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141300432444 = 223331121729231
BaseRepresentation
bin1000001110011000101…
…0010111111000111100
3111111201110200200200210
42003212022113320330
54303340402314234
6144525034352420
713131361600353
oct2034612277074
9444643620623
10141300432444
1154a1a4572a6
122347528b710
131042b11ba52
146ba622299a
153a1ee99be9
hex20e6297e3c

141300432444 has 48 divisors (see below), whose sum is σ = 330980138496. Its totient is φ = 46917657600.

The previous prime is 141300432443. The next prime is 141300432457. The reversal of 141300432444 is 444234003141.

141300432444 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-2 number, since 2×1413004324442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141300432443) 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, 4819309 + ... + 4848539.

It is an arithmetic number, because the mean of its divisors is an integer number (6895419552).

Almost surely, 2141300432444 is an apocalyptic number.

It is an amenable number.

141300432444 is an abundant number, since it is smaller than the sum of its proper divisors (189679706052).

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

141300432444 is a wasteful number, since it uses less digits than its factorization.

141300432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30786 (or 30784 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 141300432444 its reverse (444234003141), we get a palindrome (585534435585).

The spelling of 141300432444 in words is "one hundred forty-one billion, three hundred million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 331 662 993 1217 1324 1986 2434 3651 3972 4868 7302 14604 29231 58462 87693 116924 175386 350772 402827 805654 1208481 1611308 2416962 4833924 9675461 19350922 29026383 35574127 38701844 58052766 71148254 106722381 116105532 142296508 213444762 426889524 11775036037 23550072074 35325108111 47100144148 70650216222 141300432444