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1144241440 = 25517420677
BaseRepresentation
bin100010000110011…
…1011110100100000
32221202002111011121
41010030323310200
54320411211230
6305313022024
740232614606
oct10414736440
92852074147
101144241440
11537992591
1227b254914
131530a0c54
14abd77876
156a6c477a
hex4433bd20

1144241440 has 48 divisors (see below), whose sum is σ = 2862293112. Its totient is φ = 430772224.

The previous prime is 1144241437. The next prime is 1144241447. The reversal of 1144241440 is 441424411.

It can be written as a sum of positive squares in 4 ways, for example, as 1073479696 + 70761744 = 32764^2 + 8412^2 .

It is not an unprimeable number, because it can be changed into a prime (1144241447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 207619 + ... + 213058.

Almost surely, 21144241440 is an apocalyptic number.

1144241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144241440 is an abundant number, since it is smaller than the sum of its proper divisors (1718051672).

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

1144241440 is a wasteful number, since it uses less digits than its factorization.

1144241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420709 (or 420701 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 1144241440 is about 33826.6380239006. The cubic root of 1144241440 is about 1045.9378773640.

Adding to 1144241440 its reverse (441424411), we get a palindrome (1585665851).

The spelling of 1144241440 in words is "one billion, one hundred forty-four million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 420677 841354 1682708 2103385 3365416 4206770 6730832 7151509 8413540 13461664 14303018 16827080 28606036 33654160 35757545 57212072 67308320 71515090 114424144 143030180 228848288 286060360 572120720 1144241440