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1444210220012 = 227317397123473
BaseRepresentation
bin10101000001000001101…
…000110001101111101100
312010001202111022200001212
4111001001220301233230
5142130220304020022
63023243325053552
7206224606215530
oct25010150615754
95101674280055
101444210220012
115075390229aa
121b3a930b72b8
13a625b002b81
144dc8600dbc0
15278795943e2
hex15041a31bec

1444210220012 has 96 divisors (see below), whose sum is σ = 3025680666624. Its totient is φ = 590142412800.

The previous prime is 1444210220003. The next prime is 1444210220017. The reversal of 1444210220012 is 2100220124441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444210220012.

It is not an unprimeable number, because it can be changed into a prime (1444210220017) 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, 61514708 + ... + 61538180.

It is an arithmetic number, because the mean of its divisors is an integer number (31517506944).

Almost surely, 21444210220012 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 1444210220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512840333312).

1444210220012 is an abundant number, since it is smaller than the sum of its proper divisors (1581470446612).

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

1444210220012 is a wasteful number, since it uses less digits than its factorization.

1444210220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24559 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1444210220012 its reverse (2100220124441), we get a palindrome (3544430344453).

The spelling of 1444210220012 in words is "one trillion, four hundred forty-four billion, two hundred ten million, two hundred twenty thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 73 124 146 217 292 434 511 868 971 1022 1942 2044 2263 3884 4526 6797 9052 13594 15841 23473 27188 30101 31682 46946 60202 63364 70883 93892 120404 141766 164311 210707 283532 328622 421414 496181 657244 727663 842828 992362 1455326 1713529 1984724 2197373 2910652 3427058 4394746 5093641 6854116 8789492 10187282 11994703 15381611 20374564 22792283 23989406 30763222 45584566 47978812 53119399 61526444 91169132 106238798 159545981 212477596 319091962 371835793 638183924 706560773 743671586 1413121546 1487343172 1663836659 2826243092 3327673318 4945925411 6655346636 9891850822 11646856613 19783701644 23293713226 46587426452 51578936429 103157872858 206315745716 361052555003 722105110006 1444210220012