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44106316640 = 2551315473847
BaseRepresentation
bin101001000100111100…
…001111101101100000
311012211211211000221222
4221010330033231200
51210312204113030
632132343234212
73120665335301
oct510474175540
9135754730858
1044106316640
1117783958561
12866b148968
13420ba19919
1421c5ab87a8
15123225d3e5
hexa44f0fb60

44106316640 has 96 divisors (see below), whose sum is σ = 105215894784. Its totient is φ = 17471301120.

The previous prime is 44106316637. The next prime is 44106316699. The reversal of 44106316640 is 4661360144.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 44106316640.

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 15 ways as a sum of consecutive naturals, for example, 11463197 + ... + 11467043.

It is an arithmetic number, because the mean of its divisors is an integer number (1095998904).

Almost surely, 244106316640 is an apocalyptic number.

44106316640 is a gapful number since it is divisible by the number (40) 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 44106316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52607947392).

44106316640 is an abundant number, since it is smaller than the sum of its proper divisors (61109578144).

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

44106316640 is a wasteful number, since it uses less digits than its factorization.

44106316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 44106316640 its reverse (4661360144), we get a palindrome (48767676784).

The spelling of 44106316640 in words is "forty-four billion, one hundred six million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 547 655 1048 1094 1310 2096 2188 2620 2735 3847 4192 4376 5240 5470 7694 8752 10480 10940 15388 17504 19235 20960 21880 30776 38470 43760 61552 71657 76940 87520 123104 143314 153880 286628 307760 358285 503957 573256 615520 716570 1007914 1146512 1433140 2015828 2104309 2293024 2519785 2866280 4031656 4208618 5039570 5732560 8063312 8417236 10079140 10521545 11465120 16126624 16834472 20158280 21043090 33668944 40316560 42086180 67337888 80633120 84172360 168344720 275664479 336689440 551328958 1102657916 1378322395 2205315832 2756644790 4410631664 5513289580 8821263328 11026579160 22053158320 44106316640