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141537888735141 = 3371519143392357
BaseRepresentation
bin100000001011101001011011…
…100101001000111110100101
3200120010220000211012211220110
4200023221123211020332211
5122022424044004011031
61221005335231523233
741545526553613233
oct4013513345107645
9616126024184813
10141537888735141
1141109977340088
1213a5aba8689519
1360c8c726761c2
1426d4682985953
151156ad2d2cc46
hex80ba5b948fa5

141537888735141 has 32 divisors (see below), whose sum is σ = 195105456338688. Its totient is φ = 91198372953600.

The previous prime is 141537888735059. The next prime is 141537888735179.

141537888735141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141537888735141 - 214 = 141537888718757 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141537888735041) 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 31 ways as a sum of consecutive naturals, for example, 1532462335 + ... + 1532554691.

It is an arithmetic number, because the mean of its divisors is an integer number (6097045510584).

Almost surely, 2141537888735141 is an apocalyptic number.

It is an amenable number.

141537888735141 is a deficient number, since it is larger than the sum of its proper divisors (53567567603547).

141537888735141 is a wasteful number, since it uses less digits than its factorization.

141537888735141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183981.

The product of its digits is 90316800, while the sum is 66.

The spelling of 141537888735141 in words is "one hundred forty-one trillion, five hundred thirty-seven billion, eight hundred eighty-eight million, seven hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 37 111 151 453 5587 16761 91433 92357 274299 277071 3383021 3417209 10149063 10251627 13806383 13945907 41419149 41837721 510836171 515998559 1532508513 1547995677 8444477581 25333432743 312445670497 937337011491 1275116114731 3825348344193 47179296245047 141537888735141