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1214443003224 = 2331146316695953
BaseRepresentation
bin10001101011000010011…
…100011001110101011000
311022002200121202200201210
4101223002130121311120
5124344134402100344
62325524000143120
7153512013130113
oct21530234316530
94262617680653
101214443003224
114290514621a0
1217744a607aa0
138a6a1913969
1442aca79b57a
15218ccb78db9
hex11ac2719d58

1214443003224 has 128 divisors (see below), whose sum is σ = 3321817574400. Its totient is φ = 366936514560.

The previous prime is 1214443003211. The next prime is 1214443003229. The reversal of 1214443003224 is 4223003444121.

It is a junction number, because it is equal to n+sod(n) for n = 1214443003191 and 1214443003200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214443003229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204002232 + ... + 204008184.

It is an arithmetic number, because the mean of its divisors is an integer number (25951699800).

Almost surely, 21214443003224 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 1214443003224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660908787200).

1214443003224 is an abundant number, since it is smaller than the sum of its proper divisors (2107374571176).

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

1214443003224 is a wasteful number, since it uses less digits than its factorization.

1214443003224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8105 (or 8101 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1214443003224 its reverse (4223003444121), we get a palindrome (5437446447345).

The spelling of 1214443003224 in words is "one trillion, two hundred fourteen billion, four hundred forty-three million, three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 463 926 1389 1669 1852 2778 3338 3704 5007 5093 5556 5953 6676 10014 10186 11112 11906 13352 15279 17859 18359 20028 20372 23812 30558 35718 36718 40056 40744 47624 55077 61116 65483 71436 73436 110154 122232 130966 142872 146872 196449 220308 261932 392898 440616 523864 772747 785796 1545494 1571592 2318241 2756239 3090988 4636482 5512478 6181976 8268717 8500217 9272964 9935557 11024956 16537434 17000434 18545928 19871114 22049912 25500651 29806671 30318629 33074868 34000868 39742228 51001302 59613342 60637258 66149736 68001736 79484456 90955887 102002604 109291127 119226684 121274516 181911774 204005208 218582254 238453368 242549032 327873381 363823548 437164508 655746762 727647096 874329016 1311493524 2622987048 4600162891 9200325782 13800488673 18400651564 27600977346 36801303128 50601791801 55201954692 101203583602 110403909384 151805375403 202407167204 303610750806 404814334408 607221501612 1214443003224