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42321141441140 = 2254261496610437
BaseRepresentation
bin10011001111101101010001…
…00110100010001001110100
312112211212021010001101011012
421213312220212202021310
521021342144202104030
6230002021452531352
711625413223543662
oct1147665046421164
9175755233041135
1042321141441140
1112537328040861
1248b6154780b58
131a7cb35965803
14a644d5bdbc32
154d5d0b444095
hex267da89a2274

42321141441140 has 24 divisors (see below), whose sum is σ = 88895254843752. Its totient is φ = 16924483658880.

The previous prime is 42321141441109. The next prime is 42321141441149. The reversal of 42321141441140 is 4114414112324.

It can be written as a sum of positive squares in 4 ways, for example, as 5205826330384 + 37115315110756 = 2281628^2 + 6092234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42321141441097 and 42321141441106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42321141441149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248219999 + ... + 248390438.

It is an arithmetic number, because the mean of its divisors is an integer number (3703968951823).

Almost surely, 242321141441140 is an apocalyptic number.

It is an amenable number.

42321141441140 is an abundant number, since it is smaller than the sum of its proper divisors (46574113402612).

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

42321141441140 is a wasteful number, since it uses less digits than its factorization.

42321141441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496614707 (or 496614705 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 42321141441140 its reverse (4114414112324), we get a palindrome (46435555553464).

The spelling of 42321141441140 in words is "forty-two trillion, three hundred twenty-one billion, one hundred forty-one million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4261 8522 17044 21305 42610 85220 496610437 993220874 1986441748 2483052185 4966104370 9932208740 2116057072057 4232114144114 8464228288228 10580285360285 21160570720570 42321141441140