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34440122421445 = 5134793110546221
BaseRepresentation
bin1111101010010101101110…
…10000110101000011000101
311111221102222100101000120011
413311022313100311003011
514003231332314441240
6201125323540110221
710153134224302066
oct765126720650305
9144842870330504
1034440122421445
11aa78a79289104
123a42887395371
13162a8c70bc6a0
14870ca740656d
153eaceec976ea
hex1f52b74350c5

34440122421445 has 16 divisors (see below), whose sum is σ = 44516521414512. Its totient is φ = 25427399339520.

The previous prime is 34440122421443. The next prime is 34440122421461. The reversal of 34440122421445 is 54412422104443.

It can be written as a sum of positive squares in 8 ways, for example, as 3531670767076 + 30908451654369 = 1879274^2 + 5559537^2 .

It is not a de Polignac number, because 34440122421445 - 21 = 34440122421443 is a prime.

It is a super-2 number, since 2×344401224214452 (a number of 28 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 = 34440122421398 and 34440122421407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440122421443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54961566 + ... + 55584655.

It is an arithmetic number, because the mean of its divisors is an integer number (2782282588407).

Almost surely, 234440122421445 is an apocalyptic number.

It is an amenable number.

34440122421445 is a deficient number, since it is larger than the sum of its proper divisors (10076398993067).

34440122421445 is a wasteful number, since it uses less digits than its factorization.

34440122421445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110551032.

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 34440122421445 its reverse (54412422104443), we get a palindrome (88852544525888).

The spelling of 34440122421445 in words is "thirty-four trillion, four hundred forty billion, one hundred twenty-two million, four hundred twenty-one thousand, four hundred forty-five".

Divisors: 1 5 13 65 4793 23965 62309 311545 110546221 552731105 1437100873 7185504365 529848037253 2649240186265 6888024484289 34440122421445