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142000424412 = 22371119311132309
BaseRepresentation
bin1000010000111111100…
…0101000010111011100
3111120112020211222011020
42010033320220113130
54311304102040122
6145122321524140
713154621456310
oct2041770502734
9446466758136
10142000424412
11552495a0660
122362b7a3650
1310510157592
146c31197b40
153a61669c5c
hex210fe285dc

142000424412 has 384 divisors, whose sum is σ = 453029068800. Its totient is φ = 33501081600.

The previous prime is 142000424399. The next prime is 142000424413. The reversal of 142000424412 is 214424000241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142000424413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61497514 + ... + 61499822.

It is an arithmetic number, because the mean of its divisors is an integer number (1179763200).

Almost surely, 2142000424412 is an apocalyptic number.

142000424412 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 142000424412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226514534400).

142000424412 is an abundant number, since it is smaller than the sum of its proper divisors (311028644388).

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

142000424412 is a wasteful number, since it uses less digits than its factorization.

142000424412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 142000424412 its reverse (214424000241), we get a palindrome (356424424653).

The spelling of 142000424412 in words is "one hundred forty-two billion, four hundred twenty-four thousand, four hundred twelve".