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4024112144121 = 3455789192813
BaseRepresentation
bin111010100011101111110…
…001100101111011111001
3112020200221021221112110000
4322203233301211323321
51011412340202102441
612320352424543213
7563506151565306
oct72435761457371
915220837845400
104024112144121
111311686440403
1254ba97021b09
1323261a3cb034
14dcaa780c0ad
156ea22c4e2b6
hex3a8efc65ef9

4024112144121 has 20 divisors (see below), whose sum is σ = 6022120415652. Its totient is φ = 2677924987488.

The previous prime is 4024112144111. The next prime is 4024112144159. The reversal of 4024112144121 is 1214412114204.

4024112144121 is a `hidden beast` number, since 4 + 0 + 24 + 11 + 214 + 412 + 1 = 666.

4024112144121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1056761384121 + 2967350760000 = 1027989^2 + 1722600^2 .

It is not a de Polignac number, because 4024112144121 - 29 = 4024112143609 is a prime.

It is a super-2 number, since 2×40241121441212 (a number of 26 digits) contains 22 as substring.

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 (4024112144111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44551290 + ... + 44641523.

Almost surely, 24024112144121 is an apocalyptic number.

It is an amenable number.

4024112144121 is a deficient number, since it is larger than the sum of its proper divisors (1998008271531).

4024112144121 is an equidigital number, since it uses as much as digits as its factorization.

4024112144121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89193382 (or 89193373 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 4024112144121 its reverse (1214412114204), we get a palindrome (5238524258325).

The spelling of 4024112144121 in words is "four trillion, twenty-four billion, one hundred twelve million, one hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 557 1671 5013 15039 45117 89192813 267578439 802735317 2408205951 7224617853 49680396841 149041190523 447123571569 1341370714707 4024112144121