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1424444544 = 27323139887
BaseRepresentation
bin101010011100111…
…0100110010000000
310200021100021120100
41110321310302000
510404124211134
6353202442400
750204402355
oct12471646200
93607307510
101424444544
116710752a6
12339063400
13199159bc3
14d727662c
15850c2999
hex54e74c80

1424444544 has 96 divisors (see below), whose sum is σ = 4231319040. Its totient is φ = 459486720.

The previous prime is 1424444543. The next prime is 1424444561. The reversal of 1424444544 is 4454444241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1424444499 and 1424444508.

It is not an unprimeable number, because it can be changed into a prime (1424444543) 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 11 ways as a sum of consecutive naturals, for example, 15769 + ... + 55655.

It is an arithmetic number, because the mean of its divisors is an integer number (44076240).

Almost surely, 21424444544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115659520).

1424444544 is an abundant number, since it is smaller than the sum of its proper divisors (2806874496).

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

1424444544 is a wasteful number, since it uses less digits than its factorization.

1424444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39938 (or 39923 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

The square root of 1424444544 is about 37741.8142648177. The cubic root of 1424444544 is about 1125.1623256140.

Adding to 1424444544 its reverse (4454444241), we get a palindrome (5878888785).

The spelling of 1424444544 in words is "one billion, four hundred twenty-four million, four hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 39887 79774 119661 159548 239322 319096 358983 478644 638192 717966 957288 1236497 1276384 1435932 1914576 2472994 2552768 2871864 3709491 3829152 4945988 5105536 5743728 7418982 7658304 9891976 11128473 11487456 14837964 15316608 19783952 22256946 22974912 29675928 39567904 44513892 45949824 59351856 79135808 89027784 118703712 158271616 178055568 237407424 356111136 474814848 712222272 1424444544