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141445442232 = 233216711763593
BaseRepresentation
bin1000001110111011001…
…1100010101010111000
3111112002120112221201200
42003232303202222320
54304140013122412
6144551254414200
713135102264413
oct2035663425270
9445076487650
10141445442232
1154a942a02a6
12234b5961360
1310452191463
146bbb5acb7a
153a2ca909dc
hex20eece2ab8

141445442232 has 48 divisors (see below), whose sum is σ = 385375339440. Its totient is φ = 46866150528.

The previous prime is 141445442219. The next prime is 141445442239. The reversal of 141445442232 is 232244544141.

141445442232 is a `hidden beast` number, since 1 + 41 + 44 + 544 + 2 + 2 + 32 = 666.

141445442232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1414454422323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141445442239) 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 11 ways as a sum of consecutive naturals, for example, 5869773 + ... + 5893820.

It is an arithmetic number, because the mean of its divisors is an integer number (8028652905).

Almost surely, 2141445442232 is an apocalyptic number.

141445442232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141445442232 is an abundant number, since it is smaller than the sum of its proper divisors (243929897208).

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

141445442232 is a wasteful number, since it uses less digits than its factorization.

141445442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11763772 (or 11763765 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 141445442232 its reverse (232244544141), we get a palindrome (373689986373).

The spelling of 141445442232 in words is "one hundred forty-one billion, four hundred forty-five million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 12024 11763593 23527186 35290779 47054372 70581558 94108744 105872337 141163116 211744674 282326232 423489348 846978696 1964520031 3929040062 5893560093 7858080124 11787120186 15716160248 17680680279 23574240372 35361360558 47148480744 70722721116 141445442232