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44200204400401 = 71710924114139491
BaseRepresentation
bin10100000110011001010010…
…11110110111011100010001
312210111111110020112000101021
422003030221132313130101
521243134004311303101
6234001143225235441
712211234161266320
oct1203145136673421
9183444406460337
1044200204400401
11130a12240a5995
124b5a367032b81
131b880a4b4a53a
14acb430b060b7
15519b370745a1
hex2833297b7711

44200204400401 has 32 divisors (see below), whose sum is σ = 54200631893760. Its totient is φ = 35183575756800.

The previous prime is 44200204400357. The next prime is 44200204400441. The reversal of 44200204400401 is 10400440200244.

44200204400401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 44200204400401 - 241 = 42001181144849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44200204400441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3943735 + ... + 10195756.

It is an arithmetic number, because the mean of its divisors is an integer number (1693769746680).

Almost surely, 244200204400401 is an apocalyptic number.

It is an amenable number.

44200204400401 is a deficient number, since it is larger than the sum of its proper divisors (10000427493359).

44200204400401 is a wasteful number, since it uses less digits than its factorization.

44200204400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139865.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 44200204400401 its reverse (10400440200244), we get a palindrome (54600644600645).

The spelling of 44200204400401 in words is "forty-four trillion, two hundred billion, two hundred four million, four hundred thousand, four hundred one".

Divisors: 1 7 17 109 119 241 763 1687 1853 4097 12971 26269 28679 183883 446573 3126011 14139491 98976437 240371347 1541204519 1682599429 3407617331 10788431633 23853321317 26200476823 57929494627 183403337761 371430289079 405506462389 2600012023553 6314314914343 44200204400401