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144110431201242 = 231115705713902541
BaseRepresentation
bin100000110001000101010011…
…000011110110011111011010
3200220020211012201201111210210
4200301011103003312133122
5122342101130341414432
61230255230152551550
742232430554025142
oct4061052303663732
9626224181644723
10144110431201242
1141a10988509890
12141b56979b25b6
13625472b15029c
142782da6bb7922
15119d99a3678cc
hex8311530f67da

144110431201242 has 32 divisors (see below), whose sum is σ = 314424783566784. Its totient is φ = 43669546444800.

The previous prime is 144110431201241. The next prime is 144110431201283. The reversal of 144110431201242 is 242102134011441.

144110431201242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1441104312012422 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144110431201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3414492 + ... + 17317032.

It is an arithmetic number, because the mean of its divisors is an integer number (9825774486462).

Almost surely, 2144110431201242 is an apocalyptic number.

144110431201242 is an abundant number, since it is smaller than the sum of its proper divisors (170314352365542).

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

144110431201242 is a wasteful number, since it uses less digits than its factorization.

144110431201242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14059614.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 144110431201242 its reverse (242102134011441), we get a palindrome (386212565212683).

The spelling of 144110431201242 in words is "one hundred forty-four trillion, one hundred ten billion, four hundred thirty-one million, two hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 157057 314114 471171 942342 1727627 3455254 5182881 10365762 13902541 27805082 41707623 83415246 152927951 305855902 458783853 917567706 2183491381837 4366982763674 6550474145511 13100948291022 24018405200207 48036810400414 72055215600621 144110431201242