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401004144 = 24325994649
BaseRepresentation
bin10111111001101…
…101011001110000
31000221120010021100
4113321231121300
51310124113034
6103442524400
712636323202
oct2771553160
91027503240
10401004144
111963a1392
12b2366700
1365103678
143b386772
1525311099
hex17e6d670

401004144 has 60 divisors (see below), whose sum is σ = 1124370000. Its totient is φ = 133416192.

The previous prime is 401004137. The next prime is 401004161. The reversal of 401004144 is 441400104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83932 + ... + 88580.

It is an arithmetic number, because the mean of its divisors is an integer number (18739500).

Almost surely, 2401004144 is an apocalyptic number.

It is an amenable number.

401004144 is an abundant number, since it is smaller than the sum of its proper divisors (723365856).

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

401004144 is a wasteful number, since it uses less digits than its factorization.

401004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 401004144 is about 20025.0878649758. The cubic root of 401004144 is about 737.4223342134.

Adding to 401004144 its reverse (441400104), we get a palindrome (842404248).

It can be divided in two parts, 40100 and 4144, that added together give a palindrome (44244).

The spelling of 401004144 in words is "four hundred one million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 599 1198 1797 2396 3594 4649 4792 5391 7188 9298 9584 10782 13947 14376 18596 21564 27894 28752 37192 41841 43128 55788 74384 83682 86256 111576 167364 223152 334728 669456 2784751 5569502 8354253 11139004 16708506 22278008 25062759 33417012 44556016 50125518 66834024 100251036 133668048 200502072 401004144