely, 2434423000000 is an apocalyptic number.

434423000000 is a gapful number since it is divisible by the number (40) 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 434423000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596912203176).

434423000000 is an abundant number, since it is smaller than the sum of its proper divisors (759401406352).

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

434423000000 is an frugal number, since it uses more digits than its factorization.

434423000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 434423000000 its reverse (324434), we get a palindrome (434423324434).

The spelling of 434423000000 in words is "four hundred thirty-four billion, four hundred twenty-three million", and thus it is an aban number.