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1014443023440 = 2435711210746639
BaseRepresentation
bin11101100001100011000…
…01000001110001010000
310120222110021112000222010
432300301201001301100
5113110034403222230
62054010110342520
7133201562266050
oct16606141016120
93528407460863
101014443023440
1136124a705200
12144732abaa40
137487a600a62
14371566c3560
151b5c470a9b0
hexec31841c50

1014443023440 has 480 divisors, whose sum is σ = 3987464785920. Its totient is φ = 208818846720.

The previous prime is 1014443023423. The next prime is 1014443023441. The reversal of 1014443023440 is 443203444101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1014443023398 and 1014443023407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014443023441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21727641 + ... + 21774279.

It is an arithmetic number, because the mean of its divisors is an integer number (8307218304).

Almost surely, 21014443023440 is an apocalyptic number.

1014443023440 is a gapful number since it is divisible by the number (10) 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 1014443023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993732392960).

1014443023440 is an abundant number, since it is smaller than the sum of its proper divisors (2973021762480).

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

1014443023440 is a wasteful number, since it uses less digits than its factorization.

1014443023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46791 (or 46774 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1014443023440 its reverse (443203444101), we get a palindrome (1457646467541).

The spelling of 1014443023440 in words is "one trillion, fourteen billion, four hundred forty-three million, twenty-three thousand, four hundred forty".