Search a number
-
+
14122133440 = 26555779231
BaseRepresentation
bin11010010011011111…
…01010011111000000
31100110012021201011021
431021233222133000
5212410231232230
610253154155224
71006650103462
oct151157523700
940405251137
1014122133440
115a97637968
1228a1582b14
131440a01b9c
1497d7ca132
15579c0ac7a
hex349bea7c0

14122133440 has 56 divisors (see below), whose sum is σ = 33689129472. Its totient is φ = 5638640640.

The previous prime is 14122133429. The next prime is 14122133449. The reversal of 14122133440 is 4433122141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122133449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138625 + ... + 217855.

Almost surely, 214122133440 is an apocalyptic number.

14122133440 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 14122133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844564736).

14122133440 is an abundant number, since it is smaller than the sum of its proper divisors (19566996032).

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

14122133440 is an equidigital number, since it uses as much as digits as its factorization.

14122133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79805 (or 79795 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14122133440 its reverse (4433122141), we get a palindrome (18555255581).

The spelling of 14122133440 in words is "fourteen billion, one hundred twenty-two million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 557 1114 2228 2785 4456 5570 8912 11140 17824 22280 35648 44560 79231 89120 158462 178240 316924 396155 633848 792310 1267696 1584620 2535392 3169240 5070784 6338480 12676960 25353920 44131667 88263334 176526668 220658335 353053336 441316670 706106672 882633340 1412213344 1765266680 2824426688 3530533360 7061066720 14122133440