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144040014232344 = 23322730437326889
BaseRepresentation
bin100000110000000011101101…
…111000011011101100011000
3200220000002110020202212010200
4200300003231320123230120
5122334422422120413334
61230203022524542200
742224355554460546
oct4060035570335430
9626002406685120
10144040014232344
1141994032a1191a
12141a3b053b1960
13624abb8502799
14277d806a60d96
15119bc28340799
hex8300ede1bb18

144040014232344 has 48 divisors (see below), whose sum is σ = 390109853866200. Its totient is φ = 48013155679104.

The previous prime is 144040014232333. The next prime is 144040014232391. The reversal of 144040014232344 is 443232410040441.

144040014232344 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 400 + 14 + 2 + 3 + 234 + 4 = 666.

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 = 144040014232299 and 144040014232308.

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, 15995652 + ... + 23322540.

Almost surely, 2144040014232344 is an apocalyptic number.

It is an amenable number.

144040014232344 is an abundant number, since it is smaller than the sum of its proper divisors (246069839633856).

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

144040014232344 is a wasteful number, since it uses less digits than its factorization.

144040014232344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599944 (or 7599937 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144040014232344 its reverse (443232410040441), we get a palindrome (587272424272785).

The spelling of 144040014232344 in words is "one hundred forty-four trillion, forty billion, fourteen million, two hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 273043 546086 819129 1092172 1638258 2184344 2457387 3276516 4914774 6553032 7326889 9829548 14653778 19659096 21980667 29307556 43961334 58615112 65942001 87922668 131884002 175845336 263768004 527536008 2000555753227 4001111506454 6001667259681 8002223012908 12003334519362 16004446025816 18005001779043 24006669038724 36010003558086 48013338077448 72020007116172 144040014232344