Search a number
-
+
14400232044312 = 2337393061265247
BaseRepresentation
bin1101000110001101000010…
…1101110011011100011000
31212222122111221010101201010
43101203100231303130120
53341413133400404222
650343213020453520
73014245113530442
oct321432055633430
955878457111633
1014400232044312
114652116637344
121746a406aa2a0
13805c22688bca
1437ad91395492
1519e8b2d8080c
hexd18d0b73718

14400232044312 has 64 divisors (see below), whose sum is σ = 36061208294400. Its totient is φ = 4791997895040.

The previous prime is 14400232044307. The next prime is 14400232044461. The reversal of 14400232044312 is 21344023200441.

It is a self number, because there is not a number n which added to its sum of digits gives 14400232044312.

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, 54157273 + ... + 54422519.

It is an arithmetic number, because the mean of its divisors is an integer number (563456379600).

Almost surely, 214400232044312 is an apocalyptic number.

14400232044312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14400232044312 is an abundant number, since it is smaller than the sum of its proper divisors (21660976250088).

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

14400232044312 is a wasteful number, since it uses less digits than its factorization.

14400232044312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269056 (or 269052 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14400232044312 its reverse (21344023200441), we get a palindrome (35744255244753).

The spelling of 14400232044312 in words is "fourteen trillion, four hundred billion, two hundred thirty-two million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 739 1478 2217 2956 3061 4434 5912 6122 8868 9183 12244 17736 18366 24488 36732 73464 265247 530494 795741 1060988 1591482 2121976 2262079 3182964 4524158 6365928 6786237 9048316 13572474 18096632 27144948 54289896 196017533 392035066 588052599 784070132 811921067 1176105198 1568140264 1623842134 2352210396 2435763201 3247684268 4704420792 4871526402 6495368536 9743052804 19486105608 600009668513 1200019337026 1800029005539 2400038674052 3600058011078 4800077348104 7200116022156 14400232044312