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144042401034 = 23372913140157
BaseRepresentation
bin1000011000100110011…
…0001001110100001010
3111202210120012010111000
42012021212021310022
54324444323313114
6150101104315430
713256335131030
oct2061146116412
9452716163430
10144042401034
11560a71a8944
1223abb612b76
131077720b07c
146d8645c550
153b30a6ee09
hex2189989d0a

144042401034 has 64 divisors (see below), whose sum is σ = 378436550400. Its totient is φ = 39735831744.

The previous prime is 144042401033. The next prime is 144042401071. The reversal of 144042401034 is 430104240441.

144042401034 is a `hidden beast` number, since 1 + 4 + 404 + 240 + 10 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144042400989 and 144042401007.

It is not an unprimeable number, because it can be changed into a prime (144042401033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6559117 + ... + 6581040.

It is an arithmetic number, because the mean of its divisors is an integer number (5913071100).

Almost surely, 2144042401034 is an apocalyptic number.

144042401034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144042401034 is an abundant number, since it is smaller than the sum of its proper divisors (234394149366).

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

144042401034 is a wasteful number, since it uses less digits than its factorization.

144042401034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140204 (or 13140198 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144042401034 its reverse (430104240441), we get a palindrome (574146641475).

The spelling of 144042401034 in words is "one hundred forty-four billion, forty-two million, four hundred one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 5481 10962 13140157 26280314 39420471 78840942 91981099 118261413 183962198 236522826 275943297 354784239 381064553 551886594 709568478 762129106 827829891 1143193659 1655659782 2286387318 2483489673 2667451871 3429580977 4966979346 5334903742 6859161954 8002355613 10288742931 16004711226 20577485862 24007066839 48014133678 72021200517 144042401034