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141142616032 = 25111554125801
BaseRepresentation
bin1000001101110011000…
…0010110011111100000
3111111022110201210021111
42003130300112133200
54303030002203112
6144501240033104
713124434304245
oct2033460263740
9444273653244
10141142616032
1154949366510
1223430462794
1310404514162
146b8d2a15cc
153a111c45a7
hex20dcc167e0

141142616032 has 48 divisors (see below), whose sum is σ = 303167101104. Its totient is φ = 64149120000.

The previous prime is 141142615979. The next prime is 141142616077. The reversal of 141142616032 is 230616241141.

It is a junction number, because it is equal to n+sod(n) for n = 141142615985 and 141142616003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5457532 + ... + 5483332.

It is an arithmetic number, because the mean of its divisors is an integer number (6315981273).

Almost surely, 2141142616032 is an apocalyptic number.

It is an amenable number.

141142616032 is an abundant number, since it is smaller than the sum of its proper divisors (162024485072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141142616032 is a wasteful number, since it uses less digits than its factorization.

141142616032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41363 (or 41355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 141142616032 its reverse (230616241141), we get a palindrome (371758857173).

The spelling of 141142616032 in words is "one hundred forty-one billion, one hundred forty-two million, six hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 15541 25801 31082 51602 62164 103204 124328 170951 206408 248656 283811 341902 412816 497312 567622 683804 825632 1135244 1367608 2270488 2735216 4540976 5470432 9081952 400973341 801946682 1603893364 3207786728 4410706751 6415573456 8821413502 12831146912 17642827004 35285654008 70571308016 141142616032