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1014453440 = 265711133167
BaseRepresentation
bin111100011101110…
…101010011000000
32121200212120111122
4330131311103000
54034200002230
6244355131412
734065466130
oct7435652300
92550776448
101014453440
114806a5980
122438a3b68
1313222ab10
1498a30ac0
155e0d8be5
hex3c7754c0

1014453440 has 224 divisors, whose sum is σ = 3244437504. Its totient is φ = 291778560.

The previous prime is 1014453439. The next prime is 1014453469. The reversal of 1014453440 is 443544101.

It is a happy number.

1014453440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318737 + ... + 321903.

It is an arithmetic number, because the mean of its divisors is an integer number (14484096).

Almost surely, 21014453440 is an apocalyptic number.

1014453440 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 1014453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622218752).

1014453440 is an abundant number, since it is smaller than the sum of its proper divisors (2229984064).

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

1014453440 is a wasteful number, since it uses less digits than its factorization.

1014453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1014453440 is about 31850.4857105822. The cubic root of 1014453440 is about 1004.7947866107.

Adding to 1014453440 its reverse (443544101), we get a palindrome (1457997541).

It can be divided in two parts, 1014 and 453440, that added together give a palindrome (454454).

The spelling of 1014453440 in words is "one billion, fourteen million, four hundred fifty-three thousand, four hundred forty".