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4142131113123 = 33191837997303
BaseRepresentation
bin111100010001101010010…
…000001110110010100011
3112122222120020110100022000
4330101222100032302203
51020331041031104443
612450511353015043
7605154604352163
oct74215220166243
915588506410260
104142131113123
111357739034623
1256a9333b4483
132407a80500c3
141046a19d65a3
1572b2dd3c8d3
hex3c46a40eca3

4142131113123 has 16 divisors (see below), whose sum is σ = 6136811197440. Its totient is φ = 2761276445352.

The previous prime is 4142131113119. The next prime is 4142131113149. The reversal of 4142131113123 is 3213111312414.

4142131113123 is a `hidden beast` number, since 4 + 1 + 421 + 3 + 1 + 113 + 123 = 666.

It is not a de Polignac number, because 4142131113123 - 22 = 4142131113119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4142131133123) 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 15 ways as a sum of consecutive naturals, for example, 3480711 + ... + 4516592.

It is an arithmetic number, because the mean of its divisors is an integer number (383550699840).

Almost surely, 24142131113123 is an apocalyptic number.

4142131113123 is a deficient number, since it is larger than the sum of its proper divisors (1994680084317).

4142131113123 is a wasteful number, since it uses less digits than its factorization.

4142131113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016495 (or 8016489 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 4142131113123 its reverse (3213111312414), we get a palindrome (7355242425537).

The spelling of 4142131113123 in words is "four trillion, one hundred forty-two billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 9 27 19183 57549 172647 517941 7997303 23991909 71975727 215927181 153412263449 460236790347 1380710371041 4142131113123