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141340222043141 = 11210111565356521
BaseRepresentation
bin100000001000110001010101…
…101110100011010000000101
3200112102222211002110111020212
4200020301111232203100011
5122011204233320340031
61220334445052405205
741525331314504402
oct4010612556432005
9615388732414225
10141340222043141
114104306267a800
1213a28822476805
1360b3430891a64
1426c8c907232a9
1511518b465912b
hex808c55ba3405

141340222043141 has 12 divisors (see below), whose sum is σ = 156895626577452. Its totient is φ = 127218921720000.

The previous prime is 141340222043129. The next prime is 141340222043227.

141340222043141 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 134132763664900 + 7207458378241 = 11581570^2 + 2684671^2 .

It is a de Polignac number, because none of the positive numbers 2k-141340222043141 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141340222043098 and 141340222043107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141340222043941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5782666040 + ... + 5782690481.

It is an arithmetic number, because the mean of its divisors is an integer number (13074635548121).

Almost surely, 2141340222043141 is an apocalyptic number.

141340222043141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141340222043141 is a deficient number, since it is larger than the sum of its proper divisors (15555404534311).

141340222043141 is a wasteful number, since it uses less digits than its factorization.

141340222043141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11565356644 (or 11565356633 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 141340222043141 in words is "one hundred forty-one trillion, three hundred forty billion, two hundred twenty-two million, forty-three thousand, one hundred forty-one".

Divisors: 1 11 101 121 1111 12221 11565356521 127218921731 1168101008621 1399408139041 12849111094831 141340222043141