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142201344441 = 31361349171271
BaseRepresentation
bin1000010001101111011…
…1000101000110111001
3111121001020220202121210
42010123313011012321
54312212021010231
6145154300153333
713162611325062
oct2043367050671
9447036822553
10142201344441
1155341a51872
1223686b38849
1310542974580
146c4db39569
153a74106a46
hex211bdc51b9

142201344441 has 32 divisors (see below), whose sum is σ = 208129734400. Its totient is φ = 85826822400.

The previous prime is 142201344437. The next prime is 142201344469. The reversal of 142201344441 is 144443102241.

It is a happy number.

142201344441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142201344441 - 22 = 142201344437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142201344399 and 142201344408.

It is not an unprimeable number, because it can be changed into a prime (142201344641) by changing a digit.

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, 744636 + ... + 915906.

It is an arithmetic number, because the mean of its divisors is an integer number (6504054200).

Almost surely, 2142201344441 is an apocalyptic number.

It is an amenable number.

142201344441 is a deficient number, since it is larger than the sum of its proper divisors (65928389959).

142201344441 is a wasteful number, since it uses less digits than its factorization.

142201344441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171697.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 142201344441 its reverse (144443102241), we get a palindrome (286644446682).

The spelling of 142201344441 in words is "one hundred forty-two billion, two hundred one million, three hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 13 39 61 183 349 793 1047 2379 4537 13611 21289 63867 171271 276757 513813 830271 2226523 6679569 10447531 31342593 59773579 135817903 179320737 407453709 777056527 2331169581 3646188319 10938564957 47400448147 142201344441