Search a number
-
+
14353266440 = 2353728134513
BaseRepresentation
bin11010101111000010…
…10111011100001000
31101001022012111000202
431113201113130020
5213343414011230
610332132151332
71015454515562
oct152741273410
941038174022
1014353266440
1160a6054577
122946a68548
131479869a86
149a2394332
15590164a45
hex357857708

14353266440 has 64 divisors (see below), whose sum is σ = 33286682160. Its totient is φ = 5566095360.

The previous prime is 14353266437. The next prime is 14353266451. The reversal of 14353266440 is 4466235341.

14353266440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12938152516 + 1415113924 = 113746^2 + 37618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14353266394 and 14353266403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398624 + ... + 433136.

Almost surely, 214353266440 is an apocalyptic number.

14353266440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14353266440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643341080).

14353266440 is an abundant number, since it is smaller than the sum of its proper divisors (18933415720).

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

14353266440 is a wasteful number, since it uses less digits than its factorization.

14353266440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34842 (or 34838 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 14353266440 in words is "fourteen billion, three hundred fifty-three million, two hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 281 296 370 562 740 1124 1405 1480 2248 2810 5620 10397 11240 20794 34513 41588 51985 69026 83176 103970 138052 172565 207940 276104 345130 415880 690260 1276981 1380520 2553962 5107924 6384905 9698153 10215848 12769810 19396306 25539620 38792612 48490765 51079240 77585224 96981530 193963060 358831661 387926120 717663322 1435326644 1794158305 2870653288 3588316610 7176633220 14353266440