Search a number
-
+
442431112300140 = 22358982852268221
BaseRepresentation
bin110010010011000111000010…
…1010010010100011001101100
32011000112000000220212221201210
41210212032011102110121230
5430442242404222101030
64204550014101034420
7162122410256416515
oct14446160522243154
92130460026787653
10442431112300140
11118a76a87813497
12417561443b5a10
1315cb40c8649462
147b37acc801a0c
1536239add10bb0
hex192638549466c

442431112300140 has 48 divisors (see below), whose sum is σ = 1252726295516640. Its totient is φ = 116655993653760.

The previous prime is 442431112300129. The next prime is 442431112300147. The reversal of 442431112300140 is 41003211134244.

It is a happy number.

It is a super-2 number, since 2×4424311123001402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442431112300098 and 442431112300107.

It is not an unprimeable number, because it can be changed into a prime (442431112300147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41426128771 + ... + 41426139450.

It is an arithmetic number, because the mean of its divisors is an integer number (26098464489930).

Almost surely, 2442431112300140 is an apocalyptic number.

It is an amenable number.

442431112300140 is an abundant number, since it is smaller than the sum of its proper divisors (810295183216500).

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

442431112300140 is a wasteful number, since it uses less digits than its factorization.

442431112300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82852268322 (or 82852268320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 442431112300140 its reverse (41003211134244), we get a palindrome (483434323434384).

The spelling of 442431112300140 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred twelve million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 82852268221 165704536442 248556804663 331409072884 414261341105 497113609326 828522682210 994227218652 1242784023315 1657045364420 2485568046630 4971136093260 7373851871669 14747703743338 22121555615007 29495407486676 36869259358345 44243111230014 73738518716690 88486222460028 110607778075035 147477037433380 221215556150070 442431112300140