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144416520561324 = 223112937726363783
BaseRepresentation
bin100000110101100010010111…
…011010000110001010101100
3200221100002021121212002012210
4200311202113122012022230
5122412110013230430244
61231052011134130420
742263515002455064
oct4065422732061254
9627302247762183
10144416520561324
114201977aa20480
1214244a80650a10
13627755b70452b
142793b2294a3a4
1511a69124114b9
hex8358976862ac

144416520561324 has 48 divisors (see below), whose sum is σ = 380281746942720. Its totient is φ = 42253527435840.

The previous prime is 144416520561317. The next prime is 144416520561331. The reversal of 144416520561324 is 423165025614441.

It is an interprime number because it is at equal distance from previous prime (144416520561317) and next prime (144416520561331).

It is a super-2 number, since 2×1444165205613242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18863178064 + ... + 18863185719.

It is an arithmetic number, because the mean of its divisors is an integer number (7922536394640).

Almost surely, 2144416520561324 is an apocalyptic number.

It is an amenable number.

144416520561324 is an abundant number, since it is smaller than the sum of its proper divisors (235865226381396).

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

144416520561324 is a wasteful number, since it uses less digits than its factorization.

144416520561324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37726363830 (or 37726363828 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 144416520561324 in words is "one hundred forty-four trillion, four hundred sixteen billion, five hundred twenty million, five hundred sixty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 37726363783 75452727566 113179091349 150905455132 226358182698 414990001613 452716365396 829980003226 1094064549707 1244970004839 1659960006452 2188129099414 2489940009678 3282193649121 4376258198828 4979880019356 6564387298242 12034710046777 13128774596484 24069420093554 36104130140331 48138840187108 72208260280662 144416520561324