Search a number
-
+
34320013103144 = 2343997679314731
BaseRepresentation
bin1111100110110110000000…
…01100001001000000101000
311111111221221201111110112202
413303123000030021000220
513444244341323300034
6200554221340355332
710141352630034326
oct763330014110050
9144457851443482
1034320013103144
11aa3204374858a
123a23546b45b48
13161c49537b342
14869151764d16
153e7b203eb47e
hex1f36c0309028

34320013103144 has 64 divisors (see below), whose sum is σ = 65926759525440. Its totient is φ = 16740523860480.

The previous prime is 34320013103087. The next prime is 34320013103171. The reversal of 34320013103144 is 44130131002343.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329774259 + ... + 2329788989.

It is an arithmetic number, because the mean of its divisors is an integer number (1030105617585).

Almost surely, 234320013103144 is an apocalyptic number.

It is an amenable number.

34320013103144 is a deficient number, since it is larger than the sum of its proper divisors (31606746422296).

34320013103144 is a wasteful number, since it uses less digits than its factorization.

34320013103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22570 (or 22566 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 34320013103144 its reverse (44130131002343), we get a palindrome (78450144105487).

The spelling of 34320013103144 in words is "thirty-four trillion, three hundred twenty billion, thirteen million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 43 86 172 344 997 1994 3988 6793 7976 13586 14731 27172 29462 42871 54344 58924 85742 117848 171484 292099 342968 584198 633433 1168396 1266866 2336792 2533732 5067464 6772621 13545242 14686807 27090484 29373614 54180968 58747228 100067683 117494456 200135366 291222703 400270732 582445406 631532701 800541464 1164890812 1263065402 2329781624 2526130804 4302910369 5052261608 8605820738 17211641476 34423282952 99767479951 199534959902 399069919804 798139839608 4290001637893 8580003275786 17160006551572 34320013103144