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44103030144 = 273165769313
BaseRepresentation
bin101001000100101111…
…101101010110000000
311012211121122001201220
4221010233231112000
51210310333431034
632132144555040
73120625366545
oct510457552600
9135747561656
1044103030144
1117782013348
12866a022a80
13420b138a54
1421c54a0bcc
151231d0e749
hexa44bed580

44103030144 has 64 divisors (see below), whose sum is σ = 117221064240. Its totient is φ = 14691926016.

The previous prime is 44103030143. The next prime is 44103030149.

44103030144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44103030143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601632 + ... + 670944.

Almost surely, 244103030144 is an apocalyptic number.

It is an amenable number.

44103030144 is an abundant number, since it is smaller than the sum of its proper divisors (73118034096).

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

44103030144 is a wasteful number, since it uses less digits than its factorization.

44103030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70987 (or 70975 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 441030 and 30144, that added together give a palindrome (471174).

The spelling of 44103030144 in words is "forty-four billion, one hundred three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1657 3314 4971 6628 9942 13256 19884 26512 39768 53024 69313 79536 106048 138626 159072 207939 212096 277252 318144 415878 554504 636288 831756 1109008 1663512 2218016 3327024 4436032 6654048 8872064 13308096 26616192 114851641 229703282 344554923 459406564 689109846 918813128 1378219692 1837626256 2756439384 3675252512 5512878768 7350505024 11025757536 14701010048 22051515072 44103030144