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142404350214 = 23737154959159
BaseRepresentation
bin1000010010011111110…
…1011111000100000110
3111121120101220112012010
42010213331133010012
54313121003201324
6145230351235050
713200625001460
oct2044775370406
9447511815163
10142404350214
11554365a8035
1223722b18a86
1310575a41a29
146c6caa1130
153a86d56829
hex2127f5f106

142404350214 has 64 divisors (see below), whose sum is σ = 334514304000. Its totient is φ = 39561084288.

The previous prime is 142404350203. The next prime is 142404350237. The reversal of 142404350214 is 412053404241.

142404350214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2377567 + ... + 2436725.

It is an arithmetic number, because the mean of its divisors is an integer number (5226786000).

Almost surely, 2142404350214 is an apocalyptic number.

142404350214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142404350214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167257152000).

142404350214 is an abundant number, since it is smaller than the sum of its proper divisors (192109953786).

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

142404350214 is a wasteful number, since it uses less digits than its factorization.

142404350214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60757.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 142404350214 its reverse (412053404241), we get a palindrome (554457754455).

The spelling of 142404350214 in words is "one hundred forty-two billion, four hundred four million, three hundred fifty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1549 1554 3098 4647 9294 10843 21686 32529 57313 59159 65058 114626 118318 171939 177477 343878 354954 401191 414113 802382 828226 1203573 1242339 2188883 2407146 2484678 4377766 6566649 13133298 15322181 30644362 45966543 91637291 91933086 183274582 274911873 549823746 641461037 1282922074 1924383111 3390579767 3848766222 6781159534 10171739301 20343478602 23734058369 47468116738 71202175107 142404350214