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144441200001320 = 2354338339561201
BaseRepresentation
bin100000110101111001010110…
…011010101100000100101000
3200221102102222120120112100222
4200311321112122230010220
5122413011034200020240
61231111212104145212
742265350405316145
oct4065712632540450
9627372876515328
10144441200001320
114202919490aa82
1214249809768208
1362799926c1971
142794dc44cb3cc
1511a73a8db2eb5
hex835e566ac128

144441200001320 has 32 divisors (see below), whose sum is σ = 325743260550120. Its totient is φ = 57643047014400.

The previous prime is 144441200001289. The next prime is 144441200001323. The reversal of 144441200001320 is 23100002144441.

It can be written as a sum of positive squares in 4 ways, for example, as 91124244993604 + 53316955007716 = 9545902^2 + 7301846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144441200001320.

It is not an unprimeable number, because it can be changed into a prime (144441200001323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4169763281 + ... + 4169797920.

Almost surely, 2144441200001320 is an apocalyptic number.

144441200001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441200001320 is an abundant number, since it is smaller than the sum of its proper divisors (181302060548800).

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

144441200001320 is a wasteful number, since it uses less digits than its factorization.

144441200001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339561645 (or 8339561641 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144441200001320 its reverse (23100002144441), we get a palindrome (167541202145761).

The spelling of 144441200001320 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 433 866 1732 2165 3464 4330 8660 17320 8339561201 16679122402 33358244804 41697806005 66716489608 83395612010 166791224020 333582448040 3611030000033 7222060000066 14444120000132 18055150000165 28888240000264 36110300000330 72220600000660 144441200001320