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440204412414 = 231322325307831
BaseRepresentation
bin1100110011111100011…
…10100100010111111110
31120002020121021010121110
412121332032210113332
524203014312144124
6534121020142450
743542450524244
oct6317616442776
91502217233543
10440204412414
1115a764a07518
1271393697a26
1332684b613a0
141743d980794
15b6b630c029
hex667e3a45fe

440204412414 has 32 divisors (see below), whose sum is σ = 952384333824. Its totient is φ = 134840118240.

The previous prime is 440204412379. The next prime is 440204412433. The reversal of 440204412414 is 414214402044.

It is a super-3 number, since 3×4402044124143 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12636522 + ... + 12671309.

It is an arithmetic number, because the mean of its divisors is an integer number (29762010432).

Almost surely, 2440204412414 is an apocalyptic number.

440204412414 is an abundant number, since it is smaller than the sum of its proper divisors (512179921410).

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

440204412414 is a wasteful number, since it uses less digits than its factorization.

440204412414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25308072.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 440204412414 its reverse (414214402044), we get a palindrome (854418814458).

The spelling of 440204412414 in words is "four hundred forty billion, two hundred four million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 223 446 669 1338 2899 5798 8697 17394 25307831 50615662 75923493 151846986 329001803 658003606 987005409 1974010818 5643646313 11287292626 16930938939 33861877878 73367402069 146734804138 220102206207 440204412414