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44414430104 = 23117922328649
BaseRepresentation
bin101001010111010011…
…100110101110011000
311020122022120211011202
4221113103212232120
51211430043230404
632223111213332
73131426266262
oct512723465630
9136568524152
1044414430104
1117921873790
128736377248
13425a7c8695
1422149a0b32
15124e32121e
hexa574e6b98

44414430104 has 64 divisors (see below), whose sum is σ = 92413440000. Its totient is φ = 19842750720.

The previous prime is 44414430101. The next prime is 44414430107. The reversal of 44414430104 is 40103441444.

It is an interprime number because it is at equal distance from previous prime (44414430101) and next prime (44414430107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44414430101) 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 15 ways as a sum of consecutive naturals, for example, 1535972 + ... + 1564620.

It is an arithmetic number, because the mean of its divisors is an integer number (1443960000).

Almost surely, 244414430104 is an apocalyptic number.

44414430104 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 44414430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46206720000).

44414430104 is an abundant number, since it is smaller than the sum of its proper divisors (47999009896).

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

44414430104 is a wasteful number, since it uses less digits than its factorization.

44414430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28968 (or 28964 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 44414430104 its reverse (40103441444), we get a palindrome (84517871548).

The spelling of 44414430104 in words is "forty-four billion, four hundred fourteen million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 79 88 158 223 316 446 632 869 892 1738 1784 2453 3476 4906 6952 9812 17617 19624 28649 35234 57298 70468 114596 140936 193787 229192 315139 387574 630278 775148 1260556 1550296 2263271 2521112 4526542 6388727 9053084 12777454 18106168 24895981 25554908 49791962 51109816 70275997 99583924 140551994 199167848 281103988 504709433 562207976 1009418866 2018837732 4037675464 5551803763 11103607526 22207215052 44414430104