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444424414404 = 223173136960227
BaseRepresentation
bin1100111011110011100…
…00100110010011000100
31120111010200221110001110
412131321300212103010
524240140122230104
6540055445325020
744052152123115
oct6357160462304
91514120843043
10444424414404
1116152aaa5473
1272170a06770
1332ba8221399
141772020220c
15b861a3ce89
hex6779c264c4

444424414404 has 48 divisors (see below), whose sum is σ = 1101497842368. Its totient is φ = 138981792768.

The previous prime is 444424414373. The next prime is 444424414409. The reversal of 444424414404 is 404414424444.

It is a super-3 number, since 3×4444244144043 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (444424414409) 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 15 ways as a sum of consecutive naturals, for example, 3416262 + ... + 3543965.

It is an arithmetic number, because the mean of its divisors is an integer number (22947871716).

Almost surely, 2444424414404 is an apocalyptic number.

It is an amenable number.

444424414404 is an abundant number, since it is smaller than the sum of its proper divisors (657073427964).

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

444424414404 is a wasteful number, since it uses less digits than its factorization.

444424414404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960564 (or 6960562 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 39.

Adding to 444424414404 its reverse (404414424444), we get a palindrome (848838838848).

The spelling of 444424414404 in words is "four hundred forty-four billion, four hundred twenty-four million, four hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 313 626 939 1252 1878 3756 5321 10642 15963 21284 31926 63852 6960227 13920454 20880681 27840908 41761362 83522724 118323859 236647718 354971577 473295436 709943154 1419886308 2178551051 4357102102 6535653153 8714204204 13071306306 26142612612 37035367867 74070735734 111106103601 148141471468 222212207202 444424414404