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2054144142 = 2324326310091
BaseRepresentation
bin111101001101111…
…1100000010001110
312022011020100000200
41322123330002032
513201330103032
6535455234330
7101621636301
oct17233740216
95264210020
102054144142
11964568996
12493b189a6
13269753b0b
14156b50b38
15c050a47c
hex7a6fc08e

2054144142 has 48 divisors (see below), whose sum is σ = 4571918208. Its totient is φ = 666182160.

The previous prime is 2054144129. The next prime is 2054144143. The reversal of 2054144142 is 2414414502.

2054144142 is a `hidden beast` number, since 205 + 41 + 4 + 414 + 2 = 666.

It is a super-2 number, since 2×20541441422 = 8439016312225832328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054144143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198517 + ... + 208607.

It is an arithmetic number, because the mean of its divisors is an integer number (95248296).

Almost surely, 22054144142 is an apocalyptic number.

2054144142 is an abundant number, since it is smaller than the sum of its proper divisors (2517774066).

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

2054144142 is a wasteful number, since it uses less digits than its factorization.

2054144142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10405 (or 10402 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2054144142 is about 45322.6669780144. Note that the first 3 decimals coincide. The cubic root of 2054144142 is about 1271.1895238994.

Adding to 2054144142 its reverse (2414414502), we get a palindrome (4468558644).

The spelling of 2054144142 in words is "two billion, fifty-four million, one hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 263 387 526 774 789 1578 2367 4734 10091 11309 20182 22618 30273 33927 60546 67854 90819 101781 181638 203562 433913 867826 1301739 2603478 2653933 3905217 5307866 7810434 7961799 15923598 23885397 47770794 114119119 228238238 342357357 684714714 1027072071 2054144142