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444302403224141 = 71117227772079261
BaseRepresentation
bin110010100000101110011011…
…0111010101100001001001101
32011021010220011101220021220002
41211001130312322230021031
5431213422310211133031
64212541412315534045
7162404534512010210
oct14501346672541115
92137126141807802
10444302403224141
11119628655753490
12419b8947a5a325
13160bb6c95b6b57
147ba04cb423777
1536574d2475ccb
hex1941736eac24d

444302403224141 has 48 divisors (see below), whose sum is σ = 590560962686592. Its totient is φ = 324668052403200.

The previous prime is 444302403224047. The next prime is 444302403224191. The reversal of 444302403224141 is 141422304203444.

It is a de Polignac number, because none of the positive numbers 2k-444302403224141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444302403224095 and 444302403224104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444302403224191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29875550 + ... + 42203711.

It is an arithmetic number, because the mean of its divisors is an integer number (12303353389304).

Almost surely, 2444302403224141 is an apocalyptic number.

It is an amenable number.

444302403224141 is a deficient number, since it is larger than the sum of its proper divisors (146258559462451).

444302403224141 is a wasteful number, since it uses less digits than its factorization.

444302403224141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72079590 (or 72079573 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 444302403224141 its reverse (141422304203444), we get a palindrome (585724707427585).

The spelling of 444302403224141 in words is "four hundred forty-four trillion, three hundred two billion, four hundred three million, two hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 7 11 17 77 119 187 277 289 1309 1939 2023 3047 3179 4709 21329 22253 32963 51799 80053 362593 560371 880583 6164081 72079261 504554827 792871871 1225347437 5550103097 8577432059 13478821807 19965955297 20830906429 94351752649 139761687079 145816345003 219625508267 229139970719 339421240049 1537378557869 1603979795033 2375948680343 3733633640539 5770161080833 26135435483773 40391127565831 63471771889163 444302403224141