Search a number
-
+
14444040332112 = 243300917506919
BaseRepresentation
bin1101001000110000001111…
…1001001010001101010000
31220010211121000010222221220
43102030003321022031100
53343122343311111422
650415300040245040
73020355533036226
oct322140371121520
956124530128856
1014444040332112
114669757237376
121753427a70780
1380a0b4717cb1
1437d149650b16
151a0ac8d6de5c
hexd2303e4a350

14444040332112 has 20 divisors (see below), whose sum is σ = 37313770858080. Its totient is φ = 4814680110688.

The previous prime is 14444040332107. The next prime is 14444040332119. The reversal of 14444040332112 is 21123304044441.

It is a happy number.

It is a super-2 number, since 2×144440403321122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444040332119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150458753412 + ... + 150458753507.

It is an arithmetic number, because the mean of its divisors is an integer number (1865688542904).

Almost surely, 214444040332112 is an apocalyptic number.

14444040332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14444040332112 is an abundant number, since it is smaller than the sum of its proper divisors (22869730525968).

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

14444040332112 is a wasteful number, since it uses less digits than its factorization.

14444040332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300917506930 (or 300917506924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14444040332112 its reverse (21123304044441), we get a palindrome (35567344376553).

The spelling of 14444040332112 in words is "fourteen trillion, four hundred forty-four billion, forty million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 300917506919 601835013838 902752520757 1203670027676 1805505041514 2407340055352 3611010083028 4814680110704 7222020166056 14444040332112