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4202413044141 = 3131071007048417
BaseRepresentation
bin111101001001110011010…
…101100011000110101101
3112212202011101112201200210
4331021303111203012231
51022323020214403031
612534321212013033
7612420466332204
oct75116325430655
915782141481623
104202413044141
111380262674624
1257a557761179
1324639401c880
1410757dab823b
15744ab1d0746
hex3d2735631ad

4202413044141 has 16 divisors (see below), whose sum is σ = 6090628832064. Its totient is φ = 2561931170304.

The previous prime is 4202413044133. The next prime is 4202413044143. The reversal of 4202413044141 is 1414403142024.

It is a happy number.

It is not a de Polignac number, because 4202413044141 - 23 = 4202413044133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4202413044099 and 4202413044108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202413044143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503520036 + ... + 503528381.

It is an arithmetic number, because the mean of its divisors is an integer number (380664302004).

Almost surely, 24202413044141 is an apocalyptic number.

It is an amenable number.

4202413044141 is a deficient number, since it is larger than the sum of its proper divisors (1888215787923).

4202413044141 is a wasteful number, since it uses less digits than its factorization.

4202413044141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007048540.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4202413044141 its reverse (1414403142024), we get a palindrome (5616816186165).

The spelling of 4202413044141 in words is "four trillion, two hundred two billion, four hundred thirteen million, forty-four thousand, one hundred forty-one".

Divisors: 1 3 13 39 107 321 1391 4173 1007048417 3021145251 13091629421 39274888263 107754180619 323262541857 1400804348047 4202413044141