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1144464126 = 2313196431201
BaseRepresentation
bin100010000110111…
…0010001011111110
32221202111210122020
41010031302023332
54320440323001
6305321501010
740234533051
oct10415621376
92852453566
101144464126
11538024923
1227b341766
1315314b410
14abdd4a98
156a71a736
hex443722fe

1144464126 has 64 divisors (see below), whose sum is σ = 2600935680. Its totient is φ = 332812800.

The previous prime is 1144464121. The next prime is 1144464133. The reversal of 1144464126 is 6214644411.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144464121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952326 + ... + 953526.

It is an arithmetic number, because the mean of its divisors is an integer number (40639620).

Almost surely, 21144464126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144464126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300467840).

1144464126 is an abundant number, since it is smaller than the sum of its proper divisors (1456471554).

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

1144464126 is a wasteful number, since it uses less digits than its factorization.

1144464126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881.

The product of its digits is 18432, while the sum is 33.

The square root of 1144464126 is about 33829.9294412507. The cubic root of 1144464126 is about 1046.0057245293.

The spelling of 1144464126 in words is "one billion, one hundred forty-four million, four hundred sixty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 643 741 1201 1286 1482 1929 2402 3603 3858 7206 8359 12217 15613 16718 22819 24434 25077 31226 36651 45638 46839 50154 68457 73302 93678 136914 158821 296647 317642 476463 593294 772243 889941 952926 1544486 1779882 2316729 4633458 10039159 14672617 20078318 29345234 30117477 44017851 60234954 88035702 190744021 381488042 572232063 1144464126