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1442200132212 = 223747367799347
BaseRepresentation
bin10100111111001001110…
…100111001101001110100
312002212120101222121222120
4110333021310321221310
5142112111213212322
63022312041555540
7206124030600330
oct24771164715164
95085511877876
101442200132212
115066a7416214
121b3611aa5bb0
13a5cca735cc8
144db3508a7c0
15277acd8ca5c
hex14fc9d39a74

1442200132212 has 96 divisors (see below), whose sum is σ = 3928801701888. Its totient is φ = 403176269184.

The previous prime is 1442200132199. The next prime is 1442200132253. The reversal of 1442200132212 is 2122310022441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14467123 + ... + 14566469.

It is an arithmetic number, because the mean of its divisors is an integer number (40925017728).

Almost surely, 21442200132212 is an apocalyptic number.

1442200132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442200132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964400850944).

1442200132212 is an abundant number, since it is smaller than the sum of its proper divisors (2486601569676).

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

1442200132212 is a wasteful number, since it uses less digits than its factorization.

1442200132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103085 (or 103083 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1442200132212 its reverse (2122310022441), we get a palindrome (3564510154653).

The spelling of 1442200132212 in words is "one trillion, four hundred forty-two billion, two hundred million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3677 3948 7354 11031 14708 22062 25739 44124 51478 77217 99347 102956 154434 172819 198694 298041 308868 345638 397388 518457 596082 691276 695429 1036914 1192164 1209733 1390858 2073828 2086287 2419466 2781716 3629199 4172574 4669309 4838932 7258398 8345148 9338618 14007927 14516796 18677236 28015854 32685163 56031708 65370326 98055489 130740652 196110978 365298919 392221956 730597838 1095896757 1461195676 2191793514 2557092433 4383587028 5114184866 7671277299 10228369732 15342554598 17169049193 30685109196 34338098386 51507147579 68676196772 103014295158 120183344351 206028590316 240366688702 360550033053 480733377404 721100066106 1442200132212