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444140041444 = 221116276204113
BaseRepresentation
bin1100111011010001100…
…11110011010011100100
31120110101212211210200121
412131220303303103210
524234044322311234
6540011330251324
744042130030331
oct6355063632344
91513355753617
10444140041444
111613a45248a0
12720b1726b44
1332b61335468
14176d4539988
15b846ab94b4
hex6768cf34e4

444140041444 has 24 divisors (see below), whose sum is σ = 848424997728. Its totient is φ = 201757722240.

The previous prime is 444140041427. The next prime is 444140041493.

It is a happy number.

444140041444 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3030469 + ... + 3173644.

It is an arithmetic number, because the mean of its divisors is an integer number (35351041572).

Almost surely, 2444140041444 is an apocalyptic number.

444140041444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444140041444 is a deficient number, since it is larger than the sum of its proper divisors (404284956284).

444140041444 is a wasteful number, since it uses less digits than its factorization.

444140041444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205755 (or 6205753 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 4441400 and 41444, that added together give a palindrome (4482844).

The spelling of 444140041444 in words is "four hundred forty-four billion, one hundred forty million, forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 1627 3254 6508 17897 35794 71588 6204113 12408226 24816452 68245243 136490486 272980972 10094091851 20188183702 40376367404 111035010361 222070020722 444140041444