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145434041129 = 1343833134557
BaseRepresentation
bin1000011101110010001…
…0110101101100101001
3111220101112210202210202
42013130202311230221
54340322103304004
6150451140121545
713335663644546
oct2073442655451
9456345722722
10145434041129
11567507a7723
12242296962b5
1310939620650
1470791d5bcd
153bb2d12b1e
hex21dc8b5b29

145434041129 has 16 divisors (see below), whose sum is σ = 162194569152. Its totient is φ = 129544930368.

The previous prime is 145434041113. The next prime is 145434041131. The reversal of 145434041129 is 921140434541.

145434041129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 145434041129 - 24 = 145434041113 is a prime.

It is a super-2 number, since 2×1454340411292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145434041092 and 145434041101.

It is not an unprimeable number, because it can be changed into a prime (145434041029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520882 + ... + 1613675.

It is an arithmetic number, because the mean of its divisors is an integer number (10137160572).

Almost surely, 2145434041129 is an apocalyptic number.

It is an amenable number.

145434041129 is a deficient number, since it is larger than the sum of its proper divisors (16760528023).

145434041129 is a wasteful number, since it uses less digits than its factorization.

145434041129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134696.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 145434041129 in words is "one hundred forty-five billion, four hundred thirty-four million, forty-one thousand, one hundred twenty-nine".

Divisors: 1 13 43 83 559 1079 3569 46397 3134557 40749241 134785951 260168231 1752217363 3382187003 11187233933 145434041129