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444214130232 = 233311513954053
BaseRepresentation
bin1100111011011010011…
…10011011011000111000
31120110121001020220101210
412131231032123120320
524234222304131412
6540022534243120
744044016543535
oct6355516333070
91513531226353
10444214130232
111614323288a4
12721124b64a0
1332b737a6092
1417700303d8c
15b84d35183c
hex676d39b638

444214130232 has 64 divisors (see below), whose sum is σ = 1153951119360. Its totient is φ = 142345872000.

The previous prime is 444214130209. The next prime is 444214130293. The reversal of 444214130232 is 232031412444.

It is a self number, because there is not a number n which added to its sum of digits gives 444214130232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864683 + ... + 2089370.

It is an arithmetic number, because the mean of its divisors is an integer number (18030486240).

Almost surely, 2444214130232 is an apocalyptic number.

It is an amenable number.

444214130232 is an abundant number, since it is smaller than the sum of its proper divisors (709736989128).

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

444214130232 is a wasteful number, since it uses less digits than its factorization.

444214130232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954244 (or 3954240 counting only the distinct ones).

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

Adding to 444214130232 its reverse (232031412444), we get a palindrome (676245542676).

The spelling of 444214130232 in words is "four hundred forty-four billion, two hundred fourteen million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 186 248 302 372 453 604 744 906 1208 1812 3624 4681 9362 14043 18724 28086 37448 56172 112344 3954053 7908106 11862159 15816212 23724318 31632424 47448636 94897272 122575643 245151286 367726929 490302572 597062003 735453858 980605144 1194124006 1470907716 1791186009 2388248012 2941815432 3582372018 4776496024 7164744036 14329488072 18508922093 37017844186 55526766279 74035688372 111053532558 148071376744 222107065116 444214130232