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141290437041 = 3213292893121
BaseRepresentation
bin1000001110010110010…
…0001111100110110001
3111111200202212212120200
42003211210033212301
54303330322441131
6144524040225413
713131210620265
oct2034544174661
9444622785520
10141290437041
1154a1484a636
1223471a6b269
131042902c300
146ba4b800a5
153a1e1732e6
hex20e590f9b1

141290437041 has 18 divisors (see below), whose sum is σ = 220992737238. Its totient is φ = 86947960320.

The previous prime is 141290437039. The next prime is 141290437081. The reversal of 141290437041 is 140734092141.

It can be written as a sum of positive squares in 3 ways, for example, as 7762314816 + 133528122225 = 88104^2 + 365415^2 .

It is not a de Polignac number, because 141290437041 - 21 = 141290437039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141290436987 and 141290437005.

It is not an unprimeable number, because it can be changed into a prime (141290437081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46445040 + ... + 46448081.

It is an arithmetic number, because the mean of its divisors is an integer number (12277374291).

Almost surely, 2141290437041 is an apocalyptic number.

It is an amenable number.

141290437041 is a deficient number, since it is larger than the sum of its proper divisors (79702300197).

141290437041 is a wasteful number, since it uses less digits than its factorization.

141290437041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92893153 (or 92893137 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 141290437041 in words is "one hundred forty-one billion, two hundred ninety million, four hundred thirty-seven thousand, forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 92893121 278679363 836038089 1207610573 3622831719 10868495157 15698937449 47096812347 141290437041