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2412134312142 = 234310192567899
BaseRepresentation
bin100011000110011110011…
…010001010100011001110
322112121010210021010221010
4203012132122022203032
5304010022340442032
65044041425350050
7336161636233302
oct43063632124316
98477123233833
102412134312142
1184aa86a31525
1232b5a2a98326
13146603b02669
1484a68433d02
1542b29d27ccc
hex2319e68a8ce

2412134312142 has 32 divisors (see below), whose sum is σ = 4985336822400. Its totient is φ = 777570343200.

The previous prime is 2412134312141. The next prime is 2412134312149.

It is a happy number.

2412134312142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412134312141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46257892 + ... + 46310007.

It is an arithmetic number, because the mean of its divisors is an integer number (155791775700).

Almost surely, 22412134312142 is an apocalyptic number.

2412134312142 is an abundant number, since it is smaller than the sum of its proper divisors (2573202510258).

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

2412134312142 is a wasteful number, since it uses less digits than its factorization.

2412134312142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92568048.

The product of its digits is 9216, while the sum is 30.

The spelling of 2412134312142 in words is "two trillion, four hundred twelve billion, one hundred thirty-four million, three hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 43 86 101 129 202 258 303 606 4343 8686 13029 26058 92567899 185135798 277703697 555407394 3980419657 7960839314 9349357799 11941258971 18698715598 23882517942 28048073397 56096146794 402022385357 804044770714 1206067156071 2412134312142