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34445643253 = 7172433591103
BaseRepresentation
bin100000000101000111…
…101100110111110101
310021220120112222102221
4200011013230313311
51031021041041003
623454001402341
72326411064620
oct400507546765
9107816488387
1034445643253
111367673866a
1268139393b1
13332c419438
14194aa44db7
15d6907b7bd
hex8051ecdf5

34445643253 has 48 divisors (see below), whose sum is σ = 42948956160. Its totient is φ = 27041704704.

The previous prime is 34445643233. The next prime is 34445643277. The reversal of 34445643253 is 35234654443.

34445643253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34445643253 - 221 = 34443546101 is a prime.

It is a super-2 number, since 2×344456432532 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34445643223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31228500 + ... + 31229602.

It is an arithmetic number, because the mean of its divisors is an integer number (894769920).

Almost surely, 234445643253 is an apocalyptic number.

It is an amenable number.

34445643253 is a deficient number, since it is larger than the sum of its proper divisors (8503312907).

34445643253 is a wasteful number, since it uses less digits than its factorization.

34445643253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 43.

The spelling of 34445643253 in words is "thirty-four billion, four hundred forty-five million, six hundred forty-three thousand, two hundred fifty-three".

Divisors: 1 7 17 43 119 289 301 359 731 1103 2023 2513 5117 6103 7721 12427 15437 18751 42721 47429 86989 103751 108059 131257 262429 318767 332003 395977 726257 806293 1837003 2231369 2771839 4461293 5644051 6731609 13706981 17027011 31229051 47121263 95948867 114437353 119189077 289459187 801061471 2026214309 4920806179 34445643253