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2042144130012 = 2237101467515429
BaseRepresentation
bin11101101101111001010…
…001101000001111011100
321020020010112110110220020
4131231321101220033130
5231424302344130022
64202051551552140
7300353143461540
oct35557121501734
97206115413806
102042144130012
117180831394a8
1228b945b2b650
1311a75b8b60cc
1470ba9b13a20
15381c2d4735c
hex1db794683dc

2042144130012 has 96 divisors (see below), whose sum is σ = 5511422891520. Its totient is φ = 576454675200.

The previous prime is 2042144129983. The next prime is 2042144130053. The reversal of 2042144130012 is 2100314412402.

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, 3704314 + ... + 4219742.

It is an arithmetic number, because the mean of its divisors is an integer number (57410655120).

Almost surely, 22042144130012 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 2042144130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755711445760).

2042144130012 is an abundant number, since it is smaller than the sum of its proper divisors (3469278761508).

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

2042144130012 is a wasteful number, since it uses less digits than its factorization.

2042144130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516011 (or 516009 counting only the distinct ones).

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

Adding to 2042144130012 its reverse (2100314412402), we get a palindrome (4142458542414).

The spelling of 2042144130012 in words is "two trillion, forty-two billion, one hundred forty-four million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 467 606 707 934 1212 1401 1414 1868 2121 2802 2828 3269 4242 5604 6538 8484 9807 13076 19614 39228 47167 94334 141501 188668 283002 330169 515429 566004 660338 990507 1030858 1320676 1546287 1981014 2061716 3092574 3608003 3962028 6185148 7216006 10824009 14432012 21648018 43296036 52058329 104116658 156174987 208233316 240705343 312349974 364408303 481410686 624699948 722116029 728816606 962821372 1093224909 1444232058 1457633212 1684937401 2186449818 2888464116 3369874802 4372899636 5054812203 6739749604 10109624406 20219248812 24311239643 48622479286 72933718929 97244958572 145867437858 170178677501 291734875716 340357355002 510536032503 680714710004 1021072065006 2042144130012