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23441454000 = 2433532914969
BaseRepresentation
bin10101110101001110…
…000011001110110000
32020111200020020122000
4111311032003032300
5341002003012000
614434023414000
71456621033326
oct256516031660
966450206560
1023441454000
119a3a0a9388
1246625b4300
132297686053
1411c53a3d16
15922e61000
hex5753833b0

23441454000 has 320 divisors, whose sum is σ = 86873904000. Its totient is φ = 6035097600.

The previous prime is 23441453977. The next prime is 23441454053. The reversal of 23441454000 is 45414432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1558516 + ... + 1573484.

It is an arithmetic number, because the mean of its divisors is an integer number (271480950).

Almost surely, 223441454000 is an apocalyptic number.

23441454000 is a gapful number since it is divisible by the number (20) 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 23441454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436952000).

23441454000 is an abundant number, since it is smaller than the sum of its proper divisors (63432450000).

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

23441454000 is a wasteful number, since it uses less digits than its factorization.

23441454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15030 (or 15008 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 23441454000 its reverse (45414432), we get a palindrome (23486868432).

The spelling of 23441454000 in words is "twenty-three billion, four hundred forty-one million, four hundred fifty-four thousand".