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1413956544 = 2637211131051
BaseRepresentation
bin101010001000111…
…0100001111000000
310122112121102201220
41110101310033000
510343433102134
6352145555040
750016301200
oct12421641700
93575542656
101413956544
11666161530
12335645a80
13196c271a0
14d5b06400
1584200149
hex544743c0

1413956544 has 336 divisors, whose sum is σ = 5117567616. Its totient is φ = 338688000.

The previous prime is 1413956527. The next prime is 1413956549. The reversal of 1413956544 is 4456593141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1413956496 and 1413956505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413956549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344819 + ... + 1345869.

It is an arithmetic number, because the mean of its divisors is an integer number (15230856).

Almost surely, 21413956544 is an apocalyptic number.

1413956544 is a gapful number since it is divisible by the number (14) 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 1413956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558783808).

1413956544 is an abundant number, since it is smaller than the sum of its proper divisors (3703611072).

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

1413956544 is a wasteful number, since it uses less digits than its factorization.

1413956544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1087 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1413956544 is about 37602.6135261899. The cubic root of 1413956544 is about 1122.3940456503.

The spelling of 1413956544 in words is "one billion, four hundred thirteen million, nine hundred fifty-six thousand, five hundred forty-four".