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14311229040 = 243454351361
BaseRepresentation
bin11010101010000010…
…00000011001110000
31100221101002202120000
431111001000121300
5213302133312130
610324031150000
71014434303553
oct152501003160
940841082500
1014311229040
116084352219
122934975300
131470c3ba84
1499a97069a
1558b60e260
hex355040670

14311229040 has 200 divisors, whose sum is σ = 50861939568. Its totient is φ = 3727503360.

The previous prime is 14311229029. The next prime is 14311229041. The reversal of 14311229040 is 4092211341.

It is a happy number.

14311229040 is a `hidden beast` number, since 1 + 431 + 1 + 229 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×143112290402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14311228995 and 14311229013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311229041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252960 + ... + 304320.

Almost surely, 214311229040 is an apocalyptic number.

14311229040 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 14311229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25430969784).

14311229040 is an abundant number, since it is smaller than the sum of its proper divisors (36550710528).

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

14311229040 is a wasteful number, since it uses less digits than its factorization.

14311229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51429 (or 51414 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 14311229040 in words is "fourteen billion, three hundred eleven million, two hundred twenty-nine thousand, forty".