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440042102223400 = 23522200210511117
BaseRepresentation
bin110010000001101110100100…
…1001100000111001000101000
32010201001121120200221200022201
41210003131021030013020220
5430134122211132122100
64155520315004025544
7161454664340004145
oct14403351114071050
92121047520850281
10440042102223400
11118235897916316
124142b1358322b4
1315b6ca3b583931
147a942195993cc
1535d178918836a
hex1903749307228

440042102223400 has 24 divisors (see below), whose sum is σ = 1023097887669870. Its totient is φ = 176016840889280.

The previous prime is 440042102223371. The next prime is 440042102223407. The reversal of 440042102223400 is 4322201240044.

It can be written as a sum of positive squares in 3 ways, for example, as 201365124941124 + 238676977282276 = 14190318^2 + 15449174^2 .

It is not an unprimeable number, because it can be changed into a prime (440042102223407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1100105255359 + ... + 1100105255758.

Almost surely, 2440042102223400 is an apocalyptic number.

440042102223400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440042102223400 is an abundant number, since it is smaller than the sum of its proper divisors (583055785446470).

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

440042102223400 is a wasteful number, since it uses less digits than its factorization.

440042102223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200210511133 (or 2200210511124 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 440042102223400 its reverse (4322201240044), we get a palindrome (444364303463444).

The spelling of 440042102223400 in words is "four hundred forty trillion, forty-two billion, one hundred two million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2200210511117 4400421022234 8800842044468 11001052555585 17601684088936 22002105111170 44004210222340 55005262777925 88008420444680 110010525555850 220021051111700 440042102223400