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44220103004 = 22711383557673
BaseRepresentation
bin101001001011101110…
…010011100101011100
311020010202220222111202
4221023232103211130
51211030321244004
632151530135032
73123546450050
oct511356234534
9136122828452
1044220103004
1117832105980
1286a1281478
13422947952c
1421d6c57c60
15123c237b1e
hexa4bb9395c

44220103004 has 96 divisors (see below), whose sum is σ = 97049788416. Its totient is φ = 17127290880.

The previous prime is 44220103001. The next prime is 44220103007. The reversal of 44220103004 is 40030102244.

It is an interprime number because it is at equal distance from previous prime (44220103001) and next prime (44220103007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44220103001) 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 31 ways as a sum of consecutive naturals, for example, 65705612 + ... + 65706284.

It is an arithmetic number, because the mean of its divisors is an integer number (1010935296).

Almost surely, 244220103004 is an apocalyptic number.

44220103004 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 44220103004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48524894208).

44220103004 is an abundant number, since it is smaller than the sum of its proper divisors (52829685412).

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

44220103004 is a wasteful number, since it uses less digits than its factorization.

44220103004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44220103004 its reverse (40030102244), we get a palindrome (84250205248).

The spelling of 44220103004 in words is "forty-four billion, two hundred twenty million, one hundred three thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 383 557 673 766 1114 1346 1532 2228 2681 2692 3899 4213 4711 5362 6127 7403 7798 8426 9422 10724 12254 14806 15596 16852 18844 24508 29491 29612 42889 51821 58982 85778 103642 117964 171556 207284 213331 257759 374861 426662 515518 749722 853324 1031036 1493317 1499444 1804313 2346641 2624027 2835349 2986634 3608626 4123471 4693282 5248054 5670698 5973268 7217252 8246942 9386564 10496108 11341396 16426487 16493884 19847443 28864297 32852974 39694886 57728594 65705948 79389772 115457188 143571763 287143526 574287052 1005002341 1579289393 2010004682 3158578786 4020009364 6317157572 11055025751 22110051502 44220103004