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441100044 = 2232711227701
BaseRepresentation
bin11010010010101…
…010011100001100
31010202000012111200
4122102222130030
51400410200134
6111434145500
713634200650
oct3222523414
91122005450
10441100044
11206a97aa0
12103882290
1370501a58
1442822a60
1528ad1499
hex1a4aa70c

441100044 has 144 divisors (see below), whose sum is σ = 1398249216. Its totient is φ = 113904000.

The previous prime is 441100043. The next prime is 441100057. The reversal of 441100044 is 440001144.

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (441100043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 628894 + ... + 629594.

It is an arithmetic number, because the mean of its divisors is an integer number (9710064).

Almost surely, 2441100044 is an apocalyptic number.

441100044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441100044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699124608).

441100044 is an abundant number, since it is smaller than the sum of its proper divisors (957149172).

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

441100044 is a wasteful number, since it uses less digits than its factorization.

441100044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

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

The square root of 441100044 is about 21002.3818649219. The cubic root of 441100044 is about 761.2238154178.

Adding to 441100044 its reverse (440001144), we get a palindrome (881101188).

The spelling of 441100044 in words is "four hundred forty-one million, one hundred thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 227 231 252 308 396 454 462 681 693 701 908 924 1362 1386 1402 1589 2043 2103 2497 2724 2772 2804 3178 4086 4206 4767 4907 4994 6309 6356 7491 7711 8172 8412 9534 9814 9988 12618 14301 14721 14982 15422 17479 19068 19628 22473 23133 25236 28602 29442 29964 30844 34958 44163 44946 46266 52437 53977 57204 58884 69399 69916 88326 89892 92532 104874 107954 138798 157311 159127 161931 176652 209748 215908 277596 314622 318254 323862 477381 485793 629244 636508 647724 954762 971586 1113889 1432143 1750397 1909524 1943172 2227778 2864286 3341667 3500794 4455556 5251191 5728572 6683334 7001588 10025001 10502382 12252779 13366668 15753573 20050002 21004764 24505558 31507146 36758337 40100004 49011116 63014292 73516674 110275011 147033348 220550022 441100044