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1244145441 = 371119467607
BaseRepresentation
bin100101000101000…
…0010011100100001
310012201002010200210
41022022002130201
510022000123231
6323242204333
742555030120
oct11212023441
93181063623
101244145441
11589318980
122a87b36a9
1316a9acb46
14bb341ab7
157435aa46
hex4a282721

1244145441 has 64 divisors (see below), whose sum is σ = 2185297920. Its totient is φ = 609975360.

The previous prime is 1244145347. The next prime is 1244145457. The reversal of 1244145441 is 1445414421.

It is not a de Polignac number, because 1244145441 - 213 = 1244137249 is a prime.

It is a super-2 number, since 2×12441454412 = 3095795756722168962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1244145399 and 1244145408.

It is not an unprimeable number, because it can be changed into a prime (1244145341) 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 63 ways as a sum of consecutive naturals, for example, 2049360 + ... + 2049966.

It is an arithmetic number, because the mean of its divisors is an integer number (34145280).

Almost surely, 21244145441 is an apocalyptic number.

1244145441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1244145441 is a deficient number, since it is larger than the sum of its proper divisors (941152479).

1244145441 is a wasteful number, since it uses less digits than its factorization.

1244145441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114.

The product of its digits is 10240, while the sum is 30.

The square root of 1244145441 is about 35272.4459174580. The cubic root of 1244145441 is about 1075.5329438917.

Adding to 1244145441 its reverse (1445414421), we get a palindrome (2689559862).

The spelling of 1244145441 in words is "one billion, two hundred forty-four million, one hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 467 607 627 1401 1463 1821 3269 4249 4389 5137 6677 8873 9807 11533 12747 15411 20031 26619 34599 35959 46739 62111 80731 97603 107877 126863 140217 186333 242193 283469 292809 380589 683221 850407 888041 1984283 2049663 2664123 3118159 5385911 5952849 9354477 16157733 21827113 37701377 59245021 65481339 113104131 177735063 414715147 1244145441