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444113204412 = 223292109403729
BaseRepresentation
bin1100111011001110011…
…01011011010010111100
31120110100000100100012110
412131213031123102330
524234020440020122
6540004531134020
744041352644263
oct6354715332274
91513300310173
10444113204412
11161390364829
12720a4744310
1332b588ca067
14176d0b515da
15b84456790c
hex676735b4bc

444113204412 has 72 divisors (see below), whose sum is σ = 1083078396400. Its totient is φ = 141621322752.

The previous prime is 444113204407. The next prime is 444113204413. The reversal of 444113204412 is 214402311444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444113204412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444113204413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898164 + ... + 1301892.

Almost surely, 2444113204412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444113204412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541539198200).

444113204412 is an abundant number, since it is smaller than the sum of its proper divisors (638965191988).

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

444113204412 is a wasteful number, since it uses less digits than its factorization.

444113204412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403903 (or 403872 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 444113204412 its reverse (214402311444), we get a palindrome (658515515856).

The spelling of 444113204412 in words is "four hundred forty-four billion, one hundred thirteen million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 841 1308 1682 2523 3161 3364 5046 6322 9483 10092 12644 18966 37932 91669 183338 275007 366676 403729 550014 807458 1100028 1211187 1614916 2422374 4844748 11708141 23416282 35124423 44006461 46832564 70248846 88012922 132019383 140497692 176025844 264038766 339536089 528077532 679072178 1018608267 1276187369 1358144356 2037216534 2552374738 3828562107 4074433068 5104749476 7657124214 15314248428 37009433701 74018867402 111028301103 148037734804 222056602206 444113204412