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34441032041 = 1321042919541
BaseRepresentation
bin100000000100110110…
…000111000101101001
310021220020212201001022
4200010312013011221
51031013401011131
623453314502225
72326323641063
oct400466070551
9107806781038
1034441032041
1113674079149
126812294975
13332b493600
14194a1a4733
15d6896a37b
hex804d87169

34441032041 has 12 divisors (see below), whose sum is σ = 37299619980. Its totient is φ = 31787046720.

The previous prime is 34441032013. The next prime is 34441032061. The reversal of 34441032041 is 14023014443.

It can be written as a sum of positive squares in 6 ways, for example, as 1087680400 + 33353351641 = 32980^2 + 182629^2 .

It is a de Polignac number, because none of the positive numbers 2k-34441032041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34441032041.

It is not an unprimeable number, because it can be changed into a prime (34441032061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1752731 + ... + 1772271.

It is an arithmetic number, because the mean of its divisors is an integer number (3108301665).

Almost surely, 234441032041 is an apocalyptic number.

It is an amenable number.

34441032041 is a deficient number, since it is larger than the sum of its proper divisors (2858587939).

34441032041 is a wasteful number, since it uses less digits than its factorization.

34441032041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29996 (or 29983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34441032041 its reverse (14023014443), we get a palindrome (48464046484).

The spelling of 34441032041 in words is "thirty-four billion, four hundred forty-one million, thirty-two thousand, forty-one".

Divisors: 1 13 169 10429 19541 135577 254033 1762501 3302429 203793089 2649310157 34441032041