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1243045440 = 263457131731
BaseRepresentation
bin100101000010111…
…0101111001000000
310012122000020210000
41022011311321000
510021204423230
6323202440000
742542466120
oct11205657100
93178006700
101243045440
1158873748a
122a8363000
1316a6b6260
14bb136c80
15741deb60
hex4a175e40

1243045440 has 1120 divisors, whose sum is σ = 5948135424. Its totient is φ = 238878720.

The previous prime is 1243045367. The next prime is 1243045477. The reversal of 1243045440 is 445403421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40098225 + ... + 40098255.

Almost surely, 21243045440 is an apocalyptic number.

1243045440 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 1243045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974067712).

1243045440 is an abundant number, since it is smaller than the sum of its proper divisors (4705089984).

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

1243045440 is a wasteful number, since it uses less digits than its factorization.

1243045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

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

The square root of 1243045440 is about 35256.8495472866. The cubic root of 1243045440 is about 1075.2158758817.

Adding to 1243045440 its reverse (445403421), we get a palindrome (1688448861).

The spelling of 1243045440 in words is "one billion, two hundred forty-three million, forty-five thousand, four hundred forty".