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145434434541 = 31137119110921
BaseRepresentation
bin1000011101110010010…
…0010101101111101101
3111220101120112202110120
42013130210111233231
54340322203401131
6150451152355153
713336000203534
oct2073444255755
9456346482416
10145434434541
1156750a46260
1224229845ab9
131093972a736
14707929931b
153bb2d8e496
hex21dc915bed

145434434541 has 16 divisors (see below), whose sum is σ = 217258321728. Its totient is φ = 85759862400.

The previous prime is 145434434533. The next prime is 145434434557.

145434434541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145434434541 - 23 = 145434434533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145434434493 and 145434434502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145434434531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59554240 + ... + 59556681.

It is an arithmetic number, because the mean of its divisors is an integer number (13578645108).

Almost surely, 2145434434541 is an apocalyptic number.

145434434541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145434434541 is a deficient number, since it is larger than the sum of its proper divisors (71823887187).

145434434541 is a wasteful number, since it uses less digits than its factorization.

145434434541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119110972.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 145434 and 434541, that added together give a palindrome (579975).

The spelling of 145434434541 in words is "one hundred forty-five billion, four hundred thirty-four million, four hundred thirty-four thousand, five hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 119110921 357332763 1310220131 3930660393 4407104077 13221312231 48478144847 145434434541