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2142516152412 = 223210125834167
BaseRepresentation
bin11111001011010111111…
…010100000100001011100
321120211012122010111221100
4133023113322200201130
5240100333113334122
64320131444433100
7310535355545466
oct37132772404134
97524178114840
102142516152412
117566aa570529
122a72983a8790
131270664bc83c
14759ac335136
153aae9a6aaac
hex1f2d7ea085c

2142516152412 has 54 divisors (see below), whose sum is σ = 5469958394264. Its totient is φ = 707100919200.

The previous prime is 2142516152411. The next prime is 2142516152449.

2142516152412 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 5 + 1 + 615 + 24 + 12 = 666.

2142516152412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142516152411) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2549848 + ... + 3284319.

Almost surely, 22142516152412 is an apocalyptic number.

It is an amenable number.

2142516152412 is an abundant number, since it is smaller than the sum of its proper divisors (3327442241852).

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

2142516152412 is a wasteful number, since it uses less digits than its factorization.

2142516152412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834379 (or 5834273 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 2142516152412 in words is "two trillion, one hundred forty-two billion, five hundred sixteen million, one hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 10201 20402 30603 40804 61206 91809 122412 183618 367236 5834167 11668334 17502501 23336668 35005002 52507503 70010004 105015006 210030012 589250867 1178501734 1767752601 2357003468 3535505202 5303257803 7071010404 10606515606 21213031212 59514337567 119028675134 178543012701 238057350268 357086025402 535629038103 714172050804 1071258076206 2142516152412