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1444535440 = 245154911657
BaseRepresentation
bin101011000011001…
…1101110010010000
310201200011000002121
41112012131302100
510424300113230
6355201224024
750540230405
oct12606356220
93650130077
101444535440
11681447947
12343932014
131a03727ca
14d9bc62ac
1586c4077a
hex5619dc90

1444535440 has 40 divisors (see below), whose sum is σ = 3361001400. Its totient is φ = 577391616.

The previous prime is 1444535437. The next prime is 1444535453. The reversal of 1444535440 is 445354441.

It can be written as a sum of positive squares in 4 ways, for example, as 179452816 + 1265082624 = 13396^2 + 35568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1444535396 and 1444535405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118092 + ... + 129748.

It is an arithmetic number, because the mean of its divisors is an integer number (84025035).

Almost surely, 21444535440 is an apocalyptic number.

1444535440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444535440 is an abundant number, since it is smaller than the sum of its proper divisors (1916465960).

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

1444535440 is a wasteful number, since it uses less digits than its factorization.

1444535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13219 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 1444535440 is about 38007.0446101772. The cubic root of 1444535440 is about 1130.4275511603.

Adding to 1444535440 its reverse (445354441), we get a palindrome (1889889881).

The spelling of 1444535440 in words is "one billion, four hundred forty-four million, five hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1549 3098 6196 7745 11657 12392 15490 23314 24784 30980 46628 58285 61960 93256 116570 123920 186512 233140 466280 932560 18056693 36113386 72226772 90283465 144453544 180566930 288907088 361133860 722267720 1444535440