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44101410144 = 2531123796609
BaseRepresentation
bin101001000100101001…
…100001110101100000
311012211111120202111220
4221010221201311200
51210304430111034
632132050135040
73120605541531
oct510451416540
9135744522456
1044101410144
1117781107200
128669581480
13420a9bc57c
1421c519c688
151231ade749
hexa44a61d60

44101410144 has 72 divisors (see below), whose sum is σ = 127247180760. Its totient is φ = 13364060160.

The previous prime is 44101410113. The next prime is 44101410163.

44101410144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441014101442 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1886689 + ... + 1909920.

It is an arithmetic number, because the mean of its divisors is an integer number (1767321955).

Almost surely, 244101410144 is an apocalyptic number.

44101410144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44101410144 is an abundant number, since it is smaller than the sum of its proper divisors (83145770616).

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

44101410144 is a wasteful number, since it uses less digits than its factorization.

44101410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796644 (or 3796625 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 44101410144 in words is "forty-four billion, one hundred one million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 3796609 7593218 11389827 15186436 22779654 30372872 41762699 45559308 60745744 83525398 91118616 121491488 125288097 167050796 182237232 250576194 334101592 364474464 459389689 501152388 668203184 918779378 1002304776 1336406368 1378169067 1837558756 2004609552 2756338134 3675117512 4009219104 5512676268 7350235024 11025352536 14700470048 22050705072 44101410144