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44213336244 = 22337115316659
BaseRepresentation
bin101001001011010100…
…011111100010110100
311020010022012012021000
4221023110133202310
51211022103224434
632151125123300
73123435104640
oct511324374264
9136108165230
1044213336244
1117829303a10
12869ab59530
134227c4a52c
1421d5db5c20
15123b84cb99
hexa4b51f8b4

44213336244 has 96 divisors (see below), whose sum is σ = 142911820800. Its totient is φ = 11483981280.

The previous prime is 44213336227. The next prime is 44213336261. The reversal of 44213336244 is 44263331244.

44213336244 is a `hidden beast` number, since 4 + 4 + 21 + 3 + 3 + 3 + 624 + 4 = 666.

44213336244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44213336227) and next prime (44213336261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44213336199 and 44213336208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650014 + ... + 2666645.

It is an arithmetic number, because the mean of its divisors is an integer number (1488664800).

Almost surely, 244213336244 is an apocalyptic number.

44213336244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44213336244 is an abundant number, since it is smaller than the sum of its proper divisors (98698484556).

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

44213336244 is a wasteful number, since it uses less digits than its factorization.

44213336244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316690 (or 5316682 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 44213336244 its reverse (44263331244), we get a palindrome (88476667488).

Subtracting 44213336244 from its reverse (44263331244), we obtain a triangular number (49995000 = T9999).

The spelling of 44213336244 in words is "forty-four billion, two hundred thirteen million, three hundred thirty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 5316659 10633318 15949977 21266636 31899954 37216613 47849931 58483249 63799908 74433226 95699862 111649839 116966498 143549793 148866452 175449747 191399724 223299678 233932996 287099586 334949517 350899494 409382743 446599356 526349241 574199172 669899034 701798988 818765486 1004848551 1052698482 1228148229 1339798068 1579047723 1637530972 2009697102 2105396964 2456296458 3158095446 3684444687 4019394204 4912592916 6316190892 7368889374 11053334061 14737778748 22106668122 44213336244