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1144414544 = 247131097211
BaseRepresentation
bin100010000110110…
…0110000101010000
32221202102021121212
41010031212011100
54320432231134
6305320435252
740234235360
oct10415460520
92852367555
101144414544
11537aa0649
1227b318b28
13153131990
14abdc09a0
156a70abce
hex44366150

1144414544 has 80 divisors (see below), whose sum is σ = 2754407040. Its totient is φ = 448519680.

The previous prime is 1144414499. The next prime is 1144414547. The reversal of 1144414544 is 4454144411.

It is a self number, because there is not a number n which added to its sum of digits gives 1144414544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144414547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155099 + ... + 162309.

It is an arithmetic number, because the mean of its divisors is an integer number (34430088).

Almost surely, 21144414544 is an apocalyptic number.

1144414544 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 1144414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377203520).

1144414544 is an abundant number, since it is smaller than the sum of its proper divisors (1609992496).

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

1144414544 is a wasteful number, since it uses less digits than its factorization.

1144414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7342 counting only the distinct ones).

The product of its digits is 20480, while the sum is 32.

The square root of 1144414544 is about 33829.1966206707. The cubic root of 1144414544 is about 1045.9906188265.

Adding to 1144414544 its reverse (4454144411), we get a palindrome (5598558955).

The spelling of 1144414544 in words is "one billion, one hundred forty-four million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 109 112 182 208 218 364 436 728 763 872 1417 1456 1526 1744 2834 3052 5668 6104 7211 9919 11336 12208 14422 19838 22672 28844 39676 50477 57688 79352 93743 100954 115376 158704 187486 201908 374972 403816 656201 749944 785999 807632 1312402 1499888 1571998 2624804 3143996 5249608 5501993 6287992 10217987 10499216 11003986 12575984 20435974 22007972 40871948 44015944 71525909 81743896 88031888 143051818 163487792 286103636 572207272 1144414544