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1124212144 = 241129375953
BaseRepresentation
bin100001100000010…
…0001110110110000
32220100101220010211
41003000201312300
54300244242034
6303315433504
736600434266
oct10300416660
92810356124
101124212144
11527652250
122745b5894
1314bbaa3b3
14a9442436
1568a69d64
hex43021db0

1124212144 has 80 divisors (see below), whose sum is σ = 2524972320. Its totient is φ = 479969280.

The previous prime is 1124212109. The next prime is 1124212163. The reversal of 1124212144 is 4412124211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 185872 + ... + 191824.

It is an arithmetic number, because the mean of its divisors is an integer number (31562154).

Almost surely, 21124212144 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 1124212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262486160).

1124212144 is an abundant number, since it is smaller than the sum of its proper divisors (1400760176).

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

1124212144 is a wasteful number, since it uses less digits than its factorization.

1124212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6032 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 1124212144 is about 33529.2729417147. The cubic root of 1124212144 is about 1039.7990686770.

Adding to 1124212144 its reverse (4412124211), we get a palindrome (5536336355).

The spelling of 1124212144 in words is "one billion, one hundred twenty-four million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 37 44 58 74 88 116 148 176 232 296 319 407 464 592 638 814 1073 1276 1628 2146 2552 3256 4292 5104 5953 6512 8584 11803 11906 17168 23606 23812 47212 47624 65483 94424 95248 130966 172637 188848 220261 261932 345274 440522 523864 690548 881044 1047728 1381096 1762088 1899007 2422871 2762192 3524176 3798014 4845742 6387569 7596028 9691484 12775138 15192056 19382968 25550276 30384112 38765936 51100552 70263259 102201104 140526518 281053036 562106072 1124212144