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141537735141 = 31137115919521
BaseRepresentation
bin1000001111010001001…
…1100111000111100101
3111112100000012220210120
42003310103213013211
54304332130011031
6145004352512153
713140302620065
oct2036423470745
9445300186716
10141537735141
11550313a8330
122352084b659
1310468336c4a
146bc99553a5
153a35c21a96
hex20f44e71e5

141537735141 has 16 divisors (see below), whose sum is σ = 211437208128. Its totient is φ = 83462054400.

The previous prime is 141537735137. The next prime is 141537735149.

141537735141 is nontrivially palindromic in base 10.

141537735141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141537735141 - 22 = 141537735137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141537735093 and 141537735102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141537735149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57958540 + ... + 57960981.

It is an arithmetic number, because the mean of its divisors is an integer number (13214825508).

Almost surely, 2141537735141 is an apocalyptic number.

141537735141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141537735141 is a deficient number, since it is larger than the sum of its proper divisors (69899472987).

141537735141 is a wasteful number, since it uses less digits than its factorization.

141537735141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115919572.

The product of its digits is 176400, while the sum is 42.

It can be divided in two parts, 141537 and 735141, that added together give a palindrome (876678).

The spelling of 141537735141 in words is "one hundred forty-one billion, five hundred thirty-seven million, seven hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 115919521 347758563 1275114731 3825344193 4289022277 12867066831 47179245047 141537735141