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444163361444 = 2211101415724043
BaseRepresentation
bin1100111011010100011…
…00110000101010100100
31120110110111201120201022
412131222030300222210
524234121310031234
6540013522150312
744042532164555
oct6355214605244
91513414646638
10444163361444
11161406702520
12720b94b2398
1332b6610ba8a
14176d768a32c
15b848b73e2e
hex676a330aa4

444163361444 has 48 divisors (see below), whose sum is σ = 856585388736. Its totient is φ = 199837104000.

The previous prime is 444163361443. The next prime is 444163361461.

It is a happy number.

444163361444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 444163361395 and 444163361404.

It is not an unprimeable number, because it can be changed into a prime (444163361443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18461687 + ... + 18485729.

It is an arithmetic number, because the mean of its divisors is an integer number (17845528932).

Almost surely, 2444163361444 is an apocalyptic number.

444163361444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444163361444 is a deficient number, since it is larger than the sum of its proper divisors (412422027292).

444163361444 is a wasteful number, since it uses less digits than its factorization.

444163361444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28316 (or 28314 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 444163361444 in words is "four hundred forty-four billion, one hundred sixty-three million, three hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4157 4444 8314 16628 24043 45727 48086 91454 96172 182908 264473 419857 528946 839714 1057892 1679428 2428343 4618427 4856686 9236854 9713372 18473708 26711773 53423546 99946751 106847092 199893502 399787004 1099414261 2198828522 4397657044 10094621851 20189243702 40378487404 111040840361 222081680722 444163361444