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1144819806 = 2313192109373
BaseRepresentation
bin100010000111100…
…1001000001011110
32221210011212112120
41010033021001132
54321033213211
6305333243410
740240544034
oct10417110136
92853155476
101144819806
11538248079
1227b493566
13153244290
14ac088554
156a78ad06
hex443c905e

1144819806 has 96 divisors (see below), whose sum is σ = 2633289120. Its totient is φ = 329764608.

The previous prime is 1144819789. The next prime is 1144819807. The reversal of 1144819806 is 6089184411.

It is a happy number.

It is a super-2 number, since 2×11448198062 = 2621224776419755272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144819807) 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 47 ways as a sum of consecutive naturals, for example, 3069036 + ... + 3069408.

It is an arithmetic number, because the mean of its divisors is an integer number (27430095).

Almost surely, 21144819806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144819806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316644560).

1144819806 is an abundant number, since it is smaller than the sum of its proper divisors (1488469314).

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

1144819806 is a wasteful number, since it uses less digits than its factorization.

1144819806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1144819806 is about 33835.1859164391. The cubic root of 1144819806 is about 1046.1140735731.

The spelling of 1144819806 in words is "one billion, one hundred forty-four million, eight hundred nineteen thousand, eight hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 109 114 218 247 327 361 373 494 654 722 741 746 1083 1119 1417 1482 2071 2166 2238 2834 4142 4251 4693 4849 6213 7087 8502 9386 9698 12426 14079 14174 14547 21261 26923 28158 29094 39349 40657 42522 53846 78698 80769 81314 92131 118047 121971 134653 161538 184262 236094 243942 269306 276393 403959 511537 528541 552786 772483 807918 1023074 1057082 1534611 1544966 1585623 1750489 2317449 3069222 3171246 3500978 4634898 5251467 10042279 10502934 14677177 20084558 29354354 30126837 44031531 60253674 88063062 190803301 381606602 572409903 1144819806