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444362263444 = 221110099142351
BaseRepresentation
bin1100111011101100000…
…11100000101110010100
31120110222100222211222001
412131312003200232110
524240023214412234
6540045345245044
744050465630021
oct6356603405624
91513870884861
10444362263444
111614a8a05540
1272154033784
1332b983a0378
1417715c64548
15b85b362d14
hex67760e0b94

444362263444 has 12 divisors (see below), whose sum is σ = 848327957568. Its totient is φ = 201982847000.

The previous prime is 444362263439. The next prime is 444362263447.

444362263444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4443622634442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444362263394 and 444362263403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444362263447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5049571132 + ... + 5049571219.

It is an arithmetic number, because the mean of its divisors is an integer number (70693996464).

Almost surely, 2444362263444 is an apocalyptic number.

444362263444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444362263444 is a deficient number, since it is larger than the sum of its proper divisors (403965694124).

444362263444 is a wasteful number, since it uses less digits than its factorization.

444362263444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099142366 (or 10099142364 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

The spelling of 444362263444 in words is "four hundred forty-four billion, three hundred sixty-two million, two hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 10099142351 20198284702 40396569404 111090565861 222181131722 444362263444