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440101044 = 2232234347263
BaseRepresentation
bin11010001110110…
…110100010110100
31010200010110010200
4122032312202310
51400131213134
6111400520500
713622540265
oct3216664264
91120113120
10440101044
11206475479
12103480130
1370242126
144264296c
1528985499
hex1a3b68b4

440101044 has 144 divisors (see below), whose sum is σ = 1217728512. Its totient is φ = 133632576.

The previous prime is 440101033. The next prime is 440101061.

440101044 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673257 + ... + 1673519.

It is an arithmetic number, because the mean of its divisors is an integer number (8456448).

Almost surely, 2440101044 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 440101044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608864256).

440101044 is an abundant number, since it is smaller than the sum of its proper divisors (777627468).

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

440101044 is a wasteful number, since it uses less digits than its factorization.

440101044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

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

The square root of 440101044 is about 20978.5853669879. The cubic root of 440101044 is about 760.6487097458.

It can be divided in two parts, 44010 and 1044, that added together give a palindrome (45054).

The spelling of 440101044 in words is "four hundred forty million, one hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 47 69 86 92 94 129 138 141 172 188 207 258 263 276 282 387 414 423 516 526 564 774 789 828 846 989 1052 1081 1548 1578 1692 1978 2021 2162 2367 2967 3156 3243 3956 4042 4324 4734 5934 6049 6063 6486 8084 8901 9468 9729 11309 11868 12098 12126 12361 12972 17802 18147 18189 19458 22618 24196 24252 24722 33927 35604 36294 36378 37083 38916 45236 46483 49444 54441 67854 72588 72756 74166 92966 101781 108882 111249 135708 139449 148332 185932 203562 217764 222498 260107 278898 284303 407124 418347 444996 520214 531523 557796 568606 780321 836694 852909 1040428 1063046 1137212 1560642 1594569 1673388 1705818 2126092 2340963 2558727 3121284 3189138 3411636 4681926 4783707 5117454 6378276 9363852 9567414 10234908 12225029 19134828 24450058 36675087 48900116 73350174 110025261 146700348 220050522 440101044