Search a number
-
+
40400191100 = 225221110191879
BaseRepresentation
bin100101101000000010…
…011111111001111100
310212021120002100111002
4211220002133321330
51130214422103400
630320512145432
72630103646463
oct455002377174
9125246070432
1040400191100
1116151944595
1279b5b38278
133a6ac5cb29
141d537c19da
1510b6bd6ed5
hex96809fe7c

40400191100 has 72 divisors (see below), whose sum is σ = 88217270400. Its totient is φ = 16059153600.

The previous prime is 40400191099. The next prime is 40400191103. The reversal of 40400191100 is 119100404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400191103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21499961 + ... + 21501839.

Almost surely, 240400191100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400191100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108635200).

40400191100 is an abundant number, since it is smaller than the sum of its proper divisors (47817079300).

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

40400191100 is a wasteful number, since it uses less digits than its factorization.

40400191100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 40400191100 its reverse (119100404), we get a palindrome (40519291504).

The spelling of 40400191100 in words is "forty billion, four hundred million, one hundred ninety-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1019 1055 1879 2038 2110 3758 4076 4220 5095 5275 7516 9395 10190 10550 18790 20380 21100 25475 37580 46975 50950 93950 101900 187900 215009 396469 430018 792938 860036 1075045 1585876 1914701 1982345 2150090 3829402 3964690 4300180 5375225 7658804 7929380 9573505 9911725 10750450 19147010 19823450 21500900 38294020 39646900 47867525 95735050 191470100 404001911 808003822 1616007644 2020009555 4040019110 8080038220 10100047775 20200095550 40400191100