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44213536444 = 227111391915407
BaseRepresentation
bin101001001011010101…
…010000011010111100
311020010022120100212211
4221023111100122330
51211022131131234
632151133310204
73123436600420
oct511325203274
9136108510784
1044213536444
1117829430370
12869b035364
134227cba6ac
1421d6028b80
15123b88c164
hexa4b5506bc

44213536444 has 96 divisors (see below), whose sum is σ = 97686650880. Its totient is φ = 17009438400.

The previous prime is 44213536439. The next prime is 44213536483. The reversal of 44213536444 is 44463531244.

It is a junction number, because it is equal to n+sod(n) for n = 44213536397 and 44213536406.

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 31 ways as a sum of consecutive naturals, for example, 8174389 + ... + 8179795.

It is an arithmetic number, because the mean of its divisors is an integer number (1017569280).

Almost surely, 244213536444 is an apocalyptic number.

44213536444 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 44213536444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48843325440).

44213536444 is an abundant number, since it is smaller than the sum of its proper divisors (53473114436).

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

44213536444 is a wasteful number, since it uses less digits than its factorization.

44213536444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5757 counting only the distinct ones).

The product of its digits is 552960, while the sum is 40.

The spelling of 44213536444 in words is "forty-four billion, two hundred thirteen million, five hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 191 278 308 382 556 764 973 1337 1529 1946 2101 2674 3058 3892 4202 5348 5407 6116 8404 10703 10814 14707 21406 21628 26549 29414 37849 42812 53098 58828 59477 75698 106196 118954 151396 185843 237908 292039 371686 416339 584078 743372 751573 832678 1032737 1168156 1503146 1665356 2044273 2065474 3006292 4088546 4130948 5261011 7229159 8177092 8267303 10522022 11360107 14458318 16534606 21044044 22720214 28916636 33069212 45440428 57871121 79520749 115742242 143550443 159041498 231484484 287100886 318082996 574201772 1004853101 1579054873 2009706202 3158109746 4019412404 6316219492 11053384111 22106768222 44213536444