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144442002224340 = 22325802455567913
BaseRepresentation
bin100000110101111010000110…
…001110111011010011010100
3200221102112001111002200110200
4200311322012032323103110
5122413014210032134330
61231111423442420500
742265406316151602
oct4065720616732324
9627375044080420
10144442002224340
114202956672a007
12142499b2361730
136279a8c972642
14279505cc74872
1511a7404528a60
hex835e863bb4d4

144442002224340 has 36 divisors (see below), whose sum is σ = 438140740081044. Its totient is φ = 38517867259776.

The previous prime is 144442002224293. The next prime is 144442002224413. The reversal of 144442002224340 is 43422200244441.

144442002224340 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 420 + 0 + 2 + 224 + 3 + 4 + 0 = 666.

144442002224340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60673599534276 + 83768402690064 = 7789326^2 + 9152508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144442002224295 and 144442002224304.

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, 401227783777 + ... + 401227784136.

Almost surely, 2144442002224340 is an apocalyptic number.

144442002224340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442002224340 is an abundant number, since it is smaller than the sum of its proper divisors (293698737856704).

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

144442002224340 is a wasteful number, since it uses less digits than its factorization.

144442002224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802455567928 (or 802455567923 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 144442002224340 its reverse (43422200244441), we get a palindrome (187864202468781).

The spelling of 144442002224340 in words is "one hundred forty-four trillion, four hundred forty-two billion, two million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 802455567913 1604911135826 2407366703739 3209822271652 4012277839565 4814733407478 7222100111217 8024555679130 9629466814956 12036833518695 14444200222434 16049111358260 24073667037390 28888400444868 36110500556085 48147334074780 72221001112170 144442002224340