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141880051053 = 3213432897369
BaseRepresentation
bin1000010000100010110…
…1011100010101101101
3111120012212100100221200
42010020231130111231
54311032243113203
6145102341520113
713151630351466
oct2041055342555
9446185310850
10141880051053
1155197654344
12235b7413039
13104c122c740
146c1d1c1d6d
153a55cdd9a3
hex2108b5c56d

141880051053 has 72 divisors (see below), whose sum is σ = 228524095800. Its totient is φ = 84310668288.

The previous prime is 141880051051. The next prime is 141880051057. The reversal of 141880051053 is 350150088141.

141880051053 is a `hidden beast` number, since 1 + 4 + 18 + 80 + 0 + 510 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11134892484 + 130745158569 = 105522^2 + 361587^2 .

It is not a de Polignac number, because 141880051053 - 21 = 141880051051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141880050999 and 141880051017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141880051051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19249953 + ... + 19257321.

It is an arithmetic number, because the mean of its divisors is an integer number (3173945775).

Almost surely, 2141880051053 is an apocalyptic number.

141880051053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

141880051053 is a deficient number, since it is larger than the sum of its proper divisors (86644044747).

141880051053 is a wasteful number, since it uses less digits than its factorization.

141880051053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 141880051053 in words is "one hundred forty-one billion, eight hundred eighty million, fifty-one thousand, fifty-three".

Divisors: 1 3 9 13 39 43 89 117 129 267 387 559 801 1157 1677 1849 3471 3827 5031 5547 7369 10413 11481 16641 22107 24037 34443 49751 66321 72111 95797 149253 164561 216333 287391 316867 447759 493683 655841 862173 950601 1481049 1967523 2139293 2851803 4119271 5902569 6417879 8525933 12357813 13625281 19253637 25577799 28201163 37073439 40875843 76733397 84603489 122627529 177128653 253810467 366615119 531385959 1099845357 1212650009 1594157877 3299536071 3637950027 10913850081 15764450117 47293350351 141880051053