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111414004040 = 23519714138833
BaseRepresentation
bin110011111000011001…
…0101100100101001000
3101122120122002211021002
41213300302230211020
53311133441112130
6123103300434132
711022641260133
oct1476062544510
9348518084232
10111414004040
1143283334299
12197143a8948
13a67743c8a1
14556ccdd21a
152d71306b45
hex19f0cac948

111414004040 has 32 divisors (see below), whose sum is σ = 251954021880. Its totient is φ = 44339377152.

The previous prime is 111414004021. The next prime is 111414004049. The reversal of 111414004040 is 40400414111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107493491044 + 3920512996 = 327862^2 + 62614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (111414004049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7061537 + ... + 7077296.

Almost surely, 2111414004040 is an apocalyptic number.

111414004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111414004040 is an abundant number, since it is smaller than the sum of its proper divisors (140540017840).

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

111414004040 is a wasteful number, since it uses less digits than its factorization.

111414004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139041 (or 14139037 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 111414004040 its reverse (40400414111), we get a palindrome (151814418151).

The spelling of 111414004040 in words is "one hundred eleven billion, four hundred fourteen million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 14138833 28277666 56555332 70694165 113110664 141388330 282776660 565553320 2785350101 5570700202 11141400404 13926750505 22282800808 27853501010 55707002020 111414004040