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444040201423134 = 23364321227602461
BaseRepresentation
bin110010011110110100010101…
…0011110001100100100011110
32011020012211101002221201111000
41210331220222132030210132
5431200123313031020014
64212221130305211130
7162346563064325451
oct14475505236144436
92136184332851430
10444040201423134
11119537434665578
1241975b71030aa6
131609ca71628484
147b919362a3498
153650788328509
hex193da2a78c91e

444040201423134 has 64 divisors (see below), whose sum is σ = 988338814606080. Its totient is φ = 147776001233760.

The previous prime is 444040201423069. The next prime is 444040201423163. The reversal of 444040201423134 is 431324102040444.

444040201423134 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 402 + 0 + 14 + 231 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736742664 + ... + 737345124.

It is an arithmetic number, because the mean of its divisors is an integer number (15442793978220).

Almost surely, 2444040201423134 is an apocalyptic number.

444040201423134 is an abundant number, since it is smaller than the sum of its proper divisors (544298613182946).

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

444040201423134 is a wasteful number, since it uses less digits than its factorization.

444040201423134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624342 (or 624336 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444040201423134 its reverse (431324102040444), we get a palindrome (875364303463578).

The spelling of 444040201423134 in words is "four hundred forty-four trillion, forty billion, two hundred one million, four hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 643 1286 1929 3858 5787 11574 17361 21227 34722 42454 63681 127362 191043 382086 573129 602461 1146258 1204922 1807383 3614766 5422149 10844298 13648961 16266447 27297922 32532894 40946883 81893766 122840649 245681298 368521947 387382423 737043894 774764846 1162147269 2324294538 3486441807 6972883614 10459325421 12788439647 20918650842 25576879294 38365318941 76730637882 115095956823 230191913646 345287870469 690575740938 8222966693021 16445933386042 24668900079063 49337800158126 74006700237189 148013400474378 222020100711567 444040201423134