Search a number
-
+
14122914912 = 253249037899
BaseRepresentation
bin11010010011100101…
…01001010001100000
31100110020202102010200
431021302221101200
5212410431234122
610253223025200
71006656540021
oct151162512140
940406672120
1014122914912
115a98021007
1228a189b200
131440c167b2
1497d950c48
15579d125ac
hex349ca9460

14122914912 has 36 divisors (see below), whose sum is σ = 40162040100. Its totient is φ = 4707638208.

The previous prime is 14122914907. The next prime is 14122914961. The reversal of 14122914912 is 21941922141.

14122914912 is a `hidden beast` number, since 141 + 2 + 29 + 1 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×141229149122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24518662 + ... + 24519237.

It is an arithmetic number, because the mean of its divisors is an integer number (1115612225).

Almost surely, 214122914912 is an apocalyptic number.

14122914912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14122914912 is an abundant number, since it is smaller than the sum of its proper divisors (26039125188).

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

14122914912 is a wasteful number, since it uses less digits than its factorization.

14122914912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49037915 (or 49037904 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 14122914912 in words is "fourteen billion, one hundred twenty-two million, nine hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49037899 98075798 147113697 196151596 294227394 392303192 441341091 588454788 784606384 882682182 1176909576 1569212768 1765364364 2353819152 3530728728 4707638304 7061457456 14122914912