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42355000141 = 337612120533
BaseRepresentation
bin100111011100100011…
…100000001101001101
311001022210101221100221
4213130203200031031
51143220340001031
631242502351341
73026411363266
oct473443401515
9131283357327
1042355000141
1116a65325553
12826072b551
133cbcc4397c
14209b27596d
15117d61ea11
hex9dc8e034d

42355000141 has 8 divisors (see below), whose sum is σ = 42489692024. Its totient is φ = 42220362240.

The previous prime is 42355000139. The next prime is 42355000151. The reversal of 42355000141 is 14100055324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 922397641 + 41432602500 = 30371^2 + 203550^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42355000141 - 21 = 42355000139 is a prime.

It is a super-2 number, since 2×423550001412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42355000151) 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 7 ways as a sum of consecutive naturals, for example, 2052511 + ... + 2073043.

It is an arithmetic number, because the mean of its divisors is an integer number (5311211503).

Almost surely, 242355000141 is an apocalyptic number.

It is an amenable number.

42355000141 is a deficient number, since it is larger than the sum of its proper divisors (134691883).

42355000141 is a wasteful number, since it uses less digits than its factorization.

42355000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26991.

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 42355000141 its reverse (14100055324), we get a palindrome (56455055465).

The spelling of 42355000141 in words is "forty-two billion, three hundred fifty-five million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 337 6121 20533 2062777 6919621 125682493 42355000141