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40114231400 = 2352208996013
BaseRepresentation
bin100101010110111111…
…101001100001101000
310211112122000002112002
4211112333221201220
51124123220401100
630232255110132
72620032224645
oct452677514150
9124478002462
1040114231400
111601548a861
127936212348
133a239398c9
141d27824dcc
15109ba4d2d5
hex956fe9868

40114231400 has 48 divisors (see below), whose sum is σ = 93311205900. Its totient is φ = 16037844480.

The previous prime is 40114231397. The next prime is 40114231447. The reversal of 40114231400 is 413241104.

It can be written as a sum of positive squares in 6 ways, for example, as 32405040196 + 7709191204 = 180014^2 + 87802^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369794 + ... + 465806.

Almost surely, 240114231400 is an apocalyptic number.

40114231400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40114231400 is an abundant number, since it is smaller than the sum of its proper divisors (53196974500).

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

40114231400 is a wasteful number, since it uses less digits than its factorization.

40114231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98118 (or 98109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40114231400 its reverse (413241104), we get a palindrome (40527472504).

The spelling of 40114231400 in words is "forty billion, one hundred fourteen million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2089 4178 8356 10445 16712 20890 41780 52225 83560 96013 104450 192026 208900 384052 417800 480065 768104 960130 1920260 2400325 3840520 4800650 9601300 19202600 200571157 401142314 802284628 1002855785 1604569256 2005711570 4011423140 5014278925 8022846280 10028557850 20057115700 40114231400