Search a number
-
+
144332532234004 = 22411061218293141
BaseRepresentation
bin100000110100010100001001…
…010100000011011100010100
3200221001001111022222222200011
4200310110021110003130110
5122404221011222442004
61230545241104530004
742254452461454042
oct4064241124033424
9627031438888604
10144332532234004
1141a970a0783014
1214230741020904
13626c66520702a
14278da36219392
1511a4648c26004
hex834509503714

144332532234004 has 24 divisors (see below), whose sum is σ = 258744935705256. Its totient is φ = 70405441344000.

The previous prime is 144332532233987. The next prime is 144332532234043. The reversal of 144332532234004 is 400432235233441.

It can be written as a sum of positive squares in 4 ways, for example, as 14597060772100 + 129735471461904 = 3820610^2 + 11390148^2 .

It is a super-2 number, since 2×1443325322340042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13257274 + ... + 21550414.

It is an arithmetic number, because the mean of its divisors is an integer number (10781038987719).

Almost surely, 2144332532234004 is an apocalyptic number.

It is an amenable number.

144332532234004 is a deficient number, since it is larger than the sum of its proper divisors (114412403471252).

144332532234004 is a wasteful number, since it uses less digits than its factorization.

144332532234004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399307 (or 8399305 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 144332532234004 its reverse (400432235233441), we get a palindrome (544764767467445).

The spelling of 144332532234004 in words is "one hundred forty-four trillion, three hundred thirty-two billion, five hundred thirty-two million, two hundred thirty-four thousand, four".

Divisors: 1 2 4 41 82 164 106121 212242 424484 4350961 8293141 8701922 16586282 17403844 33172564 340018781 680037562 1360075124 880076416061 1760152832122 3520305664244 36083133058501 72166266117002 144332532234004