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144434640034665 = 335891092414431033
BaseRepresentation
bin100000110101110011001111…
…011010011001101101101001
3200221101211001101211200212000
4200311303033122121231221
5122412404120322102130
61231104205125241213
742265026011446011
oct4065631732315551
9627354041750760
10144434640034665
1142026428994a32
1214248498863209
1362791886060a6
142794961196c41
1511a7123019260
hex835ccf699b69

144434640034665 has 256 divisors, whose sum is σ = 263976527232000. Its totient is φ = 74912127713280.

The previous prime is 144434640034627. The next prime is 144434640034673. The reversal of 144434640034665 is 566430046434441.

144434640034665 is a `hidden beast` number, since 1 + 44 + 43 + 464 + 0 + 0 + 3 + 46 + 65 = 666.

It is not a de Polignac number, because 144434640034665 - 27 = 144434640034537 is a prime.

It is a super-2 number, since 2×1444346400346652 (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 255 ways as a sum of consecutive naturals, for example, 139820560989 + ... + 139820562021.

It is an arithmetic number, because the mean of its divisors is an integer number (1031158309500).

Almost surely, 2144434640034665 is an apocalyptic number.

144434640034665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144434640034665 is a deficient number, since it is larger than the sum of its proper divisors (119541887197335).

144434640034665 is a wasteful number, since it uses less digits than its factorization.

144434640034665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 144434640034665 in words is "one hundred forty-four trillion, four hundred thirty-four billion, six hundred forty million, thirty-four thousand, six hundred sixty-five".