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142360200336438 = 232719156910396147
BaseRepresentation
bin100000010111100111010001…
…001010111101010000110110
3200200001111120010120100222200
4200113213101022331100312
5122124412142241231223
61222435212335205330
741662120322112450
oct4027472112752066
9620044503510880
10142360200336438
11413a6692849097
1213b7243b076846
136158680ba5006
1427223b02012d0
15116d1aec9ea43
hex8179d12bd436

142360200336438 has 96 divisors (see below), whose sum is σ = 354979384381440. Its totient is φ = 40390274747520.

The previous prime is 142360200336353. The next prime is 142360200336439. The reversal of 142360200336438 is 834633002063241.

142360200336438 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 6 + 0 + 200 + 3 + 3 + 6 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142360200336393 and 142360200336402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142360200336439) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8495481 + ... + 18891627.

It is an arithmetic number, because the mean of its divisors is an integer number (3697701920640).

Almost surely, 2142360200336438 is an apocalyptic number.

142360200336438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142360200336438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177489692190720).

142360200336438 is an abundant number, since it is smaller than the sum of its proper divisors (212619184045002).

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

142360200336438 is a wasteful number, since it uses less digits than its factorization.

142360200336438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396922 (or 10396919 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

Adding to 142360200336438 its reverse (834633002063241), we get a palindrome (976993202399679).

The spelling of 142360200336438 in words is "one hundred forty-two trillion, three hundred sixty billion, two hundred million, three hundred thirty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 569 573 1138 1146 1337 1707 1719 2674 3414 3438 3983 4011 5121 7966 8022 10242 11949 12033 23898 24066 35847 71694 108679 217358 326037 652074 760753 978111 1521506 1956222 2282259 4564518 6846777 10396147 13693554 20792294 31188441 62376882 72773029 93565323 145546058 187130646 218319087 436638174 654957261 1309914522 1985664077 3971328154 5915407643 5956992231 11830815286 11913984462 13899648539 17746222929 17870976693 27799297078 35492445858 35741953386 41407853501 41698945617 53238668787 82815707002 83397891234 106477337574 124223560503 125096836851 248447121006 250193673702 372670681509 745341363018 1129842859813 2259685719626 3389528579439 6779057158878 7908900018691 10168585738317 15817800037382 20337171476634 23726700056073 47453400112146 71180100168219 142360200336438