Search a number
-
+
42144244124 = 2214970711819
BaseRepresentation
bin100111001111111111…
…100010000110011100
311000210002211102110112
4213033333202012130
51142302411302444
631205533225152
73021242110253
oct471777420634
9130702742415
1042144244124
1116967366424
1282020321b8
133c88391978
14207b29379a
151169d8d69e
hex9cffe219c

42144244124 has 12 divisors (see below), whose sum is σ = 74247411000. Its totient is φ = 20930698128.

The previous prime is 42144244061. The next prime is 42144244127.

42144244124 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×421442441244 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144244127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35355314 + ... + 35356505.

It is an arithmetic number, because the mean of its divisors is an integer number (6187284250).

Almost surely, 242144244124 is an apocalyptic number.

It is an amenable number.

42144244124 is a deficient number, since it is larger than the sum of its proper divisors (32103166876).

42144244124 is a wasteful number, since it uses less digits than its factorization.

42144244124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70711972 (or 70711970 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The spelling of 42144244124 in words is "forty-two billion, one hundred forty-four million, two hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 149 298 596 70711819 141423638 282847276 10536061031 21072122062 42144244124