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401101104 = 24314395807
BaseRepresentation
bin10111111010000…
…101000100110000
31000221202001021110
4113322011010300
51310140213404
6103444553320
712640205655
oct2772050460
91027661243
10401101104
11196458218
12b23b2840
1365138841
143b3adc2c
152532eb89
hex17e85130

401101104 has 40 divisors (see below), whose sum is σ = 1037076480. Its totient is φ = 133584448.

The previous prime is 401101097. The next prime is 401101121.

401101104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 401101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66169 + ... + 71975.

It is an arithmetic number, because the mean of its divisors is an integer number (25926912).

Almost surely, 2401101104 is an apocalyptic number.

It is an amenable number.

401101104 is an abundant number, since it is smaller than the sum of its proper divisors (635975376).

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

401101104 is a wasteful number, since it uses less digits than its factorization.

401101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 401101104 is about 20027.5086818106. The cubic root of 401101104 is about 737.4817639463.

It can be divided in two parts, 40110 and 1104, that added together give a palindrome (41214).

The spelling of 401101104 in words is "four hundred one million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1439 2878 4317 5756 5807 8634 11512 11614 17268 17421 23024 23228 34536 34842 46456 69072 69684 92912 139368 278736 8356273 16712546 25068819 33425092 50137638 66850184 100275276 133700368 200550552 401101104