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2042144444130 = 235731472142007
BaseRepresentation
bin11101101101111001010…
…010110100111011100010
321020020010120001102210020
4131231321102310323202
5231424302434203010
64202052002414310
7300353146240410
oct35557122647342
97206116042706
102042144444130
117180833334aa
1228b946061396
1311a75b99608b
1470ba9b962b0
15381c2daa470
hex1db794b4ee2

2042144444130 has 192 divisors, whose sum is σ = 5907678216192. Its totient is φ = 442104439680.

The previous prime is 2042144444117. The next prime is 2042144444143. The reversal of 2042144444130 is 314444412402.

It is an interprime number because it is at equal distance from previous prime (2042144444117) and next prime (2042144444143).

It is a junction number, because it is equal to n+sod(n) for n = 2042144444091 and 2042144444100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14309587 + ... + 14451593.

It is an arithmetic number, because the mean of its divisors is an integer number (30769157376).

Almost surely, 22042144444130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042144444130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953839108096).

2042144444130 is an abundant number, since it is smaller than the sum of its proper divisors (3865533772062).

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

2042144444130 is a wasteful number, since it uses less digits than its factorization.

2042144444130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142149 (or 142102 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2042144444130 its reverse (314444412402), we get a palindrome (2356588856532).

The spelling of 2042144444130 in words is "two trillion, forty-two billion, one hundred forty-four million, four hundred forty-four thousand, one hundred thirty".