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44144104312 = 23721114936857
BaseRepresentation
bin101001000111001100…
…011001001101111000
311012221110220211220101
4221013030121031320
51210401342314222
632140213205144
73121634460400
oct510714311570
9135843824811
1044144104312
11177a3217a40
12867b9307b4
1342167ba4a9
1421cab13800
151235724927
hexa47319378

44144104312 has 96 divisors (see below), whose sum is σ = 105122441520. Its totient is φ = 17184975360.

The previous prime is 44144104283. The next prime is 44144104327. The reversal of 44144104312 is 21340144144.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 6434388 + ... + 6441244.

Almost surely, 244144104312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44144104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52561220760).

44144104312 is an abundant number, since it is smaller than the sum of its proper divisors (60978337208).

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

44144104312 is a wasteful number, since it uses less digits than its factorization.

44144104312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 44144104312 its reverse (21340144144), we get a palindrome (65484248456).

The spelling of 44144104312 in words is "forty-four billion, one hundred forty-four million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 1493 2156 2986 4312 5972 6857 10451 11944 13714 16423 20902 27428 32846 41804 47999 54856 65692 73157 75427 83608 95998 114961 131384 146314 150854 191996 229922 292628 301708 335993 383992 459844 527989 585256 603416 671986 804727 919688 1055978 1343972 1609454 2111956 2687944 3218908 3695923 4223912 6437816 7391846 10237501 14783692 20475002 29567384 40950004 71662507 81900008 112612511 143325014 225225022 286650028 450450044 501637549 573300056 788287577 900900088 1003275098 1576575154 2006550196 3153150308 4013100392 5518013039 6306300616 11036026078 22072052156 44144104312