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142512444215241 = 33753148716290821
BaseRepresentation
bin100000011001110101000011…
…100111010000111111001001
3200200121001112021021201220120
4200121311003213100333021
5122134410441204341431
61223033151342013453
742006120135534432
oct4031650347207711
9620531467251816
10142512444215241
1141455208516631
1213b97a49277289
136169b342a9cb9
1427298d39b2489
151172120867196
hex819d439d0fc9

142512444215241 has 32 divisors (see below), whose sum is σ = 198968019660288. Its totient is φ = 90635345498880.

The previous prime is 142512444215171. The next prime is 142512444215287.

142512444215241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142512444215241 - 214 = 142512444198857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142512444215193 and 142512444215202.

It is not an unprimeable number, because it can be changed into a prime (142512444215441) 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 31 ways as a sum of consecutive naturals, for example, 602611 + ... + 16893431.

It is an arithmetic number, because the mean of its divisors is an integer number (6217750614384).

Almost surely, 2142512444215241 is an apocalyptic number.

It is an amenable number.

142512444215241 is a deficient number, since it is larger than the sum of its proper divisors (56455575445047).

142512444215241 is a wasteful number, since it uses less digits than its factorization.

142512444215241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292401.

The product of its digits is 409600, while the sum is 42.

The spelling of 142512444215241 in words is "one hundred forty-two trillion, five hundred twelve billion, four hundred forty-four million, two hundred fifteen thousand, two hundred forty-one".

Divisors: 1 3 37 53 111 159 1487 1961 4461 5883 55019 78811 165057 236433 2916007 8748021 16290821 48872463 602760377 863413513 1808281131 2590240539 24224450827 31946299981 72673352481 95838899943 896304680599 1283895893831 2688914041797 3851687681493 47504148071747 142512444215241